﻿165:@0.937671:0.974518:0.968375:0.974518:0.968375:0.956333:0.937671:0.956333:0.000000:0.000000:0.000000
Pensamiento numérico y variacional:@0.603717:0.043661:0.926913:0.043661:0.926913:0.024916:0.603717:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6. Se define la sucesión ( ) como a  = 2,   = 5,   = 8,:@0.073089:0.136836:0.485780:0.136836:0.485780:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.268953:0.136836:0.278562:0.136836:0.278562:0.120153:0.268953:0.120153:0.000000
n:@0.278501:0.140009:0.284231:0.140009:0.284231:0.130282:0.278501:0.130282:0.000000
1:@0.348957:0.140009:0.354462:0.140009:0.354462:0.130290:0.348957:0.130290:0.000000
a:@0.389557:0.136836:0.399165:0.136836:0.399165:0.120153:0.389557:0.120153:0.000000
2:@0.399102:0.140009:0.404382:0.140009:0.404382:0.130282:0.399102:0.130282:0.000000
a:@0.439481:0.136836:0.449089:0.136836:0.449089:0.120153:0.439481:0.120153:0.000000
3:@0.449026:0.140009:0.454306:0.140009:0.454306:0.130282:0.449026:0.130282:0.000000
a:@0.103204:0.153478:0.112812:0.153478:0.112812:0.136795:0.103204:0.136795:0.000000
4:@0.112751:0.156650:0.118031:0.156650:0.118031:0.146924:0.112751:0.146924:0.000000
 = 11,  y así sucesivamente. Prueba que :@0.117992:0.153478:0.415779:0.153478:0.415779:0.136808:0.117992:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.415748:0.153478:0.425356:0.153478:0.425356:0.136795:0.415748:0.136795:0.000000
n+1:@0.425295:0.156650:0.442616:0.156650:0.442616:0.146924:0.425295:0.146924:0.000000:0.000000:0.000000
 = 3 +:@0.442585:0.153478:0.485777:0.153478:0.485777:0.136808:0.442585:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.103210:0.170120:0.112819:0.170120:0.112819:0.153436:0.103210:0.153436:0.000000
n:@0.112751:0.173292:0.118482:0.173292:0.118482:0.163566:0.112751:0.163566:0.000000
, n   :@0.118443:0.170120:0.158501:0.170120:0.158501:0.153450:0.118443:0.153450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.139961:0.170518:0.154598:0.170518:0.154598:0.153667:0.139961:0.153667:0.000000
ℤ:@0.158519:0.170702:0.170797:0.170702:0.170797:0.153048:0.158519:0.153048:0.000000
+:@0.170792:0.161535:0.177188:0.161535:0.177188:0.151816:0.170792:0.151816:0.000000
.:@0.177142:0.170120:0.180953:0.170120:0.180953:0.153450:0.177142:0.153450:0.000000
7. La sucesión ( ) está definida de la siguiente:@0.073089:0.211779:0.485886:0.211779:0.485886:0.195109:0.073089:0.195109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.214394:0.211779:0.224003:0.211779:0.224003:0.195095:0.214394:0.195095:0.000000
k:@0.224489:0.214951:0.229382:0.214951:0.229382:0.205225:0.224489:0.205225:0.000000
manera::@0.103209:0.228421:0.165035:0.228421:0.165035:0.211751:0.103209:0.211751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8. La sucesión ( ) está definida de la siguiente:@0.073815:0.375386:0.485672:0.375386:0.485672:0.358716:0.073815:0.358716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.214918:0.375386:0.224527:0.375386:0.224527:0.358702:0.214918:0.358702:0.000000
k:@0.224998:0.378558:0.229891:0.378558:0.229891:0.368831:0.224998:0.368831:0.000000
manera::@0.103933:0.392027:0.165759:0.392027:0.165759:0.375358:0.103933:0.375358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9. La sucesión ( ) está definida de la siguiente:@0.073089:0.504935:0.485888:0.504935:0.485888:0.488265:0.073089:0.488265:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.214394:0.504935:0.224003:0.504935:0.224003:0.488251:0.214394:0.488251:0.000000
k:@0.224489:0.508107:0.229382:0.508107:0.229382:0.498381:0.224489:0.498381:0.000000
manera::@0.103209:0.521577:0.165035:0.521577:0.165035:0.504907:0.103209:0.504907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10. La sucesión ( ) está definida de la siguiente:@0.073089:0.738122:0.485602:0.738122:0.485602:0.721453:0.073089:0.721453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.214633:0.738122:0.223892:0.738122:0.223892:0.721716:0.214633:0.721716:0.000000
k:@0.224387:0.741294:0.228797:0.741294:0.228797:0.731730:0.224387:0.731730:0.000000
manera::@0.103215:0.754764:0.165042:0.754764:0.165042:0.738094:0.103215:0.738094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.104633:0.274426:0.116119:0.274426:0.116119:0.257993:0.104633:0.257993:0.000000:0.000000
Determina el dominio de la sucesión.:@0.134834:0.274426:0.404165:0.274426:0.404165:0.257993:0.134834:0.257993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. Calcula los tres primeros términos.:@0.104633:0.305363:0.382564:0.305363:0.382564:0.288929:0.104633:0.288929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.:@0.104633:0.336300:0.115769:0.336300:0.115769:0.319866:0.104633:0.319866:0.000000:0.000000
Indica el recorrido de la sucesión.:@0.134834:0.336300:0.375224:0.336300:0.375224:0.319866:0.134834:0.319866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.104633:0.429885:0.116119:0.429885:0.116119:0.413451:0.104633:0.413451:0.000000:0.000000
Calcula los términos 1, 2 y 6.:@0.134834:0.429885:0.337312:0.429885:0.337312:0.413451:0.134834:0.413451:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. Indica el recorrido de la sucesión.:@0.104633:0.460822:0.375224:0.460822:0.375224:0.444389:0.104633:0.444389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.104633:0.602021:0.116119:0.602021:0.116119:0.585587:0.104633:0.585587:0.000000:0.000000
Calcula los términos 1, 4 y 8.:@0.134834:0.602021:0.337312:0.602021:0.337312:0.585587:0.134834:0.585587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. Calcula los términos 2, 3 y 5.:@0.104633:0.643680:0.337312:0.643680:0.337312:0.627246:0.104633:0.627246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.:@0.104633:0.685337:0.115769:0.685337:0.115769:0.668903:0.104633:0.668903:0.000000:0.000000
Determina el dominio de la sucesión.:@0.134834:0.685337:0.404165:0.685337:0.404165:0.668903:0.134834:0.668903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a.:@0.104633:0.829849:0.116119:0.829849:0.116119:0.813415:0.104633:0.813415:0.000000:0.000000
Calcula los términos 1, 3 y 10.:@0.134834:0.829849:0.346221:0.829849:0.346221:0.813415:0.134834:0.813415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b. Indica el recorrido de la sucesión.:@0.104633:0.864359:0.375224:0.864359:0.375224:0.847925:0.104633:0.847925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajo colaborativo:@0.530451:0.139215:0.685911:0.139215:0.685911:0.122546:0.530451:0.122546:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Trabajen en equipo, indaguen y resuelvan.:@0.530570:0.159470:0.850959:0.159470:0.850959:0.142801:0.530570:0.142801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los cinco primeros términos de una sucesión ( ) se :@0.528453:0.179718:0.918153:0.179722:0.918153:0.163052:0.528453:0.163048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.873976:0.179718:0.883658:0.179718:0.883658:0.163035:0.873976:0.163035:0.000000
n:@0.883586:0.182894:0.889316:0.182894:0.889316:0.173168:0.883586:0.173168:0.000000
precisan a continuación::@0.528453:0.196364:0.712584:0.196364:0.712584:0.179694:0.528453:0.179694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.558567:0.238454:0.567881:0.238454:0.567881:0.222047:0.558567:0.222047:0.000000
1:@0.567829:0.241622:0.573066:0.241622:0.573066:0.232041:0.567829:0.232041:0.000000
 =  – 1,   =   –   ,   =   –   ,:@0.573020:0.238450:0.814246:0.238456:0.814246:0.222022:0.573020:0.222016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.594435:0.231874:0.603417:0.231874:0.603417:0.215440:0.594435:0.215440:0.000000
2:@0.594435:0.248266:0.603417:0.248266:0.603417:0.231832:0.594435:0.231832:0.000000
u:@0.638962:0.238447:0.648276:0.238447:0.648276:0.222041:0.638962:0.222041:0.000000
2:@0.648207:0.241622:0.653444:0.241622:0.653444:0.232041:0.648207:0.232041:0.000000
1:@0.674812:0.230981:0.683795:0.230981:0.683795:0.214547:0.674812:0.214547:0.000000
3:@0.674812:0.247373:0.683795:0.247373:0.683795:0.230939:0.674812:0.230939:0.000000
1:@0.705986:0.231874:0.714969:0.231874:0.714969:0.215440:0.705986:0.215440:0.000000
2:@0.705986:0.248266:0.714969:0.248266:0.714969:0.231832:0.705986:0.231832:0.000000
u:@0.728535:0.238447:0.737849:0.238447:0.737849:0.222041:0.728535:0.222041:0.000000
3:@0.737784:0.241622:0.743021:0.241622:0.743021:0.232041:0.737784:0.232041:0.000000
1:@0.764389:0.230981:0.773372:0.230981:0.773372:0.214547:0.764389:0.214547:0.000000
4:@0.764389:0.247373:0.773372:0.247373:0.773372:0.230939:0.764389:0.230939:0.000000
1:@0.795562:0.230981:0.804545:0.230981:0.804545:0.214547:0.795562:0.214547:0.000000
3:@0.795562:0.247373:0.804545:0.247373:0.804545:0.230939:0.795562:0.230939:0.000000
u:@0.558587:0.277869:0.567901:0.277869:0.567901:0.261463:0.558587:0.261463:0.000000
4:@0.567829:0.281029:0.573066:0.281029:0.573066:0.271448:0.567829:0.271448:0.000000
 =  –   ,   =   –   .:@0.573020:0.277857:0.733866:0.277862:0.733866:0.261428:0.573020:0.261423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.594435:0.269494:0.603417:0.269494:0.603417:0.253061:0.594435:0.253061:0.000000
5:@0.594435:0.285887:0.603417:0.285887:0.603417:0.269453:0.594435:0.269453:0.000000
1:@0.625608:0.270387:0.634591:0.270387:0.634591:0.253953:0.625608:0.253953:0.000000
3:@0.625608:0.286779:0.634591:0.286779:0.634591:0.270345:0.625608:0.270345:0.000000
u:@0.648157:0.277862:0.657471:0.277862:0.657471:0.261456:0.648157:0.261456:0.000000
5:@0.657404:0.281029:0.662641:0.281029:0.662641:0.271448:0.657404:0.271448:0.000000
1:@0.684009:0.270387:0.692992:0.270387:0.692992:0.253953:0.684009:0.253953:0.000000
6:@0.684009:0.286779:0.692992:0.286779:0.692992:0.270345:0.684009:0.270345:0.000000
1:@0.715183:0.270387:0.724166:0.270387:0.724166:0.253953:0.715183:0.253953:0.000000
4:@0.715183:0.286779:0.724166:0.286779:0.724166:0.270345:0.715183:0.270345:0.000000
Prueben que el término general de la sucesión :@0.558335:0.315944:0.918401:0.315944:0.918401:0.299274:0.558335:0.299274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(u ) está definido como :@0.558335:0.332586:0.738376:0.332583:0.738376:0.315914:0.558335:0.315916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.573559:0.335756:0.579515:0.335756:0.579515:0.326037:0.573559:0.326037:0.000000
u:@0.558577:0.363953:0.567891:0.363953:0.567891:0.347547:0.558577:0.347547:0.000000
n:@0.567829:0.367121:0.573367:0.367121:0.573367:0.357556:0.567829:0.357556:0.000000
= :@0.577286:0.363948:0.592214:0.363948:0.592214:0.347514:0.577286:0.347514:0.000000:0.000000
1:@0.606602:0.356479:0.615585:0.356479:0.615585:0.340046:0.606602:0.340046:0.000000
n :@0.592833:0.372872:0.605571:0.372872:0.605571:0.356466:0.592833:0.356466:0.000000:0.000000
+ 1:@0.605516:0.372872:0.629353:0.372872:0.629353:0.356438:0.605516:0.356438:0.000000:0.000000:0.000000
–:@0.633937:0.363954:0.643140:0.363954:0.643140:0.347521:0.633937:0.347521:0.000000
1:@0.649635:0.356479:0.658617:0.356479:0.658617:0.340046:0.649635:0.340046:0.000000
n:@0.649377:0.372872:0.658875:0.372872:0.658875:0.356466:0.649377:0.356466:0.000000
=:@0.665115:0.363954:0.676086:0.363954:0.676086:0.347521:0.665115:0.347521:0.000000
1:@0.708663:0.356479:0.717646:0.356479:0.717646:0.340046:0.708663:0.340046:0.000000
n n :@0.685397:0.372872:0.712363:0.372872:0.712363:0.356466:0.685397:0.356466:0.000000:0.000000:0.000000:0.000000
( + 1):@0.694821:0.372872:0.740950:0.372872:0.740950:0.356438:0.694821:0.356438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ,       :@0.746288:0.363954:0.797252:0.363948:0.797252:0.347514:0.746288:0.347521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.765210:0.363954:0.774709:0.363954:0.774709:0.347548:0.765210:0.347548:0.000000
∈:@0.778584:0.364346:0.793220:0.364346:0.793220:0.347495:0.778584:0.347495:0.000000
ℤ:@0.797271:0.364531:0.809549:0.364531:0.809549:0.346876:0.797271:0.346876:0.000000
+:@0.809542:0.355363:0.815938:0.355363:0.815938:0.345782:0.809542:0.345782:0.000000
.:@0.815891:0.363948:0.819094:0.363948:0.819094:0.347514:0.815891:0.347514:0.000000
En cada ítem se define el término general   de una :@0.530044:0.420350:0.916585:0.420355:0.916585:0.403686:0.530044:0.403680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.842990:0.420350:0.852598:0.420350:0.852598:0.403667:0.842990:0.403667:0.000000
k:@0.852521:0.423527:0.857415:0.423527:0.857415:0.413801:0.852521:0.413801:0.000000
sucesión real. Calculen los primeros cinco términos. :@0.530033:0.436997:0.916603:0.436997:0.916603:0.420327:0.530033:0.420327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, demuestren que ( ) es :@0.530033:0.453639:0.916598:0.453639:0.916598:0.436969:0.530033:0.436969:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.859780:0.453639:0.869389:0.453639:0.869389:0.436955:0.859780:0.436955:0.000000
k:@0.870528:0.456811:0.875422:0.456811:0.875422:0.447085:0.870528:0.447085:0.000000
estrictamente creciente en el subconjunto   de  .:@0.530046:0.470281:0.904172:0.470281:0.904172:0.453611:0.530046:0.453611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.852631:0.470863:0.858359:0.470863:0.861236:0.453209:0.855508:0.453209:0.000000
ℕ:@0.886041:0.470863:0.900362:0.470863:0.900362:0.453209:0.886041:0.453209:0.000000
En cada ítem se define el término general de una :@0.529842:0.651510:0.916632:0.651510:0.916632:0.634841:0.529842:0.634841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión real. Calculen los primeros cinco términos. :@0.529842:0.668152:0.916449:0.668152:0.916449:0.651482:0.529842:0.651482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, demuestren que ( ) es estrictamente :@0.529842:0.684794:0.916546:0.684799:0.916546:0.668129:0.529842:0.668124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.744691:0.684794:0.754300:0.684794:0.754300:0.668110:0.744691:0.668110:0.000000
k:@0.754807:0.687971:0.759700:0.687971:0.759700:0.678245:0.754807:0.678245:0.000000
decreciente en el subconjunto   de  .:@0.529852:0.701441:0.814239:0.701441:0.814239:0.684771:0.529852:0.684771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ι:@0.762698:0.702023:0.768426:0.702023:0.771303:0.684369:0.765575:0.684369:0.000000
ℕ:@0.796108:0.702023:0.810429:0.702023:0.810429:0.684369:0.796108:0.684369:0.000000
a.:@0.566330:0.512783:0.577816:0.512783:0.577816:0.496349:0.566330:0.496349:0.000000:0.000000
a:@0.596531:0.512783:0.605790:0.512783:0.605790:0.496377:0.596531:0.496377:0.000000
k:@0.605723:0.515955:0.610134:0.515955:0.610134:0.506390:0.605723:0.506390:0.000000
 =   1 +   ,        .:@0.610096:0.512783:0.738565:0.512783:0.738565:0.496349:0.610096:0.496349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.664489:0.512783:0.672055:0.512783:0.672055:0.496377:0.664489:0.496377:0.000000
k:@0.690904:0.512783:0.698469:0.512783:0.698469:0.496377:0.690904:0.496377:0.000000
∈:@0.702355:0.513181:0.716991:0.513181:0.716991:0.496329:0.702355:0.496329:0.000000
ℕ:@0.721041:0.513365:0.735362:0.513365:0.735362:0.495711:0.721041:0.495711:0.000000
b.:@0.566330:0.558331:0.579289:0.558331:0.579289:0.541897:0.566330:0.541897:0.000000:0.000000
a:@0.596531:0.558331:0.605790:0.558331:0.605790:0.541925:0.596531:0.541925:0.000000
k:@0.605723:0.561503:0.610134:0.561503:0.610134:0.551939:0.605723:0.551939:0.000000
 = 25 + 2 ,   :@0.610096:0.558331:0.696960:0.558331:0.696960:0.541897:0.610096:0.541897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k k:@0.674392:0.558331:0.704415:0.558331:0.704415:0.541925:0.674392:0.541925:0.000000:0.000000:0.000000
∈:@0.704356:0.558729:0.718992:0.558729:0.718992:0.541878:0.704356:0.541878:0.000000
  .:@0.718993:0.558331:0.740566:0.558331:0.740566:0.541897:0.718993:0.541897:0.000000:0.000000:0.000000
ℕ:@0.723043:0.558913:0.737364:0.558913:0.737364:0.541259:0.723043:0.541259:0.000000
c.:@0.566330:0.608282:0.577467:0.608282:0.577467:0.591848:0.566330:0.591848:0.000000:0.000000
a:@0.596531:0.608282:0.605790:0.608282:0.605790:0.591876:0.596531:0.591876:0.000000
k:@0.605723:0.611454:0.610134:0.611454:0.610134:0.601889:0.605723:0.601889:0.000000
 = 2 –   ,        .:@0.610096:0.608282:0.735546:0.608282:0.735546:0.591848:0.610096:0.591848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.657438:0.600813:0.666420:0.600813:0.666420:0.584379:0.657438:0.584379:0.000000
k:@0.655560:0.617205:0.663126:0.617205:0.663126:0.600799:0.655560:0.600799:0.000000
2:@0.663060:0.611139:0.668297:0.611139:0.668297:0.601558:0.663060:0.601558:0.000000
k:@0.687885:0.608282:0.695450:0.608282:0.695450:0.591876:0.687885:0.591876:0.000000
∈:@0.699338:0.608680:0.713974:0.608680:0.713974:0.591828:0.699338:0.591828:0.000000
ℕ:@0.718023:0.608864:0.732343:0.608864:0.732343:0.591210:0.718023:0.591210:0.000000
a.:@0.562773:0.759982:0.574259:0.759982:0.574259:0.743548:0.562773:0.743548:0.000000:0.000000
a:@0.592974:0.759982:0.602233:0.759982:0.602233:0.743576:0.592974:0.743576:0.000000
k:@0.602166:0.763154:0.606576:0.763154:0.606576:0.753590:0.602166:0.753590:0.000000
 = :@0.606538:0.759982:0.625424:0.759982:0.625424:0.743548:0.606538:0.743548:0.000000:0.000000:0.000000
1:@0.630325:0.752513:0.639308:0.752513:0.639308:0.736080:0.630325:0.736080:0.000000
5:@0.626589:0.768906:0.635572:0.768906:0.635572:0.752472:0.626589:0.752472:0.000000
k:@0.635498:0.768906:0.643063:0.768906:0.643063:0.752500:0.635498:0.752500:0.000000
 ,       :@0.644241:0.759988:0.693265:0.759982:0.693265:0.743548:0.644241:0.743555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.663164:0.759988:0.670729:0.759988:0.670729:0.743582:0.663164:0.743582:0.000000
∈:@0.674597:0.760381:0.689233:0.760381:0.689233:0.743529:0.674597:0.743529:0.000000
ℤ:@0.693283:0.760565:0.705561:0.760565:0.705561:0.742910:0.693283:0.742910:0.000000
+:@0.705553:0.751397:0.711948:0.751397:0.711948:0.741816:0.705553:0.741816:0.000000
.:@0.711901:0.759982:0.715104:0.759982:0.715104:0.743548:0.711901:0.743548:0.000000
c.:@0.562773:0.847577:0.573909:0.847577:0.573909:0.831144:0.562773:0.831144:0.000000:0.000000
a:@0.592974:0.847577:0.602233:0.847577:0.602233:0.831171:0.592974:0.831171:0.000000
k:@0.602166:0.850750:0.606576:0.850750:0.606576:0.841185:0.602166:0.841185:0.000000
 = –:@0.606538:0.847577:0.634554:0.847577:0.634554:0.831144:0.606538:0.831144:0.000000:0.000000:0.000000:0.000000
1:@0.637076:0.840108:0.646059:0.840108:0.646059:0.823674:0.637076:0.823674:0.000000
3:@0.637076:0.856500:0.646059:0.856500:0.646059:0.840066:0.637076:0.840066:0.000000
k:@0.648599:0.847582:0.656164:0.847582:0.656164:0.831176:0.648599:0.831176:0.000000
 – 2,        .:@0.656091:0.847582:0.744661:0.847577:0.744661:0.831144:0.656091:0.831149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k:@0.696992:0.847582:0.704557:0.847582:0.704557:0.831176:0.696992:0.831176:0.000000
∈:@0.708451:0.847976:0.723087:0.847976:0.723087:0.831124:0.708451:0.831124:0.000000
ℕ:@0.727138:0.848160:0.741458:0.848160:0.741458:0.830506:0.727138:0.830506:0.000000
b.:@0.562773:0.806439:0.575731:0.806439:0.575731:0.790006:0.562773:0.790006:0.000000:0.000000
a:@0.592974:0.806439:0.602233:0.806439:0.602233:0.790033:0.592974:0.790033:0.000000
k:@0.602166:0.809612:0.606576:0.809612:0.606576:0.800047:0.602166:0.800047:0.000000
 = –2 ,        .:@0.606538:0.806439:0.713486:0.806439:0.713486:0.790006:0.606538:0.790006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k k:@0.643353:0.806439:0.673375:0.806439:0.673375:0.790033:0.643353:0.790033:0.000000:0.000000:0.000000
∈:@0.677277:0.806838:0.691914:0.806838:0.691914:0.789986:0.677277:0.789986:0.000000
ℕ:@0.695962:0.807022:0.710283:0.807022:0.710283:0.789368:0.695962:0.789368:0.000000
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