175:@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. El término a de una progresión geométrica es 5 y el :@0.073089:0.136836:0.489695:0.136836:0.489695:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 tercer término es 1,25.:@0.103214:0.153478:0.271433:0.153478:0.271433:0.136808:0.103214:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 7. El primer término de una progresión geométrica es :@0.073089:0.349475:0.489413:0.349475:0.489413:0.332805:0.073089:0.332805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 y el tercer término es 1,25.:@0.103214:0.366117:0.314309:0.366117:0.314309:0.349447:0.103214:0.349447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8. El cuarto término de una progresión geométrica es :@0.073089:0.544246:0.489371:0.544246:0.489371:0.527576:0.073089:0.527576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 4 y el primer término :@0.103214:0.570970:0.265590:0.570970:0.265590:0.554300:0.103214:0.554300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.270288:0.560730:0.279271:0.560730:0.279271:0.544296:0.270288:0.544296:0.000000 2:@0.269503:0.580231:0.278486:0.580231:0.278486:0.563798:0.269503:0.563798:0.000000 .:@0.280486:0.569713:0.283688:0.569713:0.283688:0.553279:0.280486:0.553279:0.000000 9. El primer término de una progresión geométrica es :@0.073089:0.762245:0.489413:0.762245:0.489413:0.745576:0.073089:0.745576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2700 y el tercer término es 300.:@0.103214:0.778887:0.338674:0.778887:0.338674:0.762217:0.103214:0.762217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Halla la razón .:@0.104633:0.197182:0.242535:0.197182:0.242535:0.180748:0.104633:0.180748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.230865:0.197182:0.239387:0.197182:0.239387:0.180776:0.230865:0.180776:0.000000:0.000000 a. Encuentra la razón .:@0.104633:0.407872:0.280785:0.407872:0.280785:0.391439:0.104633:0.391439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.269115:0.407872:0.277637:0.407872:0.277637:0.391466:0.269115:0.391466:0.000000:0.000000 a. Determina la razón .:@0.104633:0.614280:0.284945:0.614280:0.284945:0.597847:0.104633:0.597847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.276533:0.614280:0.281816:0.614280:0.281816:0.597874:0.276533:0.597874:0.000000 a. Halla la razón r.:@0.104633:0.824025:0.242631:0.824025:0.242631:0.807592:0.104633:0.807592:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Indaga el cuarto término.:@0.104633:0.863047:0.317854:0.863047:0.317854:0.846613:0.104633:0.846613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Halla la suma de los cuatro primeros :@0.104633:0.899835:0.400690:0.899835:0.400690:0.883401:0.104633:0.883401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 términos.:@0.134760:0.916477:0.202661:0.916477:0.202661:0.900043:0.134760:0.900043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Halla el décimo término.:@0.104633:0.650546:0.311540:0.650546:0.311540:0.634112:0.104633:0.634112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Indaga la suma de los tres primeros :@0.104633:0.685859:0.399107:0.685859:0.399107:0.669425:0.104633:0.669425:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 términos.:@0.134760:0.702501:0.202661:0.702501:0.202661:0.686067:0.134760:0.686067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Calcula el segundo término.:@0.104633:0.443659:0.337507:0.443659:0.337507:0.427225:0.104633:0.427225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Halla la suma de los tres primeros términos.:@0.104633:0.478962:0.448470:0.478962:0.448470:0.462528:0.104633:0.462528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. Calcula el octavo término.:@0.104633:0.236107:0.322430:0.236107:0.322430:0.219673:0.104633:0.219673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. Determina el primer término de la :@0.104633:0.272027:0.390308:0.272027:0.390308:0.255593:0.104633:0.255593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 progresión.:@0.134760:0.288669:0.216781:0.288669:0.216781:0.272235:0.134760:0.272235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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 Consideren las progresiones geométricas cuyos :@0.522136:0.190443:0.919821:0.190443:0.919821:0.173774:0.522136:0.173774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 términos generales son: :@0.522136:0.207085:0.706803:0.207085:0.706803:0.190415:0.522136:0.190415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.586727:0.242671:0.595986:0.242671:0.595986:0.226265:0.586727:0.226265:0.000000 n:@0.595919:0.245839:0.601456:0.245839:0.601456:0.236275:0.595919:0.236275:0.000000 = , = , = , :@0.601418:0.242667:0.789911:0.242667:0.789911:0.226233:0.601418:0.226233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.654928:0.242667:0.664186:0.242667:0.664186:0.226261:0.654928:0.226261:0.000000 n:@0.664130:0.245839:0.669667:0.245839:0.669667:0.236275:0.664130:0.236275:0.000000 c:@0.723138:0.242667:0.730796:0.242667:0.730796:0.226261:0.723138:0.226261:0.000000 n:@0.730737:0.245839:0.736274:0.245839:0.736274:0.236275:0.730737:0.236275:0.000000 ∀:@0.789746:0.243249:0.802023:0.243249:0.802023:0.225595:0.789746:0.225595:0.000000 n:@0.801931:0.242667:0.811429:0.242667:0.811429:0.226261:0.801931:0.226261:0.000000 .:@0.811356:0.242667:0.851259:0.242667:0.851259:0.226233:0.811356:0.226233:0.000000:0.000000:0.000000:0.000000:0.000000 ∈:@0.815322:0.243065:0.829958:0.243065:0.829958:0.226214:0.815322:0.226214:0.000000 ℕ:@0.833828:0.243249:0.848149:0.243249:0.848149:0.225595:0.833828:0.225595:0.000000 Se define = + + , :@0.552270:0.284327:0.744025:0.284326:0.744025:0.267892:0.552270:0.267893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V:@0.623488:0.284327:0.632600:0.284327:0.632600:0.267921:0.623488:0.267921:0.000000 n:@0.632523:0.287498:0.638060:0.287498:0.638060:0.277933:0.632523:0.277933:0.000000 a:@0.656815:0.284326:0.666074:0.284326:0.666074:0.267920:0.656815:0.267920:0.000000 n:@0.666004:0.287498:0.671541:0.287498:0.671541:0.277933:0.666004:0.277933:0.000000 b:@0.690296:0.284326:0.699555:0.284326:0.699555:0.267920:0.690296:0.267920:0.000000 n:@0.699487:0.287498:0.705024:0.287498:0.705024:0.277933:0.699487:0.277933:0.000000 c:@0.723779:0.284326:0.731436:0.284326:0.731436:0.267920:0.723779:0.267920:0.000000 n:@0.731366:0.287498:0.736904:0.287498:0.736904:0.277933:0.731366:0.277933:0.000000 ∀:@0.743933:0.284908:0.756211:0.284908:0.756211:0.267254:0.743933:0.267254:0.000000 n:@0.756119:0.284326:0.765617:0.284326:0.765617:0.267920:0.756119:0.267920:0.000000 :@0.765543:0.284326:0.788086:0.284326:0.788086:0.267892:0.765543:0.267892:0.000000:0.000000:0.000000 ∈:@0.769506:0.284724:0.784142:0.284724:0.784142:0.267872:0.769506:0.267872:0.000000 ℕ:@0.788012:0.284908:0.802333:0.284908:0.802333:0.267254:0.788012:0.267254:0.000000 Consideren la fracción periódica:@0.522138:0.490643:0.765220:0.490643:0.765220:0.473973:0.522138:0.473973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,213 213 213... Determinen un número:@0.552252:0.515509:0.839267:0.515509:0.839267:0.499075:0.552252:0.499075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racional = , con , :@0.552252:0.550013:0.739770:0.550011:0.739770:0.533578:0.552252:0.533579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.613327:0.550013:0.618610:0.550013:0.618610:0.533607:0.613327:0.533607:0.000000 a b:@0.691779:0.550013:0.717291:0.550013:0.717291:0.533607:0.691779:0.533607:0.000000:0.000000:0.000000 ∈:@0.721190:0.550410:0.735827:0.550410:0.735827:0.533558:0.721190:0.533558:0.000000 ℤ:@0.739696:0.550594:0.751974:0.550594:0.751974:0.532940:0.739696:0.532940:0.000000 +:@0.751875:0.541426:0.758271:0.541426:0.758271:0.531845:0.751875:0.531845:0.000000 ,:@0.758224:0.550011:0.761427:0.550011:0.761427:0.533578:0.758224:0.533578:0.000000 tal que = = 0,213213213...:@0.552265:0.591671:0.766655:0.591671:0.766655:0.575238:0.552265:0.575238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 r:@0.606309:0.591671:0.611592:0.591671:0.611592:0.575265:0.606309:0.575265:0.000000 En cada ítem se da una fracción periódica. Mediante :@0.522133:0.633595:0.921449:0.633595:0.921449:0.616925:0.522133:0.616925:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la aplicación de progresiones geométricas, prueben :@0.522133:0.650237:0.921112:0.650237:0.921112:0.633567:0.522133:0.633567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que el resultado es el indicado.:@0.522133:0.666879:0.755198:0.666879:0.755198:0.650209:0.522133:0.650209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Trabajen en equipo, indaguen y resuelvan.:@0.523716:0.161854:0.844105:0.161854:0.844105:0.145185:0.523716:0.145185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Obtengan los 5 primeros términos de la :@0.553681:0.328926:0.923165:0.328926:0.923165:0.312492:0.553681:0.312492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sucesión ( ).:@0.583809:0.345568:0.678603:0.345568:0.678603:0.329134:0.583809:0.329134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V:@0.656057:0.345568:0.665169:0.345568:0.665169:0.329162:0.656057:0.329162:0.000000 n:@0.665097:0.348740:0.670634:0.348740:0.670634:0.339175:0.665097:0.339175:0.000000 b. Calculen la suma de los 5 primeros términos :@0.553681:0.373715:0.908148:0.373715:0.908148:0.357281:0.553681:0.357281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de las progresiones geométricas :@0.583809:0.390357:0.822201:0.390357:0.822201:0.373923:0.583809:0.373923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( )., (b )., (c ).:@0.583809:0.406999:0.680008:0.406999:0.680008:0.390565:0.583809:0.390565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.588613:0.406999:0.597872:0.406999:0.597872:0.390593:0.588613:0.390593:0.000000 n:@0.597791:0.410171:0.603329:0.410171:0.603329:0.400606:0.597791:0.400606:0.000000 n:@0.633158:0.410171:0.638696:0.410171:0.638696:0.400606:0.633158:0.400606:0.000000 n:@0.666502:0.410171:0.672040:0.410171:0.672040:0.400606:0.666502:0.400606:0.000000 c. Calculen la suma de los 5 primeros términos de :@0.553681:0.437675:0.924404:0.437675:0.924404:0.421241:0.553681:0.421241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la sucesión ( ).:@0.583809:0.454317:0.694652:0.454317:0.694652:0.437883:0.583809:0.437883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 V:@0.672108:0.454317:0.681220:0.454317:0.681220:0.437911:0.672108:0.437911:0.000000 n:@0.681146:0.457489:0.686684:0.457489:0.686684:0.447925:0.681146:0.447925:0.000000 3:@0.693337:0.235568:0.702320:0.235568:0.702320:0.219134:0.693337:0.219134:0.000000 4:@0.693337:0.251960:0.702320:0.251960:0.702320:0.235526:0.693337:0.235526:0.000000 4:@0.758771:0.235568:0.767754:0.235568:0.767754:0.219134:0.758771:0.219134:0.000000 5:@0.758771:0.251960:0.767754:0.251960:0.767754:0.235526:0.758771:0.235526:0.000000 2:@0.625742:0.235568:0.634725:0.235568:0.634725:0.219134:0.625742:0.219134:0.000000 3:@0.625742:0.251960:0.634725:0.251960:0.634725:0.235526:0.625742:0.235526:0.000000 n:@0.642099:0.227080:0.648140:0.227080:0.648140:0.216646:0.642099:0.216646:0.000000 n:@0.709693:0.227080:0.715733:0.227080:0.715733:0.216646:0.709693:0.216646:0.000000 n:@0.775123:0.227080:0.781164:0.227080:0.781164:0.216646:0.775123:0.216646:0.000000 a:@0.637280:0.583378:0.646539:0.583378:0.646539:0.566972:0.637280:0.566972:0.000000 b:@0.637280:0.599770:0.646539:0.599770:0.646539:0.583364:0.637280:0.583364:0.000000 a:@0.639651:0.542637:0.648910:0.542637:0.648910:0.526231:0.639651:0.526231:0.000000 b:@0.639651:0.559029:0.648910:0.559029:0.648910:0.542623:0.639651:0.542623:0.000000 a. :@0.553681:0.716546:0.569125:0.716546:0.569125:0.700112:0.553681:0.700112:0.000000:0.000000:0.000000 u:@0.583882:0.716546:0.593196:0.716546:0.593196:0.700140:0.583882:0.700140:0.000000 = = 1,666 666...:@0.593123:0.716546:0.729447:0.716546:0.729447:0.700112:0.593123:0.700112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. :@0.553681:0.769858:0.570579:0.769858:0.570579:0.753424:0.553681:0.753424:0.000000:0.000000:0.000000 u:@0.583882:0.769858:0.593196:0.769858:0.593196:0.753451:0.583882:0.753451:0.000000 = = 0,142 857 142 857...:@0.593123:0.769858:0.790817:0.769858:0.790817:0.753424:0.593123:0.753424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. :@0.553681:0.821679:0.568757:0.821679:0.568757:0.805245:0.553681:0.805245:0.000000:0.000000:0.000000 u:@0.583882:0.821679:0.593196:0.821679:0.593196:0.805273:0.583882:0.805273:0.000000 = = 0,111 1...:@0.593123:0.821679:0.711629:0.821679:0.711629:0.805245:0.593123:0.805245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.616783:0.709531:0.625765:0.709531:0.625765:0.693097:0.616783:0.693097:0.000000 3:@0.616783:0.725923:0.625765:0.725923:0.625765:0.709489:0.616783:0.709489:0.000000 1:@0.618680:0.762960:0.627663:0.762960:0.627663:0.746526:0.618680:0.746526:0.000000 7:@0.618680:0.779352:0.627663:0.779352:0.627663:0.762918:0.618680:0.762918:0.000000 1:@0.617732:0.814958:0.626714:0.814958:0.626714:0.798524:0.617732:0.798524:0.000000 9:@0.617732:0.831350:0.626714:0.831350:0.626714:0.814917:0.617732:0.814917:0.000000 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