162:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Sucesiones y series:@0.073089:0.043661:0.242349:0.043661:0.242349:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio 4:@0.294048:0.136875:0.370451:0.136875:0.370451:0.120206:0.294048:0.120206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la sucesión ( ) definida como sigue:   = –1 y   = 2:@0.294048:0.164237:0.789554:0.164239:0.789554:0.147805:0.294048:0.147803:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.491853:0.164237:0.501112:0.164237:0.501112:0.147831:0.491853:0.147831:0.000000
m:@0.501038:0.167411:0.509559:0.167411:0.509559:0.157846:0.501038:0.157846:0.000000
a:@0.675112:0.164239:0.684371:0.164239:0.684371:0.147832:0.675112:0.147832:0.000000
0:@0.684299:0.167411:0.689536:0.167411:0.689536:0.157830:0.684299:0.157830:0.000000
a:@0.743478:0.164239:0.752737:0.164239:0.752737:0.147832:0.743478:0.147832:0.000000
m:@0.752662:0.167411:0.761182:0.167411:0.761182:0.157846:0.752662:0.157846:0.000000
a:@0.789453:0.164239:0.798712:0.164239:0.798712:0.147832:0.789453:0.147832:0.000000
m:@0.798650:0.167411:0.807170:0.167411:0.807170:0.157846:0.798650:0.157846:0.000000
–1:@0.807128:0.167411:0.817687:0.167411:0.817687:0.157830:0.807128:0.157830:0.000000:0.000000
 + 1,        :@0.817641:0.164239:0.904578:0.164239:0.904578:0.147805:0.817641:0.147805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.866126:0.164239:0.880741:0.164239:0.880741:0.147832:0.866126:0.147832:0.000000
∈ ℤ:@0.884938:0.164821:0.917464:0.164821:0.917464:0.147167:0.884938:0.147167:0.000000:0.000000:0.000000
+:@0.917360:0.155653:0.923756:0.155653:0.923756:0.146072:0.917360:0.146072:0.000000
.:@0.923709:0.164239:0.926911:0.164239:0.926911:0.147805:0.923709:0.147805:0.000000
Determinemos, si es posible, el término general de esta sucesión. Tenemos para   = 1, :@0.294052:0.180880:0.930961:0.180880:0.930961:0.164447:0.294052:0.164447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.880562:0.180880:0.895177:0.180880:0.895177:0.164474:0.880562:0.164474:0.000000
m :@0.294052:0.197522:0.311907:0.197522:0.311907:0.181116:0.294052:0.181116:0.000000:0.000000
= 2, :@0.311852:0.197522:0.342776:0.197522:0.342776:0.181088:0.311852:0.181088:0.000000:0.000000:0.000000:0.000000:0.000000
...:@0.342665:0.197522:0.352513:0.197522:0.352513:0.181116:0.342665:0.181116:0.000000:0.000000:0.000000
a:@0.294052:0.228462:0.303311:0.228462:0.303311:0.212056:0.294052:0.212056:0.000000
1:@0.303240:0.231632:0.308198:0.231632:0.308198:0.222067:0.303240:0.222067:0.000000
 = 2:@0.308160:0.228460:0.335955:0.228460:0.335955:0.212026:0.308160:0.212026:0.000000:0.000000:0.000000:0.000000
a:@0.335845:0.228460:0.345103:0.228460:0.345103:0.212054:0.335845:0.212054:0.000000
1–1:@0.345045:0.231632:0.360799:0.231632:0.360799:0.222051:0.345045:0.222051:0.000000:0.000000:0.000000
 + 1 = 2  + 1 = 2 × (–1) + 1 = –1,:@0.360743:0.228460:0.600189:0.228460:0.600189:0.212026:0.360743:0.212026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.416130:0.228460:0.425389:0.228460:0.425389:0.212054:0.416130:0.212054:0.000000
0:@0.425321:0.231632:0.430557:0.231632:0.430557:0.222051:0.425321:0.222051:0.000000
a:@0.294040:0.248679:0.303299:0.248679:0.303299:0.232273:0.294040:0.232273:0.000000
2:@0.303240:0.251848:0.308198:0.251848:0.308198:0.242283:0.303240:0.242283:0.000000
 = 2:@0.308160:0.248674:0.335955:0.248674:0.335955:0.232241:0.308160:0.232241:0.000000:0.000000:0.000000:0.000000
a:@0.335845:0.248674:0.345103:0.248674:0.345103:0.232268:0.335845:0.232268:0.000000
2–1:@0.345045:0.251848:0.360799:0.251848:0.360799:0.242267:0.345045:0.242267:0.000000:0.000000:0.000000
 + 1 = 2  + 1 = 2 × (–1) + 1 = –1,:@0.360743:0.248674:0.600189:0.248674:0.600189:0.232241:0.360743:0.232241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.416130:0.248674:0.425389:0.248674:0.425389:0.232268:0.416130:0.232268:0.000000
1:@0.425321:0.251848:0.430557:0.251848:0.430557:0.242267:0.425321:0.242267:0.000000
∙:@0.294040:0.269477:0.303244:0.269477:0.303244:0.251822:0.294040:0.251822:0.000000
a:@0.294040:0.289114:0.303299:0.289114:0.303299:0.272708:0.294040:0.272708:0.000000
m:@0.303240:0.292279:0.311761:0.292279:0.311761:0.282714:0.303240:0.282714:0.000000
 = 2:@0.311723:0.289106:0.339518:0.289106:0.339518:0.272673:0.311723:0.272673:0.000000:0.000000:0.000000:0.000000
a:@0.339407:0.289106:0.348666:0.289106:0.348666:0.272700:0.339407:0.272700:0.000000
m:@0.348607:0.292279:0.357128:0.292279:0.357128:0.282714:0.348607:0.282714:0.000000
–1:@0.357085:0.292279:0.367645:0.292279:0.367645:0.282698:0.357085:0.282698:0.000000:0.000000
 + 1 = 2 × (–1) + 1 = –1.:@0.367599:0.289106:0.537277:0.289106:0.537277:0.272673:0.367599:0.272673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Claramente, ( ) es una :@0.294043:0.320046:0.466867:0.320043:0.466867:0.303609:0.294043:0.303613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.389559:0.320046:0.398817:0.320046:0.398817:0.303640:0.389559:0.303640:0.000000
m:@0.398764:0.323215:0.407285:0.323215:0.407285:0.313650:0.398764:0.313650:0.000000
sucesión:@0.466481:0.320043:0.532670:0.320043:0.532670:0.303373:0.466481:0.303373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 con término general constante e igual a –1, esto es,   :@0.532563:0.320043:0.930943:0.320043:0.930943:0.303609:0.532563:0.303609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.909212:0.320043:0.918471:0.320043:0.918471:0.303637:0.909212:0.303637:0.000000
m:@0.918391:0.323215:0.926911:0.323215:0.926911:0.313650:0.918391:0.313650:0.000000
= –1   :@0.294052:0.336684:0.338892:0.336684:0.338892:0.320251:0.294052:0.320251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.338763:0.337267:0.351041:0.337267:0.351041:0.319613:0.338763:0.319613:0.000000
m:@0.351041:0.336684:0.365656:0.336684:0.365656:0.320278:0.351041:0.320278:0.000000
   :@0.365674:0.336684:0.388392:0.336684:0.388392:0.320251:0.365674:0.320251:0.000000:0.000000:0.000000
∈:@0.369726:0.337083:0.384362:0.337083:0.384362:0.320231:0.369726:0.320231:0.000000
ℤ:@0.388411:0.337267:0.400688:0.337267:0.400688:0.319613:0.388411:0.319613:0.000000
+:@0.400682:0.328099:0.407077:0.328099:0.407077:0.318518:0.400682:0.318518:0.000000
.:@0.407030:0.336684:0.410233:0.336684:0.410233:0.320251:0.407030:0.320251:0.000000
Ejercicio 5:@0.294047:0.371189:0.370450:0.371189:0.370450:0.354519:0.294047:0.354519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Consideremos la sucesión ( ), definida como sigue:   =   y   = 2:@0.294047:0.396304:0.776543:0.396308:0.776543:0.379874:0.294047:0.379870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.490912:0.396304:0.500171:0.396304:0.500171:0.379898:0.490912:0.379898:0.000000
k:@0.500104:0.399480:0.504515:0.399480:0.504515:0.389915:0.500104:0.389915:0.000000
a:@0.671946:0.396308:0.681205:0.396308:0.681205:0.379902:0.671946:0.379902:0.000000
0:@0.681133:0.399480:0.686370:0.399480:0.686370:0.389899:0.681133:0.389899:0.000000
1:@0.707738:0.387944:0.716721:0.387944:0.716721:0.371510:0.707738:0.371510:0.000000
2:@0.707738:0.404336:0.716721:0.404336:0.716721:0.387902:0.707738:0.387902:0.000000
a:@0.735183:0.396306:0.744442:0.396306:0.744442:0.379900:0.735183:0.379900:0.000000
k:@0.744375:0.399480:0.748786:0.399480:0.748786:0.389915:0.744375:0.389915:0.000000
a:@0.776432:0.396308:0.785691:0.396308:0.785691:0.379902:0.776432:0.379902:0.000000
k:@0.785632:0.399480:0.790043:0.399480:0.790043:0.389915:0.785632:0.389915:0.000000
–1:@0.790000:0.399480:0.800560:0.399480:0.800560:0.389899:0.790000:0.389899:0.000000:0.000000
 + 1,       :@0.800512:0.396308:0.874270:0.396308:0.874270:0.379874:0.800512:0.379874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.843180:0.396308:0.850746:0.396308:0.850746:0.379902:0.843180:0.379902:0.000000
∈ ℤ:@0.854630:0.396890:0.886842:0.396890:0.886842:0.379236:0.854630:0.379236:0.000000:0.000000:0.000000
+:@0.886742:0.387722:0.893138:0.387722:0.893138:0.378141:0.886742:0.378141:0.000000
.:@0.893091:0.396308:0.896294:0.396308:0.896294:0.379874:0.893091:0.379874:0.000000
Determinemos, si es posible, el término general de esta sucesión. Tenemos::@0.294045:0.416527:0.837814:0.416527:0.837814:0.400094:0.294045:0.400094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.294045:0.446996:0.303304:0.446996:0.303304:0.430590:0.294045:0.430590:0.000000
1:@0.303240:0.450167:0.308198:0.450167:0.308198:0.440602:0.303240:0.440602:0.000000
 = 2  + 1 = 2 ×   + 1 = 2,:@0.308158:0.446995:0.497203:0.446992:0.497203:0.430558:0.308158:0.430561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.335843:0.446995:0.345102:0.446995:0.345102:0.430589:0.335843:0.430589:0.000000
0:@0.345045:0.450167:0.350282:0.450167:0.350282:0.440586:0.345045:0.440586:0.000000
1:@0.427034:0.440419:0.436017:0.440419:0.436017:0.423985:0.427034:0.423985:0.000000
2:@0.427034:0.456811:0.436017:0.456811:0.436017:0.440377:0.427034:0.440377:0.000000
a:@0.294042:0.477932:0.303301:0.477932:0.303301:0.461526:0.294042:0.461526:0.000000
2:@0.303240:0.481104:0.308198:0.481104:0.308198:0.471540:0.303240:0.471540:0.000000
 = 2  + 1 = 2 × 2 + 1 = 2  + 1 = 5,:@0.308158:0.477932:0.552533:0.477932:0.552533:0.461498:0.308158:0.461498:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.335843:0.477932:0.345102:0.477932:0.345102:0.461526:0.335843:0.461526:0.000000
1:@0.345045:0.481104:0.350282:0.481104:0.350282:0.471523:0.345045:0.471523:0.000000
2:@0.488698:0.471868:0.493935:0.471868:0.493935:0.462287:0.488698:0.462287:0.000000
a:@0.294040:0.503505:0.303299:0.503505:0.303299:0.487099:0.294040:0.487099:0.000000
3:@0.303240:0.506680:0.308198:0.506680:0.308198:0.497115:0.303240:0.497115:0.000000
 = 2  + 1 = 2 × 5 + 1 = 2(2  + 1) + 1 = 2  + 2 + 1 = 11,:@0.308158:0.503508:0.695929:0.503508:0.695929:0.487074:0.308158:0.487074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.335843:0.503508:0.345102:0.503508:0.345102:0.487101:0.335843:0.487101:0.000000
2:@0.345045:0.506680:0.350282:0.506680:0.350282:0.497099:0.345045:0.497099:0.000000
2:@0.502398:0.497444:0.507635:0.497444:0.507635:0.487863:0.502398:0.487863:0.000000
3:@0.595464:0.497444:0.600701:0.497444:0.600701:0.487863:0.595464:0.487863:0.000000
a:@0.294043:0.529080:0.303302:0.529080:0.303302:0.512674:0.294043:0.512674:0.000000
4:@0.303240:0.532257:0.308198:0.532257:0.308198:0.522692:0.303240:0.522692:0.000000
 = 2  + 1 = 2 × 11 + 1 = 2(2  + 2 + 1) + 1 = 2  + 2  + 2 + 1 = 23,:@0.308158:0.529084:0.765406:0.529084:0.765406:0.512650:0.308158:0.512650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.335843:0.529084:0.345102:0.529084:0.345102:0.512678:0.335843:0.512678:0.000000
3:@0.345045:0.532257:0.350282:0.532257:0.350282:0.522676:0.345045:0.522676:0.000000
3:@0.511299:0.523020:0.516536:0.523020:0.516536:0.513439:0.511299:0.513439:0.000000
4:@0.632057:0.523020:0.637294:0.523020:0.637294:0.513439:0.632057:0.513439:0.000000
2:@0.664941:0.523020:0.670178:0.523020:0.670178:0.513439:0.664941:0.513439:0.000000
∙:@0.294052:0.553451:0.303255:0.553451:0.303255:0.535796:0.294052:0.535796:0.000000
a:@0.294052:0.569510:0.303311:0.569510:0.303311:0.553104:0.294052:0.553104:0.000000
k:@0.303240:0.572687:0.307651:0.572687:0.307651:0.563123:0.303240:0.563123:0.000000
 = 2:@0.307611:0.569515:0.335406:0.569515:0.335406:0.553081:0.307611:0.553081:0.000000:0.000000:0.000000:0.000000
a:@0.335296:0.569515:0.344555:0.569515:0.344555:0.553109:0.335296:0.553109:0.000000
k:@0.344498:0.572687:0.348908:0.572687:0.348908:0.563123:0.344498:0.563123:0.000000
–1:@0.348865:0.572687:0.359425:0.572687:0.359425:0.563106:0.348865:0.563106:0.000000:0.000000
 + 1 = 2  + 2  + 2  + ... + 1 = 3 × 2  – 1,     :@0.359379:0.569515:0.693705:0.569515:0.693705:0.553081:0.359379:0.553081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.414765:0.563451:0.419175:0.563451:0.419175:0.553887:0.414765:0.553887:0.000000
k:@0.446830:0.563451:0.451241:0.563451:0.451241:0.553887:0.446830:0.553887:0.000000
–2:@0.451198:0.563451:0.461758:0.563451:0.461758:0.553870:0.451198:0.553870:0.000000:0.000000
k:@0.489405:0.563451:0.493815:0.563451:0.493815:0.553887:0.489405:0.553887:0.000000
–3:@0.493772:0.563451:0.504332:0.563451:0.504332:0.553870:0.493772:0.553870:0.000000:0.000000
k:@0.615523:0.563451:0.619933:0.563451:0.619933:0.553887:0.615523:0.553887:0.000000
–1:@0.619890:0.563451:0.630450:0.563451:0.630450:0.553870:0.619890:0.553870:0.000000:0.000000
k:@0.663408:0.569515:0.670974:0.569515:0.670974:0.553109:0.663408:0.553109:0.000000
∈:@0.675037:0.569913:0.689673:0.569913:0.689673:0.553062:0.675037:0.553062:0.000000
ℤ:@0.693723:0.570098:0.706001:0.570098:0.706001:0.552443:0.693723:0.552443:0.000000
+:@0.705993:0.560930:0.712389:0.560930:0.712389:0.551349:0.705993:0.551349:0.000000
 con   ≥ 1.:@0.712341:0.569515:0.786283:0.569515:0.786283:0.553081:0.712341:0.553081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.747867:0.569515:0.755433:0.569515:0.755433:0.553109:0.747867:0.553109:0.000000
Ejercicio 6:@0.294037:0.604019:0.370440:0.604019:0.370440:0.587350:0.294037:0.587350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) la sucesión real definida como:   = 1 y   = :@0.294037:0.638426:0.644348:0.638427:0.644348:0.621994:0.294037:0.621992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.327814:0.638426:0.333189:0.638426:0.333189:0.622020:0.327814:0.622020:0.000000
j:@0.333005:0.641600:0.335119:0.641600:0.335119:0.632035:0.333005:0.632035:0.000000
t:@0.565539:0.638427:0.570914:0.638427:0.570914:0.622021:0.565539:0.622021:0.000000
0:@0.570716:0.641600:0.575953:0.641600:0.575953:0.632019:0.570716:0.632019:0.000000
t:@0.618535:0.638427:0.623910:0.638427:0.623910:0.622021:0.618535:0.622021:0.000000
j:@0.623721:0.641600:0.625835:0.641600:0.625835:0.632035:0.623721:0.632035:0.000000
– :@0.650901:0.627347:0.664063:0.627347:0.664063:0.610913:0.650901:0.610913:0.000000:0.000000
1:@0.671335:0.618988:0.680318:0.618988:0.680318:0.602554:0.671335:0.602554:0.000000
t:@0.666163:0.635380:0.671538:0.635380:0.671538:0.618974:0.666163:0.618974:0.000000
j:@0.672856:0.638550:0.674970:0.638550:0.674970:0.628985:0.672856:0.628985:0.000000
–1:@0.674927:0.638550:0.685483:0.638550:0.685483:0.628969:0.674927:0.628969:0.000000:0.000000
 + 1, si   ≠ 0,:@0.687604:0.627351:0.781993:0.627351:0.781993:0.610917:0.687604:0.610917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.735039:0.627351:0.740414:0.627351:0.740414:0.610944:0.735039:0.610944:0.000000
j:@0.740339:0.630523:0.742453:0.630523:0.742453:0.620958:0.740339:0.620958:0.000000
–1:@0.742410:0.630523:0.752970:0.630523:0.752970:0.620942:0.742410:0.620942:0.000000:0.000000
–1, si   = 0,:@0.650893:0.660079:0.739310:0.660074:0.739310:0.643641:0.650893:0.643646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.690487:0.660079:0.695862:0.660079:0.695862:0.643673:0.690487:0.643673:0.000000
j:@0.695802:0.663247:0.697916:0.663247:0.697916:0.653682:0.695802:0.653682:0.000000
–1:@0.697873:0.663247:0.708433:0.663247:0.708433:0.653666:0.697873:0.653666:0.000000:0.000000
j:@0.294047:0.665791:0.297673:0.665791:0.297673:0.649385:0.294047:0.649385:0.000000
   :@0.297700:0.665791:0.320409:0.665791:0.320409:0.649357:0.297700:0.649357:0.000000:0.000000:0.000000
∈:@0.301743:0.666189:0.316379:0.666189:0.316379:0.649337:0.301743:0.649337:0.000000
ℤ:@0.320428:0.666373:0.332705:0.666373:0.332705:0.648719:0.320428:0.648719:0.000000
+:@0.332699:0.657205:0.339094:0.657205:0.339094:0.647624:0.332699:0.647624:0.000000
.:@0.339047:0.665791:0.342250:0.665791:0.342250:0.649357:0.339047:0.649357:0.000000
Determinemos el término general de esta sucesión, siempre que sea posible. Tenemos::@0.294042:0.693153:0.923533:0.693153:0.923533:0.676719:0.294042:0.676719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.294042:0.731665:0.299417:0.731665:0.299417:0.715258:0.294042:0.715258:0.000000
1:@0.299356:0.734839:0.304593:0.734839:0.304593:0.725258:0.299356:0.725258:0.000000
 = –  + 1 = –   + 1 = 0,      = –1,:@0.304546:0.731667:0.549129:0.731667:0.549129:0.715233:0.304546:0.715233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.339034:0.724197:0.348017:0.724197:0.348017:0.707763:0.339034:0.707763:0.000000
t:@0.338261:0.740589:0.343636:0.740589:0.343636:0.724183:0.338261:0.724183:0.000000
0:@0.343561:0.743759:0.348797:0.743759:0.348797:0.734178:0.343561:0.734178:0.000000
1:@0.412742:0.725091:0.421724:0.725091:0.421724:0.708657:0.412742:0.708657:0.000000
1:@0.412742:0.741483:0.421724:0.741483:0.421724:0.725049:0.412742:0.725049:0.000000
t:@0.498575:0.731665:0.503950:0.731665:0.503950:0.715258:0.498575:0.715258:0.000000
2:@0.503884:0.734839:0.509121:0.734839:0.509121:0.725258:0.503884:0.725258:0.000000
t:@0.294042:0.771080:0.299417:0.771080:0.299417:0.754674:0.294042:0.754674:0.000000
3:@0.299356:0.774246:0.304593:0.774246:0.304593:0.764666:0.299356:0.764666:0.000000
 = – :@0.304546:0.771074:0.336519:0.771074:0.336519:0.754640:0.304546:0.754640:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.339034:0.763604:0.348017:0.763604:0.348017:0.747170:0.339034:0.747170:0.000000
t:@0.338261:0.779996:0.343636:0.779996:0.343636:0.763590:0.338261:0.763590:0.000000
2:@0.343561:0.783166:0.348797:0.783166:0.348797:0.773585:0.343561:0.773585:0.000000
+ 1 = – :@0.370348:0.771074:0.426085:0.771074:0.426085:0.754640:0.370348:0.754640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.430915:0.763604:0.439897:0.763604:0.439897:0.747170:0.430915:0.747170:0.000000
–1:@0.426350:0.779996:0.444462:0.779996:0.444462:0.763563:0.426350:0.763563:0.000000:0.000000
+ 1 = 2,      = – :@0.468557:0.771079:0.581345:0.771074:0.581345:0.754640:0.468557:0.754645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.538873:0.771079:0.544248:0.771079:0.544248:0.754673:0.538873:0.754673:0.000000
4:@0.544183:0.774246:0.549420:0.774246:0.549420:0.764666:0.544183:0.764666:0.000000
1:@0.583861:0.763604:0.592843:0.763604:0.592843:0.747170:0.583861:0.747170:0.000000
t:@0.583087:0.779996:0.588462:0.779996:0.588462:0.763590:0.583087:0.763590:0.000000
3:@0.588389:0.783166:0.593626:0.783166:0.593626:0.773585:0.588389:0.773585:0.000000
+ 1 = –:@0.615175:0.771074:0.666954:0.771074:0.666954:0.754640:0.615175:0.754640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.673370:0.763604:0.682353:0.763604:0.682353:0.747170:0.673370:0.747170:0.000000
2:@0.673370:0.779996:0.682353:0.779996:0.682353:0.763563:0.673370:0.763563:0.000000
+ 1 =   ,:@0.704681:0.771079:0.768489:0.771073:0.768489:0.754639:0.704681:0.754645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.749805:0.762710:0.758788:0.762710:0.758788:0.746277:0.749805:0.746277:0.000000
2:@0.749805:0.779103:0.758788:0.779103:0.758788:0.762669:0.749805:0.762669:0.000000
t:@0.294042:0.809585:0.299417:0.809585:0.299417:0.793179:0.294042:0.793179:0.000000
5:@0.299356:0.812760:0.304593:0.812760:0.304593:0.803179:0.299356:0.803179:0.000000
 = – :@0.304546:0.809587:0.336519:0.809587:0.336519:0.793154:0.304546:0.793154:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.339034:0.803010:0.348017:0.803010:0.348017:0.786576:0.339034:0.786576:0.000000
t:@0.338261:0.819402:0.343636:0.819402:0.343636:0.802996:0.338261:0.802996:0.000000
4:@0.343561:0.822572:0.348797:0.822572:0.348797:0.812991:0.343561:0.812991:0.000000
+ 1 = – :@0.358475:0.809587:0.414213:0.809587:0.414213:0.793154:0.358475:0.793154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.420617:0.803010:0.429599:0.803010:0.429599:0.786576:0.420617:0.786576:0.000000
1:@0.421329:0.819092:0.430312:0.819092:0.430312:0.802658:0.421329:0.802658:0.000000
2:@0.421329:0.835484:0.430312:0.835484:0.430312:0.819051:0.421329:0.819051:0.000000
  + 1 = –1,      = – :@0.436074:0.809592:0.566660:0.809587:0.566660:0.793154:0.436074:0.793159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
t:@0.524189:0.809592:0.529564:0.809592:0.529564:0.793186:0.524189:0.793186:0.000000
6:@0.529497:0.812760:0.534734:0.812760:0.534734:0.803179:0.529497:0.803179:0.000000
1:@0.569175:0.802117:0.578158:0.802117:0.578158:0.785684:0.569175:0.785684:0.000000
t:@0.568402:0.818510:0.573777:0.818510:0.573777:0.802104:0.568402:0.802104:0.000000
5:@0.573701:0.821679:0.578938:0.821679:0.578938:0.812099:0.573701:0.812099:0.000000
+ 1 = – :@0.588616:0.809587:0.644353:0.809587:0.644353:0.793154:0.588616:0.793154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.649205:0.802117:0.658187:0.802117:0.658187:0.785684:0.649205:0.785684:0.000000
–1:@0.644640:0.818510:0.662752:0.818510:0.662752:0.802076:0.644640:0.802076:0.000000:0.000000
+ 1 = 2,:@0.667060:0.809592:0.721748:0.809592:0.721748:0.793159:0.667060:0.793159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.294055:0.841115:0.303259:0.841115:0.303259:0.823461:0.294055:0.823461:0.000000
t:@0.294055:0.888641:0.299430:0.888641:0.299430:0.872235:0.294055:0.872235:0.000000
j:@0.299356:0.891802:0.301470:0.891802:0.301470:0.882237:0.299356:0.882237:0.000000
 = :@0.301431:0.888630:0.320317:0.888630:0.320317:0.872196:0.301431:0.872196:0.000000:0.000000:0.000000
2, si   ≥ 3 es múltiplo de 3,:@0.329686:0.861129:0.515379:0.861129:0.515379:0.844695:0.329686:0.844695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.360169:0.861129:0.363795:0.861129:0.363795:0.844723:0.360169:0.844723:0.000000
1:@0.332304:0.881451:0.341286:0.881451:0.341286:0.865017:0.332304:0.865017:0.000000
2:@0.332304:0.897843:0.341286:0.897843:0.341286:0.881410:0.332304:0.881410:0.000000
 , si   es de la forma de 3  + 1,           donde      .:@0.343827:0.888025:0.696454:0.888025:0.696454:0.871591:0.343827:0.871591:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.369357:0.888025:0.372984:0.888025:0.372984:0.871619:0.369357:0.871619:0.000000
k:@0.513726:0.888025:0.521291:0.888025:0.521291:0.871619:0.513726:0.871619:0.000000
k:@0.647638:0.888025:0.655204:0.888025:0.655204:0.871619:0.647638:0.871619:0.000000
∈ ℕ:@0.659088:0.888607:0.693344:0.888607:0.693344:0.870953:0.659088:0.870953:0.000000:0.000000:0.000000
1, si   es de la forma de 3  + 2,:@0.329653:0.915387:0.542919:0.915387:0.542919:0.898953:0.329653:0.898953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j:@0.360135:0.915387:0.363762:0.915387:0.363762:0.898981:0.360135:0.898981:0.000000
k:@0.504504:0.915387:0.512069:0.915387:0.512069:0.898981:0.504504:0.898981:0.000000
Sucesión.:@0.088062:0.854620:0.153232:0.853334:0.152706:0.838185:0.087536:0.839471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Conjunto :@0.153132:0.853336:0.222607:0.851965:0.222088:0.837030:0.152612:0.838401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ordenado de términos :@0.088585:0.869743:0.240451:0.866747:0.239932:0.851812:0.088065:0.854808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que cumplen una ley :@0.089110:0.884867:0.233048:0.882027:0.232529:0.867092:0.088591:0.869932:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada.:@0.089636:0.899991:0.177697:0.898253:0.177177:0.883319:0.089117:0.885056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.141335:0.829307:0.200954:0.829307:0.200954:0.813900:0.141335:0.813900:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinaria :@0.078581:0.142249:0.201990:0.142249:0.201990:0.126842:0.078581:0.126842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática e :@0.078581:0.157378:0.172244:0.157378:0.172244:0.142438:0.078581:0.142438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
historia:@0.078581:0.172506:0.126928:0.172506:0.126928:0.157567:0.078581:0.157567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números de Fibonacci :@0.079392:0.200121:0.257054:0.200121:0.257054:0.185181:0.079392:0.185181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(publicados en la obra :@0.079392:0.215250:0.231102:0.215250:0.231102:0.200310:0.079392:0.200310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Liber Abaci,:@0.079392:0.230378:0.152335:0.230378:0.152335:0.215464:0.079392:0.215464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aproximada-:@0.152335:0.230378:0.240021:0.230378:0.240021:0.215439:0.152335:0.215439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mente en 1202) están :@0.079392:0.245507:0.228307:0.245507:0.228307:0.230568:0.079392:0.230568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definidos como: :@0.079392:0.260636:0.190639:0.260636:0.190639:0.245697:0.079392:0.245697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u  = 1, u  = 1, :@0.084128:0.275765:0.175519:0.275765:0.175519:0.260825:0.084128:0.260825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.093021:0.278649:0.097782:0.278649:0.097782:0.269939:0.093021:0.269939:0.000000
1:@0.138713:0.278649:0.143474:0.278649:0.143474:0.269939:0.138713:0.269939:0.000000
u  = u  + u , n = 2, 3, ..:@0.084135:0.290894:0.244519:0.290894:0.244519:0.275954:0.084135:0.275954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.093021:0.293778:0.097782:0.293778:0.097782:0.285068:0.093021:0.285068:0.000000
n–1:@0.123970:0.293778:0.138643:0.293778:0.138643:0.285068:0.123970:0.285068:0.000000:0.000000:0.000000
n–2:@0.164065:0.293778:0.178737:0.293778:0.178737:0.285068:0.164065:0.285068:0.000000:0.000000:0.000000
.:@0.238698:0.290894:0.241609:0.290894:0.241609:0.275954:0.238698:0.275954:0.000000
Así, se obtienen los prime-:@0.079391:0.313172:0.255415:0.313172:0.255415:0.298232:0.079391:0.298232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ros doce números::@0.079391:0.328301:0.202685:0.328301:0.202685:0.313361:0.079391:0.313361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u  = u  + u  = 2,:@0.079391:0.343429:0.183317:0.343428:0.183317:0.328488:0.079391:0.328490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.088278:0.346312:0.093039:0.346312:0.093039:0.337602:0.088278:0.337602:0.000000
1:@0.119227:0.346312:0.123988:0.346312:0.123988:0.337602:0.119227:0.337602:0.000000
0:@0.150176:0.346312:0.154936:0.346312:0.154936:0.337602:0.150176:0.337602:0.000000
u  = u  + u  = 3,:@0.079400:0.358557:0.183317:0.358557:0.183317:0.343617:0.079400:0.343617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.088278:0.361441:0.093039:0.361441:0.093039:0.352731:0.088278:0.352731:0.000000
2:@0.119227:0.361441:0.123988:0.361441:0.123988:0.352731:0.119227:0.352731:0.000000
1:@0.150176:0.361441:0.154936:0.361441:0.154936:0.352731:0.150176:0.352731:0.000000
u  = u  + u  = 5,:@0.079400:0.373686:0.183317:0.373686:0.183317:0.358746:0.079400:0.358746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.088278:0.376570:0.093039:0.376570:0.093039:0.367860:0.088278:0.367860:0.000000
3:@0.119227:0.376570:0.123988:0.376570:0.123988:0.367860:0.119227:0.367860:0.000000
2:@0.150176:0.376570:0.154936:0.376570:0.154936:0.367860:0.150176:0.367860:0.000000
u  = u  + u  = 8,:@0.079400:0.388815:0.183317:0.388815:0.183317:0.373875:0.079400:0.373875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.088278:0.391699:0.093039:0.391699:0.093039:0.382989:0.088278:0.382989:0.000000
4:@0.119227:0.391699:0.123988:0.391699:0.123988:0.382989:0.119227:0.382989:0.000000
3:@0.150176:0.391699:0.154936:0.391699:0.154936:0.382989:0.150176:0.382989:0.000000
u  = 13,:@0.079400:0.403944:0.129586:0.403944:0.129586:0.389004:0.079400:0.389004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.088278:0.406828:0.093039:0.406828:0.093039:0.398118:0.088278:0.398118:0.000000
u  = 21,:@0.079401:0.419073:0.129586:0.419073:0.129586:0.404133:0.079401:0.404133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.088278:0.421957:0.093039:0.421957:0.093039:0.413247:0.088278:0.413247:0.000000
u  = 34,:@0.079401:0.434202:0.129586:0.434202:0.129586:0.419262:0.079401:0.419262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.088278:0.437086:0.093039:0.437086:0.093039:0.428376:0.088278:0.428376:0.000000
u  = 55,:@0.079401:0.449331:0.129586:0.449331:0.129586:0.434391:0.079401:0.434391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9:@0.088278:0.452215:0.093039:0.452215:0.093039:0.443505:0.088278:0.443505:0.000000
u  = 89,:@0.079401:0.464460:0.134346:0.464460:0.134346:0.449520:0.079401:0.449520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10:@0.088278:0.467344:0.097800:0.467344:0.097800:0.458634:0.088278:0.458634:0.000000:0.000000
u  = 144,:@0.079392:0.479589:0.142512:0.479589:0.142512:0.464649:0.079392:0.464649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.088278:0.482473:0.097800:0.482473:0.097800:0.473763:0.088278:0.473763:0.000000:0.000000
u  = 233, ...:@0.079392:0.494718:0.154912:0.494718:0.154912:0.479778:0.079392:0.479778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.088278:0.497602:0.097800:0.497602:0.097800:0.488892:0.088278:0.488892:0.000000:0.000000
En cursos superiores de :@0.079392:0.516995:0.239751:0.516995:0.239751:0.502055:0.079392:0.502055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
geometría aparecen estos :@0.079392:0.532124:0.256065:0.532124:0.256065:0.517184:0.079392:0.517184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números en muchos pro-:@0.079392:0.547253:0.249325:0.547253:0.249325:0.532313:0.079392:0.532313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
blemas aplicados. :@0.079392:0.562382:0.201079:0.562382:0.201079:0.547442:0.079392:0.547442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Leonardo de Pisa, más conocido :@0.079392:0.720148:0.257798:0.720148:0.257798:0.708196:0.079392:0.708196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como Fibonacci.:@0.079392:0.732251:0.166162:0.732251:0.166162:0.720299:0.079392:0.720299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Indaga:@0.079392:0.753501:0.127432:0.753501:0.127432:0.738346:0.079392:0.738346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 sobre Leonardo de :@0.127352:0.753501:0.258880:0.753501:0.258880:0.738561:0.127352:0.738561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pisa. Luego, :@0.079392:0.768630:0.159027:0.768630:0.159027:0.753690:0.079392:0.753690:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
confecciona:@0.158895:0.768630:0.242484:0.768630:0.242484:0.753475:0.158895:0.753475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.242464:0.768630:0.246129:0.768630:0.246129:0.753690:0.242464:0.753690:0.000000
una ficha bibliográfica.:@0.079392:0.783759:0.227815:0.783759:0.227815:0.768819:0.079392:0.768819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 1) Encuentra las relaciones y propiedades que determinan la formación de secuencias numéricas.:@0.350614:0.971366:0.918061:0.971366:0.918061:0.959415:0.350614:0.959415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000