114:@0.052592:0.966074:0.080768:0.966074:0.080768:0.949450:0.052592:0.949450:0.000000:0.000000:0.000000 Evaluación formativa:@0.303782:0.074925:0.552575:0.074925:0.552575:0.050342:0.303782:0.050342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Taller:@0.136183:0.077858:0.213378:0.077858:0.213378:0.047130:0.136183:0.047130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 I.M.4.2.2.:@0.139073:0.103262:0.184560:0.103262:0.184560:0.092507:0.139073:0.092507:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1. :@0.096359:0.126056:0.115100:0.126056:0.115100:0.108920:0.096359:0.108920:0.000000:0.000000:0.000000 Lee:@0.124848:0.126056:0.152748:0.126056:0.152748:0.109155:0.124848:0.109155:0.000000:0.000000:0.000000 la información. Luego, :@0.152748:0.126056:0.323010:0.126056:0.323010:0.110386:0.152748:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 realiza:@0.323148:0.126056:0.375519:0.126056:0.375519:0.109155:0.323148:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las actividades :@0.375519:0.126056:0.489787:0.126056:0.489787:0.110386:0.375519:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indicadas.:@0.124848:0.142652:0.197306:0.142652:0.197306:0.126982:0.124848:0.126982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.124848:0.166371:0.144087:0.166371:0.144087:0.149235:0.124848:0.149235:0.000000:0.000000:0.000000 Al analizar el triángulo de Pascal en forma :@0.153337:0.166371:0.489798:0.166371:0.489798:0.150701:0.153337:0.150701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 diagonal, se observa la disposición de los :@0.153337:0.182967:0.489784:0.182967:0.489784:0.167298:0.153337:0.167298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 siguientes tipos de números::@0.153337:0.199564:0.364201:0.199564:0.364201:0.183894:0.153337:0.183894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.124848:0.389357:0.128571:0.389357:0.128571:0.372221:0.124848:0.372221:0.000000 Los números triangulares son aquellos que :@0.153337:0.389357:0.489785:0.389357:0.489785:0.373687:0.153337:0.373687:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 permiten obtener una estructura triangular.:@0.153337:0.405954:0.471946:0.405954:0.471946:0.390284:0.153337:0.390284:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.429673:0.100082:0.429673:0.100082:0.412537:0.096359:0.412537:0.000000 :@0.124848:0.500843:0.128884:0.500843:0.128884:0.485174:0.124848:0.485174:0.000000 Los números tetraédricos son aquellos que :@0.153337:0.500843:0.489767:0.500843:0.489767:0.485174:0.153337:0.485174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 permiten obtener una estructura piramidal :@0.153337:0.517440:0.489785:0.517440:0.489785:0.501770:0.153337:0.501770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de base triangular.:@0.153337:0.534036:0.287968:0.534036:0.287968:0.518366:0.153337:0.518366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.557755:0.100082:0.557755:0.100082:0.540619:0.096359:0.540619:0.000000 b) :@0.124848:0.652659:0.145229:0.652659:0.145229:0.635523:0.124848:0.635523:0.000000:0.000000:0.000000 Escribe:@0.153337:0.652659:0.210408:0.652659:0.210408:0.635758:0.153337:0.635758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los números triangulares que :@0.210408:0.652659:0.489785:0.652659:0.489785:0.636989:0.210408:0.636989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 corresponden a cada figura.:@0.153337:0.669255:0.357847:0.669255:0.357847:0.653585:0.153337:0.653585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.692974:0.100082:0.692974:0.100082:0.675838:0.096359:0.675838:0.000000 c) :@0.124848:0.787878:0.142668:0.787878:0.142668:0.770742:0.124848:0.770742:0.000000:0.000000:0.000000 Escribe:@0.153337:0.787878:0.210408:0.787878:0.210408:0.770977:0.153337:0.770977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el número tetraédrico que corres-:@0.210408:0.787878:0.485730:0.787878:0.485730:0.772208:0.210408:0.772208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ponde a la siguiente figura.:@0.153337:0.804474:0.352391:0.804474:0.352391:0.788804:0.153337:0.788804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2. :@0.514246:0.126056:0.532987:0.126056:0.532987:0.108920:0.514246:0.108920:0.000000:0.000000:0.000000 Encuentra:@0.542735:0.126056:0.623706:0.126056:0.623706:0.109155:0.542735:0.109155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los números que corresponden a la :@0.623706:0.126056:0.907674:0.126056:0.907674:0.110386:0.623706:0.110386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 fila 10, la fila 11 y la fila 12 del triángulo de Pascal.:@0.542735:0.142652:0.900684:0.142652:0.900684:0.126982:0.542735:0.126982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Fila:@0.542735:0.179952:0.566820:0.179952:0.566820:0.164283:0.542735:0.164283:0.000000:0.000000:0.000000:0.000000 10:@0.570856:0.179952:0.588841:0.179952:0.588841:0.164283:0.570856:0.164283:0.000000:0.000000 :@0.588841:0.179952:0.592877:0.179952:0.592877:0.164283:0.588841:0.164283:0.000000 Fila:@0.542735:0.217253:0.566820:0.217253:0.566820:0.201583:0.542735:0.201583:0.000000:0.000000:0.000000:0.000000 11:@0.570856:0.217253:0.588841:0.217253:0.588841:0.201583:0.570856:0.201583:0.000000:0.000000 Fila:@0.542735:0.255646:0.566820:0.255646:0.566820:0.239976:0.542735:0.239976:0.000000:0.000000:0.000000:0.000000 12:@0.570856:0.255646:0.588841:0.255646:0.588841:0.239976:0.570856:0.239976:0.000000:0.000000 3. :@0.514246:0.303098:0.532987:0.303098:0.532987:0.285962:0.514246:0.285962:0.000000:0.000000:0.000000 Determina:@0.542735:0.303098:0.627502:0.303098:0.627502:0.286197:0.542735:0.286197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el número de términos que :@0.627502:0.303098:0.836542:0.303098:0.836542:0.287428:0.627502:0.287428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 corresponde al desarrollo del binomio.:@0.542735:0.319694:0.825210:0.319694:0.825210:0.304024:0.542735:0.304024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.542735:0.353219:0.558251:0.353219:0.558251:0.336083:0.542735:0.336083:0.000000:0.000000 :@0.558251:0.356994:0.561973:0.356994:0.561973:0.339859:0.558251:0.339859:0.000000 −:@0.591962:0.352652:0.602079:0.352652:0.602079:0.337079:0.591962:0.337079:0.000000 xb:@0.580600:0.351974:0.614102:0.351974:0.614102:0.335613:0.580600:0.335613:0.000000:0.000000 (:@0.573432:0.351974:0.578315:0.351974:0.578315:0.336304:0.573432:0.336304:0.000000 ):@0.615097:0.351974:0.619980:0.351974:0.619980:0.336304:0.615097:0.336304:0.000000 5:@0.619969:0.344311:0.625180:0.344311:0.625180:0.335230:0.619969:0.335230:0.000000 :@0.628189:0.357003:0.631911:0.357003:0.631911:0.339867:0.628189:0.339867:0.000000 b):@0.542740:0.395562:0.559399:0.395562:0.559399:0.378426:0.542740:0.378426:0.000000:0.000000 :@0.559399:0.399338:0.563121:0.399338:0.563121:0.382202:0.559399:0.382202:0.000000 −:@0.596254:0.394984:0.606371:0.394984:0.606371:0.379411:0.596254:0.379411:0.000000 mn:@0.579135:0.394306:0.619012:0.394306:0.619012:0.377945:0.579135:0.377945:0.000000:0.000000 (:@0.573422:0.394306:0.578305:0.394306:0.578305:0.378636:0.573422:0.378636:0.000000 ):@0.619381:0.394306:0.624264:0.394306:0.624264:0.378636:0.619381:0.378636:0.000000 8:@0.624262:0.386645:0.629474:0.386645:0.629474:0.377564:0.624262:0.377564:0.000000 :@0.633215:0.399335:0.636937:0.399335:0.636937:0.382199:0.633215:0.382199:0.000000 c):@0.542735:0.437894:0.556832:0.437894:0.556832:0.420758:0.542735:0.420758:0.000000:0.000000 :@0.556832:0.441670:0.560554:0.441670:0.560554:0.424534:0.556832:0.424534:0.000000 −:@0.598663:0.437317:0.608780:0.437317:0.608780:0.421744:0.598663:0.421744:0.000000 a:@0.579498:0.436639:0.588767:0.436639:0.588767:0.420278:0.579498:0.420278:0.000000 b:@0.611544:0.436639:0.620813:0.436639:0.620813:0.420278:0.611544:0.420278:0.000000 (:@0.573417:0.436639:0.578300:0.436639:0.578300:0.420970:0.573417:0.420970:0.000000 ):@0.629068:0.436639:0.633952:0.436639:0.633952:0.420970:0.629068:0.420970:0.000000 5:@0.589343:0.428977:0.594555:0.428977:0.594555:0.419896:0.589343:0.419896:0.000000 2 2:@0.621382:0.428977:0.639158:0.428977:0.639158:0.419896:0.621382:0.419896:0.000000:0.000000:0.000000 d) :@0.542738:0.475199:0.563230:0.475199:0.563230:0.458064:0.542738:0.458064:0.000000:0.000000:0.000000 :@0.563230:0.478975:0.570675:0.478975:0.570675:0.461839:0.563230:0.461839:0.000000:0.000000 +:@0.604493:0.474620:0.614609:0.474620:0.614609:0.459047:0.604493:0.459047:0.000000 m:@0.587373:0.473942:0.602005:0.473942:0.602005:0.457581:0.587373:0.457581:0.000000 (2:@0.572871:0.473942:0.587576:0.473942:0.587576:0.458272:0.572871:0.458272:0.000000:0.000000 6):@0.617742:0.473942:0.632521:0.473942:0.632521:0.458272:0.617742:0.458272:0.000000:0.000000 11:@0.631821:0.466280:0.642105:0.466280:0.642105:0.457199:0.631821:0.457199:0.000000:0.000000 e) :@0.542738:0.517531:0.561977:0.517531:0.561977:0.500396:0.542738:0.500396:0.000000:0.000000:0.000000 :@0.561977:0.521307:0.569422:0.521307:0.569422:0.504171:0.561977:0.504171:0.000000:0.000000 −:@0.589367:0.516952:0.599484:0.516952:0.599484:0.501379:0.589367:0.501379:0.000000 z:@0.578421:0.516274:0.585663:0.516274:0.585663:0.499913:0.578421:0.499913:0.000000 (:@0.571619:0.516274:0.576503:0.516274:0.576503:0.500604:0.571619:0.500604:0.000000 8):@0.602246:0.516274:0.617023:0.516274:0.617023:0.500604:0.602246:0.500604:0.000000:0.000000 n:@0.617218:0.508613:0.622728:0.508613:0.622728:0.499131:0.617218:0.499131:0.000000 :@0.626380:0.521303:0.630102:0.521303:0.630102:0.504168:0.626380:0.504168:0.000000 f):@0.542737:0.559862:0.556134:0.559862:0.556134:0.542727:0.542737:0.542727:0.000000:0.000000 :@0.556134:0.563638:0.567301:0.563638:0.567301:0.546502:0.556134:0.546502:0.000000:0.000000:0.000000 −:@0.584629:0.559284:0.594746:0.559284:0.594746:0.543711:0.584629:0.543711:0.000000 r:@0.575581:0.558606:0.580870:0.558606:0.580870:0.542245:0.575581:0.542245:0.000000 s:@0.606687:0.558606:0.613063:0.558606:0.613063:0.542245:0.606687:0.542245:0.000000 (:@0.569500:0.558606:0.574384:0.558606:0.574384:0.542937:0.569500:0.542937:0.000000 2 ):@0.597510:0.558606:0.619144:0.558606:0.619144:0.542937:0.597510:0.542937:0.000000:0.000000:0.000000 20:@0.619129:0.550945:0.629414:0.550945:0.629414:0.541864:0.619129:0.541864:0.000000:0.000000 4. :@0.514246:0.593396:0.532987:0.593396:0.532987:0.576260:0.514246:0.576260:0.000000:0.000000:0.000000 Determina:@0.542735:0.593396:0.627502:0.593396:0.627502:0.576495:0.542735:0.576495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 lo solicitado para cada binomio. :@0.627502:0.593396:0.868458:0.593396:0.868458:0.577726:0.627502:0.577726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a) :@0.542735:0.623159:0.561973:0.623159:0.561973:0.606023:0.542735:0.606023:0.000000:0.000000:0.000000 El primero y último término del desarrollo de: :@0.571224:0.623159:0.907468:0.623159:0.907468:0.607489:0.571224:0.607489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 −:@0.595286:0.648814:0.605402:0.648814:0.605402:0.633241:0.595286:0.633241:0.000000 xa:@0.583926:0.648136:0.617796:0.648136:0.617796:0.631775:0.583926:0.631775:0.000000:0.000000 (:@0.576757:0.648136:0.581641:0.648136:0.581641:0.632466:0.576757:0.632466:0.000000 ):@0.618791:0.648136:0.623674:0.648136:0.623674:0.632466:0.618791:0.632466:0.000000 9:@0.623659:0.640475:0.628871:0.640475:0.628871:0.631394:0.623659:0.631394:0.000000 :@0.633188:0.653165:0.636910:0.653165:0.636910:0.636030:0.633188:0.636030:0.000000 b) :@0.542745:0.676884:0.563126:0.676884:0.563126:0.659749:0.542745:0.659749:0.000000:0.000000:0.000000 El primero y último término del desarrollo de: :@0.571234:0.676884:0.907273:0.676884:0.907273:0.661215:0.571234:0.661215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.542745:0.706896:0.546467:0.706896:0.546467:0.689760:0.542745:0.689760:0.000000 −:@0.598663:0.702550:0.608780:0.702550:0.608780:0.686977:0.598663:0.686977:0.000000 a:@0.579498:0.701872:0.588767:0.701872:0.588767:0.685511:0.579498:0.685511:0.000000 b:@0.620334:0.701872:0.629603:0.701872:0.629603:0.685511:0.620334:0.685511:0.000000 (:@0.573417:0.701872:0.578300:0.701872:0.578300:0.686202:0.573417:0.686202:0.000000 2 ):@0.611525:0.701872:0.642547:0.701872:0.642547:0.686202:0.611525:0.686202:0.000000:0.000000:0.000000 3:@0.589343:0.694210:0.594555:0.694210:0.594555:0.685128:0.589343:0.685128:0.000000 5 6:@0.630182:0.694210:0.647953:0.694210:0.647953:0.685128:0.630182:0.685128:0.000000:0.000000:0.000000 c) :@0.542738:0.730625:0.560558:0.730625:0.560558:0.713489:0.542738:0.713489:0.000000:0.000000:0.000000 El segundo término del desarrollo de: :@0.571227:0.730625:0.857497:0.730625:0.857497:0.714955:0.571227:0.714955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.542738:0.761895:0.546461:0.761895:0.546461:0.744760:0.542738:0.744760:0.000000 −:@0.600757:0.756284:0.610874:0.756284:0.610874:0.740711:0.600757:0.740711:0.000000 y:@0.589405:0.755606:0.596887:0.755606:0.596887:0.739245:0.589405:0.739245:0.000000 (2:@0.573447:0.755606:0.588152:0.755606:0.588152:0.739937:0.573447:0.739937:0.000000:0.000000 3):@0.613656:0.755606:0.627643:0.755606:0.627643:0.739937:0.613656:0.739937:0.000000:0.000000 7:@0.627403:0.747945:0.632615:0.747945:0.632615:0.738864:0.627403:0.738864:0.000000 d) :@0.542738:0.785618:0.563230:0.785618:0.563230:0.768482:0.542738:0.768482:0.000000:0.000000:0.000000 El quinto término del desarrollo de: :@0.571227:0.785618:0.837024:0.785618:0.837024:0.769948:0.571227:0.769948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 +:@0.593820:0.811277:0.603936:0.811277:0.603936:0.795704:0.593820:0.795704:0.000000 a:@0.617333:0.810600:0.626602:0.810600:0.626602:0.794238:0.617333:0.794238:0.000000 (2 4):@0.576756:0.810600:0.632481:0.810600:0.632481:0.794930:0.576756:0.794930:0.000000:0.000000:0.000000:0.000000:0.000000 11:@0.631774:0.802938:0.642058:0.802938:0.642058:0.793857:0.631774:0.793857:0.000000:0.000000 e) :@0.542738:0.839353:0.561977:0.839353:0.561977:0.822217:0.542738:0.822217:0.000000:0.000000:0.000000 El cuarto término en el desarrollo de: :@0.571227:0.839353:0.844598:0.839353:0.844598:0.823683:0.571227:0.823683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 xy:@0.590129:0.860978:0.621806:0.860978:0.621806:0.844617:0.590129:0.844617:0.000000:0.000000 3:@0.580289:0.860978:0.589281:0.860978:0.589281:0.845309:0.580289:0.845309:0.000000 2:@0.623425:0.853317:0.628636:0.853317:0.628636:0.844236:0.623425:0.844236:0.000000 4:@0.637714:0.849863:0.642926:0.849863:0.642926:0.840781:0.637714:0.840781:0.000000 (:@0.573847:0.866373:0.579984:0.866373:0.579984:0.841768:0.573847:0.841768:0.000000 ):@0.630918:0.866373:0.637054:0.866373:0.637054:0.841768:0.630918:0.841768:0.000000 −:@0.600913:0.861656:0.611029:0.861656:0.611029:0.846083:0.600913:0.846083:0.000000 f) :@0.542737:0.894766:0.574948:0.894766:0.574948:0.877630:0.542737:0.877630:0.000000:0.000000:0.000000:0.000000 El último término en el desarrollo: :@0.574561:0.894766:0.825396:0.894766:0.825396:0.879096:0.574561:0.879096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.590548:0.916387:0.598011:0.916387:0.598011:0.900026:0.590548:0.900026:0.000000 2:@0.580287:0.916387:0.589280:0.916387:0.589280:0.900717:0.580287:0.900717:0.000000 1 :@0.619335:0.916387:0.654681:0.916387:0.654681:0.900717:0.619335:0.900717:0.000000:0.000000:0.000000:0.000000 3:@0.599656:0.908725:0.604868:0.908725:0.604868:0.899644:0.599656:0.899644:0.000000 50:@0.632165:0.905271:0.642450:0.905271:0.642450:0.896189:0.632165:0.896189:0.000000:0.000000 (:@0.573847:0.921781:0.579984:0.921781:0.579984:0.897176:0.573847:0.897176:0.000000 ):@0.625777:0.921781:0.631913:0.921781:0.631913:0.897176:0.625777:0.897176:0.000000 −:@0.608557:0.917065:0.618674:0.917065:0.618674:0.901492:0.608557:0.901492:0.000000 1:@0.269363:0.245032:0.275935:0.245032:0.275935:0.233415:0.269363:0.233415:0.000000 1:@0.278830:0.259317:0.285402:0.259317:0.285402:0.247700:0.278830:0.247700:0.000000 1:@0.288297:0.273602:0.294869:0.273602:0.294869:0.261985:0.288297:0.261985:0.000000 1:@0.297765:0.287887:0.304337:0.287887:0.304337:0.276269:0.297765:0.276269:0.000000 1:@0.307232:0.302171:0.313804:0.302171:0.313804:0.290554:0.307232:0.290554:0.000000 1:@0.316700:0.316388:0.323272:0.316388:0.323272:0.304771:0.316700:0.304771:0.000000 1:@0.326167:0.330750:0.332739:0.330750:0.332739:0.319133:0.326167:0.319133:0.000000 1:@0.335634:0.344890:0.342206:0.344890:0.342206:0.333273:0.335634:0.333273:0.000000 70 56 58 8:@0.266077:0.359184:0.332754:0.359184:0.332754:0.347567:0.266077:0.347567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 7 21 35 35 21 7:@0.203073:0.344900:0.323269:0.344900:0.323269:0.333282:0.203073:0.333282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 6 15:@0.212540:0.330682:0.260282:0.330682:0.260282:0.319065:0.212540:0.319065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5 10:@0.222302:0.316398:0.269762:0.316398:0.269762:0.304781:0.222302:0.304781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 4:@0.231475:0.302181:0.256982:0.302181:0.256982:0.290564:0.231475:0.290564:0.000000:0.000000:0.000000 1 3 3:@0.240942:0.287896:0.285384:0.287896:0.285384:0.276279:0.240942:0.276279:0.000000:0.000000:0.000000:0.000000:0.000000 1 2:@0.250410:0.273611:0.275916:0.273611:0.275916:0.261994:0.250410:0.261994:0.000000:0.000000:0.000000 1:@0.259877:0.259327:0.266449:0.259327:0.266449:0.247710:0.259877:0.247710:0.000000 4:@0.288279:0.302181:0.294851:0.302181:0.294851:0.290564:0.288279:0.290564:0.000000 6:@0.269344:0.302181:0.275916:0.302181:0.275916:0.290564:0.269344:0.290564:0.000000 1 8 28 56:@0.193608:0.359184:0.260277:0.359184:0.260277:0.347567:0.193608:0.347567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.345117:0.359184:0.351689:0.359184:0.351689:0.347567:0.345117:0.347567:0.000000 6:@0.307248:0.330760:0.313819:0.330760:0.313819:0.319143:0.307248:0.319143:0.000000 5:@0.297780:0.316398:0.304352:0.316398:0.304352:0.304781:0.297780:0.304781:0.000000 10:@0.275553:0.316398:0.288697:0.316398:0.288697:0.304781:0.275553:0.304781:0.000000:0.000000 20 15:@0.266086:0.330760:0.298164:0.330760:0.298164:0.319143:0.266086:0.319143:0.000000:0.000000:0.000000:0.000000:0.000000 Unos:@0.288876:0.224781:0.316524:0.224781:0.316524:0.213164:0.288876:0.213164:0.000000:0.000000:0.000000:0.000000 Números naturales:@0.303543:0.240390:0.404891:0.240390:0.404891:0.228773:0.303543:0.228773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Números triangulares:@0.311411:0.253273:0.427218:0.253273:0.427218:0.241656:0.311411:0.241656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Números tetraédricos:@0.321786:0.268315:0.437630:0.268315:0.437630:0.256698:0.321786:0.256698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 10:@0.277338:0.622475:0.295853:0.622475:0.295853:0.606196:0.277338:0.606196:0.000000:0.000000 1:@0.175370:0.622475:0.184627:0.622475:0.184627:0.606196:0.175370:0.606196:0.000000 4:@0.219580:0.622475:0.228837:0.622475:0.228837:0.606196:0.219580:0.606196:0.000000 20:@0.380576:0.622475:0.399090:0.622475:0.399090:0.606196:0.380576:0.606196:0.000000:0.000000 1 :@0.163836:0.480074:0.180900:0.480074:0.180900:0.464404:0.163836:0.464404:0.000000:0.000000:0.000000 3 :@0.224150:0.480074:0.237178:0.480074:0.237178:0.464404:0.224150:0.464404:0.000000:0.000000 6 :@0.284463:0.480074:0.309599:0.480074:0.309599:0.464404:0.284463:0.464404:0.000000:0.000000:0.000000:0.000000:0.000000 10:@0.344777:0.480074:0.419261:0.480074:0.419261:0.464404:0.344777:0.464404:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.664743:0.348520:0.670465:0.348520:0.670465:0.338548:0.664743:0.338548:0.000000 9:@0.664743:0.392086:0.670465:0.392086:0.670465:0.382114:0.664743:0.382114:0.000000 3:@0.664743:0.434032:0.670465:0.434032:0.670465:0.424060:0.664743:0.424060:0.000000 12:@0.663031:0.470433:0.674476:0.470433:0.674476:0.460461:0.663031:0.460461:0.000000:0.000000 n:@0.659677:0.512740:0.665728:0.512740:0.665728:0.502328:0.659677:0.502328:0.000000 + 1:@0.665728:0.512740:0.683576:0.512740:0.683576:0.502768:0.665728:0.502768:0.000000:0.000000:0.000000:0.000000 −12:@0.668308:0.861633:0.686742:0.861633:0.686742:0.851662:0.668308:0.851662:0.000000:0.000000:0.000000 xy:@0.686742:0.861633:0.696381:0.861633:0.696381:0.851222:0.686742:0.851222:0.000000:0.000000 6:@0.696971:0.857781:0.700307:0.857781:0.700307:0.851968:0.696971:0.851968:0.000000 T:@0.661923:0.811915:0.667095:0.811915:0.667095:0.801503:0.661923:0.801503:0.000000 5:@0.667095:0.813928:0.670431:0.813928:0.670431:0.808114:0.667095:0.808114:0.000000 = 30 277 632:@0.670432:0.811915:0.733474:0.811915:0.733474:0.801943:0.670432:0.801943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 −1:@0.668309:0.918206:0.681021:0.918206:0.681021:0.908234:0.668309:0.908234:0.000000:0.000000 21:@0.663032:0.555943:0.674477:0.555943:0.674477:0.545972:0.663032:0.545972:0.000000:0.000000 1 12 66 220 495 792 924 792 495 220 66 12 1:@0.612654:0.255755:0.849123:0.255755:0.849123:0.245783:0.612654:0.245783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 11 55 165 330 462 462 330 165 55 11 1:@0.616008:0.213325:0.827604:0.213325:0.827604:0.203353:0.616008:0.203353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 9 26 84 126 126 84 26 9 1:@0.616008:0.174310:0.788355:0.174310:0.788355:0.164338:0.616008:0.164338:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 =:@0.672903:0.647972:0.679732:0.647972:0.679732:0.637460:0.672903:0.637460:0.000000 = −:@0.714597:0.647972:0.730722:0.647972:0.730722:0.637460:0.714597:0.637460:0.000000:0.000000:0.000000 T:@0.662655:0.647514:0.668141:0.647514:0.668141:0.636470:0.662655:0.636470:0.000000 x T:@0.682943:0.647514:0.705208:0.647514:0.705208:0.636470:0.682943:0.636470:0.000000:0.000000:0.000000 a:@0.731354:0.647514:0.737611:0.647514:0.737611:0.636470:0.731354:0.636470:0.000000 1:@0.667178:0.648868:0.670696:0.648868:0.670696:0.642738:0.667178:0.642738:0.000000 9:@0.689087:0.642344:0.692605:0.642344:0.692605:0.636214:0.689087:0.636214:0.000000 10:@0.704246:0.648868:0.711189:0.648868:0.711189:0.642738:0.704246:0.642738:0.000000:0.000000 9:@0.737994:0.642344:0.741512:0.642344:0.741512:0.636214:0.737994:0.636214:0.000000 =:@0.674600:0.700935:0.640120:0.700935:0.640120:0.690424:0.674600:0.690424:0.000000 =:@0.715908:0.700935:0.681429:0.700935:0.681429:0.690424:0.715908:0.690424:0.000000 T:@0.664350:0.700478:0.669836:0.700478:0.669836:0.689434:0.664350:0.689434:0.000000 a:@0.683891:0.700478:0.690148:0.700478:0.690148:0.689434:0.683891:0.689434:0.000000 T:@0.704142:0.700478:0.709627:0.700478:0.709627:0.689434:0.704142:0.689434:0.000000 b:@0.737577:0.700478:0.743833:0.700478:0.743833:0.689434:0.737577:0.689434:0.000000 64:@0.725202:0.700478:0.737205:0.700478:0.737205:0.689901:0.725202:0.689901:0.000000:0.000000 1:@0.668874:0.701830:0.672392:0.701830:0.672392:0.695700:0.668874:0.695700:0.000000 18:@0.690077:0.695306:0.697019:0.695306:0.697019:0.689176:0.690077:0.689176:0.000000:0.000000 7:@0.708982:0.701830:0.712500:0.701830:0.712500:0.695700:0.708982:0.695700:0.000000 30:@0.744213:0.695306:0.751155:0.695306:0.751155:0.689176:0.744213:0.689176:0.000000:0.000000 =−:@0.676850:0.755206:0.693256:0.755206:0.693256:0.744694:0.676850:0.744694:0.000000:0.000000 T:@0.664694:0.754748:0.670179:0.754748:0.670179:0.743704:0.664694:0.743704:0.000000 y:@0.720108:0.754748:0.725158:0.754748:0.725158:0.743704:0.720108:0.743704:0.000000 1344:@0.693140:0.754748:0.718738:0.754748:0.718738:0.744171:0.693140:0.744171:0.000000:0.000000:0.000000:0.000000 2:@0.669676:0.756100:0.673194:0.756100:0.673194:0.749970:0.669676:0.749970:0.000000 6:@0.726394:0.749575:0.729912:0.749575:0.729912:0.743446:0.726394:0.743446:0.000000 15 :@0.180588:0.762063:0.212579:0.762063:0.212579:0.752091:0.180588:0.752091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.240897:0.762063:0.243466:0.762063:0.243466:0.752091:0.240897:0.752091:0.000000 21:@0.301209:0.762063:0.369153:0.762063:0.369153:0.752091:0.301209:0.752091:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 35:@0.365026:0.925130:0.376471:0.925130:0.376471:0.915158:0.365026:0.915158:0.000000:0.000000