168:@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 1. En cada ítem se dan los tres primeros términos de :@0.073089:0.136836:0.489494:0.136836:0.489494:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 una progresión aritmética (:@0.103214:0.153478:0.322951:0.153478:0.322951:0.136808:0.103214:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.323254:0.153478:0.332513:0.153478:0.332513:0.137072:0.323254:0.137072:0.000000 m:@0.332744:0.156650:0.341264:0.156650:0.341264:0.147086:0.332744:0.147086:0.000000 ). Halla el término :@0.341402:0.153478:0.489658:0.153478:0.489658:0.136808:0.341402:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 general de dicha progresión, verifica su resultado :@0.103212:0.170120:0.489385:0.170120:0.489385:0.153450:0.103212:0.153450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 con el tercer término y calcula el término que se :@0.103212:0.186762:0.489686:0.186762:0.489686:0.170092:0.103212:0.170092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.414700:0.186762:0.423958:0.186762:0.423958:0.170356:0.414700:0.170356:0.000000 m:@0.423883:0.189934:0.432404:0.189934:0.432404:0.180369:0.423883:0.180369:0.000000 indica.:@0.103207:0.203404:0.152907:0.203404:0.152907:0.186734:0.103207:0.186734:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 1, 5, 9, ... , :@0.104633:0.248635:0.203327:0.248635:0.203327:0.232201:0.104633:0.232201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.203143:0.248635:0.212402:0.248635:0.212402:0.232229:0.203143:0.232229:0.000000 10:@0.212342:0.251808:0.222773:0.251808:0.222773:0.242227:0.212342:0.242227:0.000000:0.000000 =:@0.222722:0.248635:0.237650:0.248635:0.237650:0.232201:0.222722:0.232201:0.000000:0.000000 b. –20, –15, –10, ... , :@0.104633:0.293867:0.257445:0.293867:0.257445:0.277433:0.104633:0.277433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.257224:0.293867:0.266483:0.293867:0.266483:0.277461:0.257224:0.277461:0.000000 15:@0.266417:0.297039:0.276848:0.297039:0.276848:0.287458:0.266417:0.287458:0.000000:0.000000 =:@0.276797:0.293867:0.291726:0.293867:0.291726:0.277433:0.276797:0.277433:0.000000:0.000000 c. 1 – 2 , 1, 1 + 2 , ... , =:@0.104633:0.339100:0.317216:0.339100:0.317216:0.322666:0.104633:0.322666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.287909:0.339100:0.297168:0.339100:0.297168:0.322694:0.287909:0.322694:0.000000 8:@0.297099:0.342272:0.302336:0.342272:0.302336:0.332691:0.297099:0.332691:0.000000 d. :@0.104633:0.388333:0.121512:0.388333:0.121512:0.371900:0.104633:0.371900:0.000000:0.000000:0.000000 1:@0.137458:0.380865:0.146441:0.380865:0.146441:0.364431:0.137458:0.364431:0.000000 2:@0.137458:0.397257:0.146441:0.397257:0.146441:0.380823:0.137458:0.380823:0.000000 , 1, , ... , :@0.148981:0.388340:0.221679:0.388331:0.221679:0.371897:0.148981:0.371906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.178606:0.381757:0.187589:0.381757:0.187589:0.365324:0.178606:0.365324:0.000000 2:@0.178606:0.398150:0.187589:0.398150:0.187589:0.381716:0.178606:0.381716:0.000000 a:@0.221551:0.388331:0.230809:0.388331:0.230809:0.371925:0.221551:0.371925:0.000000 20:@0.230739:0.391506:0.241170:0.391506:0.241170:0.381925:0.230739:0.381925:0.000000:0.000000 =:@0.241117:0.388333:0.256046:0.388333:0.256046:0.371900:0.241117:0.371900:0.000000:0.000000 2. Sean ( ) una progresión aritmética y :@0.073089:0.444288:0.389805:0.444288:0.389805:0.427618:0.073089:0.427618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.149674:0.444288:0.158988:0.444288:0.158988:0.427882:0.149674:0.427882:0.000000 m:@0.158926:0.447460:0.167446:0.447460:0.167446:0.437895:0.158926:0.437895:0.000000 E = { | :@0.389897:0.444288:0.489801:0.444288:0.489801:0.427854:0.389897:0.427854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.422459:0.444288:0.431773:0.444288:0.431773:0.427882:0.422459:0.427882:0.000000 m:@0.431708:0.447460:0.440229:0.447460:0.440229:0.437895:0.431708:0.437895:0.000000 m:@0.452394:0.444288:0.467010:0.444288:0.467010:0.427882:0.452394:0.427882:0.000000 ∈:@0.471133:0.444686:0.485769:0.444686:0.485769:0.427834:0.471133:0.427834:0.000000 ℕ:@0.103212:0.461512:0.117533:0.461512:0.117533:0.443858:0.103212:0.443858:0.000000 } :@0.117441:0.460930:0.126184:0.460930:0.126184:0.444496:0.117441:0.444496:0.000000:0.000000 el recorrido de dicha progresión. Verifica la suma :@0.125632:0.460930:0.489831:0.460930:0.489831:0.444260:0.125632:0.444260:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sm de los primeros términos que se indican.:@0.103212:0.477571:0.437026:0.477571:0.437026:0.460902:0.103212:0.460902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. :@0.104633:0.515655:0.120077:0.515655:0.120077:0.499221:0.104633:0.499221:0.000000:0.000000:0.000000 E:@0.134834:0.515655:0.142952:0.515655:0.142952:0.499249:0.134834:0.499249:0.000000 = {2 – 1 | }, = 400.:@0.142878:0.515655:0.358062:0.515655:0.358062:0.499221:0.142878:0.499221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.175367:0.515655:0.189982:0.515655:0.189982:0.499249:0.175367:0.499249:0.000000 m:@0.227551:0.515655:0.242167:0.515655:0.242167:0.499249:0.227551:0.499249:0.000000 ∈:@0.246074:0.516053:0.260710:0.516053:0.260710:0.499201:0.246074:0.499201:0.000000 ℕ:@0.264761:0.516237:0.279082:0.516237:0.279082:0.498583:0.264761:0.498583:0.000000 S:@0.290954:0.515655:0.299017:0.515655:0.299017:0.499249:0.290954:0.499249:0.000000 20:@0.298940:0.518827:0.309371:0.518827:0.309371:0.509246:0.298940:0.509246:0.000000:0.000000 b. :@0.104633:0.553739:0.121531:0.553739:0.121531:0.537306:0.104633:0.537306:0.000000:0.000000:0.000000 E:@0.134834:0.553739:0.142952:0.553739:0.142952:0.537333:0.134834:0.537333:0.000000 = {4 + 3 | }, = 297.:@0.142878:0.553739:0.359829:0.553739:0.359829:0.537306:0.142878:0.537306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.175367:0.553739:0.189982:0.553739:0.189982:0.537333:0.175367:0.537333:0.000000 m:@0.229318:0.553739:0.243934:0.553739:0.243934:0.537333:0.229318:0.537333:0.000000 ∈:@0.247841:0.554138:0.262477:0.554138:0.262477:0.537286:0.247841:0.537286:0.000000 ℕ:@0.266528:0.554322:0.280849:0.554322:0.280849:0.536668:0.266528:0.536668:0.000000 S:@0.292721:0.553739:0.300784:0.553739:0.300784:0.537333:0.292721:0.537333:0.000000 11:@0.300707:0.556912:0.311138:0.556912:0.311138:0.547331:0.300707:0.547331:0.000000:0.000000 c. :@0.104633:0.591824:0.119708:0.591824:0.119708:0.575390:0.104633:0.575390:0.000000:0.000000:0.000000 E:@0.134834:0.591824:0.142952:0.591824:0.142952:0.575418:0.134834:0.575418:0.000000 = {80 – 3 | }, = –135.:@0.142878:0.591824:0.376094:0.591824:0.376094:0.575390:0.142878:0.575390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m m:@0.210193:0.591824:0.251076:0.591824:0.251076:0.575418:0.210193:0.575418:0.000000:0.000000:0.000000 ∈:@0.254976:0.592222:0.269613:0.592222:0.269613:0.575371:0.254976:0.575371:0.000000 ℕ:@0.273663:0.592406:0.287984:0.592406:0.287984:0.574752:0.273663:0.574752:0.000000 S:@0.299857:0.591824:0.307919:0.591824:0.307919:0.575418:0.299857:0.575418:0.000000 54:@0.307842:0.594996:0.318273:0.594996:0.318273:0.585415:0.307842:0.585415:0.000000:0.000000 3. Completa el proceso. En una progresión aritmética :@0.073089:0.629909:0.489827:0.629909:0.489827:0.613239:0.073089:0.613239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( ):@0.103214:0.646550:0.127119:0.646550:0.127119:0.630117:0.103214:0.630117:0.000000:0.000000:0.000000 v:@0.108479:0.646550:0.116210:0.646550:0.116210:0.630144:0.108479:0.630144:0.000000 n:@0.116520:0.649723:0.122057:0.649723:0.122057:0.640158:0.116520:0.640158:0.000000 con los términos :@0.127506:0.646550:0.274932:0.646550:0.274932:0.629881:0.127506:0.629881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.277599:0.646550:0.285330:0.646550:0.285330:0.630144:0.277599:0.630144:0.000000 3:@0.285636:0.649723:0.290873:0.649723:0.290873:0.640142:0.285636:0.640142:0.000000 = –5 y = 5, :@0.291098:0.646550:0.412193:0.646550:0.412193:0.630117:0.291098:0.630117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.356867:0.646550:0.364598:0.646550:0.364598:0.630144:0.356867:0.630144:0.000000 9:@0.364910:0.649723:0.370146:0.649723:0.370146:0.640142:0.364910:0.640142:0.000000 ¿cuántos :@0.414917:0.646550:0.489660:0.646550:0.489660:0.629881:0.414917:0.629881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 términos se deben considerar para que su suma :@0.103227:0.663192:0.489722:0.663192:0.489722:0.646523:0.103227:0.646523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sea S = 0?:@0.103227:0.679834:0.176617:0.679834:0.176617:0.663164:0.103227:0.663164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. Si ( ) es una progresión aritmética, existen , :@0.104633:0.723970:0.489806:0.723970:0.489806:0.707536:0.104633:0.707536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.155800:0.723970:0.163531:0.723970:0.163531:0.707564:0.155800:0.707564:0.000000 n:@0.163466:0.727143:0.169003:0.727143:0.169003:0.717578:0.163466:0.717578:0.000000 v d:@0.454663:0.723970:0.485775:0.723970:0.485775:0.707564:0.454663:0.707564:0.000000:0.000000:0.000000 0 :@0.461959:0.727143:0.469503:0.727143:0.469503:0.717562:0.461959:0.717562:0.000000:0.000000 ∈:@0.134754:0.747062:0.149390:0.747062:0.149390:0.730210:0.134754:0.730210:0.000000 , tal que = + :@0.149391:0.746664:0.292032:0.746664:0.292032:0.730230:0.149391:0.730230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ℕ:@0.153440:0.747246:0.167761:0.747246:0.167761:0.729592:0.153440:0.729592:0.000000 v:@0.228873:0.746664:0.236604:0.746664:0.236604:0.730258:0.228873:0.730258:0.000000 n:@0.236164:0.749836:0.241916:0.749836:0.241916:0.740255:0.236164:0.740255:0.000000 v:@0.260663:0.746664:0.268394:0.746664:0.268394:0.730258:0.260663:0.730258:0.000000 0:@0.267957:0.749836:0.273194:0.749836:0.273194:0.740255:0.267957:0.740255:0.000000 nd n:@0.291940:0.746664:0.335031:0.746664:0.335031:0.730258:0.291940:0.730258:0.000000:0.000000:0.000000:0.000000 , .:@0.310568:0.746664:0.375127:0.746664:0.375127:0.730230:0.310568:0.730230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ∈:@0.338917:0.747062:0.353553:0.747062:0.353553:0.730210:0.338917:0.730210:0.000000 ℕ:@0.357604:0.747246:0.371924:0.747246:0.371924:0.729592:0.357604:0.729592:0.000000 Particularmente, :@0.134765:0.782596:0.261297:0.782596:0.261297:0.766162:0.134765:0.766162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.134765:0.807808:0.142496:0.807808:0.142496:0.791402:0.134765:0.791402:0.000000 3:@0.142051:0.810987:0.147288:0.810987:0.147288:0.801406:0.142051:0.801406:0.000000 = + 3 = –5 y = + 9 = 5. :@0.147240:0.807815:0.387641:0.807815:0.387641:0.791381:0.147240:0.791381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.166034:0.807815:0.173765:0.807815:0.173765:0.791409:0.166034:0.791409:0.000000 0:@0.173329:0.810987:0.178565:0.810987:0.178565:0.801406:0.173329:0.801406:0.000000 d:@0.206202:0.807815:0.215461:0.807815:0.215461:0.791409:0.206202:0.791409:0.000000 v:@0.272082:0.807815:0.279813:0.807815:0.279813:0.791409:0.272082:0.791409:0.000000 9:@0.279384:0.810987:0.284621:0.810987:0.284621:0.801406:0.279384:0.801406:0.000000 v:@0.303369:0.807815:0.311100:0.807815:0.311100:0.791409:0.303369:0.791409:0.000000 0:@0.310663:0.810987:0.315900:0.810987:0.315900:0.801406:0.310663:0.801406:0.000000 d:@0.343537:0.807815:0.352796:0.807815:0.352796:0.791409:0.343537:0.791409:0.000000 Si tenemos el sistema de ecuaciones::@0.134725:0.833027:0.402827:0.833027:0.402827:0.816593:0.134725:0.816593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.134725:0.866436:0.138756:0.866436:0.138756:0.850002:0.134725:0.850002:0.000000 v:@0.150832:0.857907:0.158563:0.857907:0.158563:0.841501:0.150832:0.841501:0.000000 0:@0.158156:0.861085:0.163393:0.861085:0.163393:0.851504:0.158156:0.851504:0.000000 + 3 = –5,:@0.163345:0.857913:0.240269:0.857913:0.240269:0.841479:0.163345:0.841479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.191030:0.857913:0.200288:0.857913:0.200288:0.841507:0.191030:0.841507:0.000000 v:@0.150847:0.874555:0.158578:0.874555:0.158578:0.858149:0.150847:0.858149:0.000000 0:@0.158156:0.877727:0.163393:0.877727:0.163393:0.868146:0.158156:0.868146:0.000000 + 9 = 5,:@0.163345:0.874555:0.231139:0.874555:0.231139:0.858121:0.163345:0.858121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d:@0.191030:0.874555:0.200288:0.874555:0.200288:0.858149:0.191030:0.858149:0.000000 :@0.111037:0.903433:0.115068:0.903433:0.115068:0.886999:0.111037:0.886999:0.000000 ¿cuál es la solución del sistema?:@0.134745:0.903433:0.365278:0.903433:0.365278:0.886999:0.134745:0.886999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.552178:0.140040:0.560241:0.140040:0.560241:0.123634:0.552178:0.123634:0.000000 = + :@0.560167:0.140040:0.609520:0.140040:0.609520:0.123606:0.560167:0.123606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.578961:0.140040:0.586692:0.140040:0.586692:0.123634:0.578961:0.123634:0.000000 k:@0.586262:0.143212:0.590672:0.143212:0.590672:0.133647:0.586262:0.133647:0.000000 v:@0.609428:0.140040:0.617159:0.140040:0.617159:0.123634:0.609428:0.123634:0.000000 k:@0.616722:0.143212:0.621133:0.143212:0.621133:0.133647:0.616722:0.133647:0.000000 +1:@0.621090:0.143212:0.632680:0.143212:0.632680:0.133631:0.621090:0.133631:0.000000:0.000000 + ... + :@0.632633:0.140040:0.679719:0.140040:0.679719:0.123606:0.632633:0.123606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 v:@0.679590:0.140040:0.687321:0.140040:0.687321:0.123634:0.679590:0.123634:0.000000 k:@0.686879:0.143212:0.691290:0.143212:0.691290:0.133647:0.686879:0.133647:0.000000 +m:@0.691247:0.143212:0.706389:0.143212:0.706389:0.133631:0.691247:0.133631:0.000000:0.000000 con , y ≥1.:@0.706342:0.140040:0.865378:0.140040:0.865378:0.123606:0.706342:0.123606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k m:@0.741868:0.140040:0.771044:0.140040:0.771044:0.123634:0.741868:0.123634:0.000000:0.000000:0.000000 ∈:@0.774941:0.140438:0.789577:0.140438:0.789577:0.123586:0.774941:0.123586:0.000000 ℕ:@0.793626:0.140622:0.807947:0.140622:0.807947:0.122968:0.793626:0.122968:0.000000 m:@0.823869:0.140040:0.838485:0.140040:0.838485:0.123634:0.823869:0.123634:0.000000 Puesto que :@0.552178:0.173448:0.638015:0.173448:0.638015:0.157014:0.552178:0.157014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S = m:@0.637882:0.173448:0.682704:0.173448:0.682704:0.157042:0.637882:0.157042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( + 1) + (2k + ) ,:@0.663284:0.173448:0.851887:0.173455:0.851887:0.157021:0.663284:0.157014:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 u:@0.723016:0.173448:0.732330:0.173448:0.732330:0.157042:0.723016:0.157042:0.000000 0:@0.732260:0.176627:0.737497:0.176627:0.737497:0.167046:0.732260:0.167046:0.000000 d:@0.772036:0.173455:0.781295:0.173455:0.781295:0.157048:0.772036:0.157048:0.000000 m:@0.821423:0.173455:0.836038:0.173455:0.836038:0.157048:0.821423:0.157048:0.000000 se sigue que::@0.552162:0.206863:0.646444:0.206863:0.646444:0.190429:0.552162:0.190429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0 = ( + 1) –10 + (2 + ) :@0.552162:0.240272:0.776325:0.240272:0.776325:0.223838:0.552162:0.223838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.584650:0.240272:0.599266:0.240272:0.599266:0.223865:0.584650:0.223865:0.000000 k:@0.718747:0.240272:0.726313:0.240272:0.726313:0.223865:0.718747:0.223865:0.000000 m:@0.745033:0.240272:0.759648:0.240272:0.759648:0.223865:0.745033:0.223865:0.000000 ⇔:@0.776215:0.239855:0.795395:0.239855:0.795395:0.222867:0.776215:0.222867:0.000000 –10 + (2 + :@0.552125:0.273680:0.656074:0.273704:0.656074:0.257270:0.552125:0.257246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.600521:0.266229:0.609503:0.266229:0.609503:0.249795:0.600521:0.249795:0.000000 6:@0.600521:0.282621:0.609503:0.282621:0.609503:0.266187:0.600521:0.266187:0.000000 k:@0.629696:0.273704:0.637262:0.273704:0.637262:0.257298:0.629696:0.257298:0.000000 m):@0.655982:0.273704:0.675401:0.273704:0.675401:0.257298:0.655982:0.257298:0.000000:0.000000 = 0 :@0.675346:0.273704:0.707099:0.273704:0.707099:0.257270:0.675346:0.257270:0.000000:0.000000:0.000000:0.000000:0.000000 ⇔:@0.706988:0.273288:0.726169:0.273288:0.726169:0.256299:0.706988:0.256299:0.000000 2 + = 12,:@0.726077:0.273704:0.823543:0.273704:0.823543:0.257270:0.726077:0.257270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.742882:0.273704:0.750448:0.273704:0.750448:0.257298:0.742882:0.257298:0.000000 m:@0.769168:0.273704:0.783783:0.273704:0.783783:0.257298:0.769168:0.257298:0.000000 es decir que y están relacionados por la :@0.552165:0.321411:0.870879:0.321411:0.870879:0.304977:0.552165:0.304977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k m:@0.644109:0.321411:0.682139:0.321411:0.682139:0.305004:0.644109:0.305004:0.000000:0.000000:0.000000 ecuación 2 + = 12. Luego,:@0.552146:0.344099:0.764809:0.344099:0.764809:0.327665:0.552146:0.327665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.631335:0.344099:0.638900:0.344099:0.638900:0.327693:0.631335:0.327693:0.000000 m:@0.657620:0.344099:0.672235:0.344099:0.672235:0.327693:0.657620:0.327693:0.000000 m:@0.552128:0.377507:0.566743:0.377507:0.566743:0.361101:0.552128:0.361101:0.000000 = 12 – 2 .:@0.566670:0.377507:0.704159:0.377516:0.704159:0.361082:0.566670:0.361074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.629199:0.377507:0.636765:0.377507:0.636765:0.361101:0.629199:0.361101:0.000000 k:@0.656442:0.377507:0.664007:0.377507:0.664007:0.361101:0.656442:0.361101:0.000000 ∈:@0.667948:0.377915:0.682584:0.377915:0.682584:0.361063:0.667948:0.361063:0.000000 ℕ:@0.686635:0.378099:0.700956:0.378099:0.700956:0.360444:0.686635:0.360444:0.000000 Como ≥ 1, entonces: 12 – 2 ≥ 1 :@0.552188:0.410925:0.807607:0.410925:0.807607:0.394491:0.552188:0.394491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.600857:0.410925:0.615472:0.410925:0.615472:0.394519:0.600857:0.394519:0.000000 k:@0.768363:0.410925:0.775928:0.410925:0.775928:0.394519:0.768363:0.394519:0.000000 ⇔:@0.807497:0.410509:0.826677:0.410509:0.826677:0.393520:0.807497:0.393520:0.000000 :@0.826585:0.410925:0.830616:0.410925:0.830616:0.394491:0.826585:0.394491:0.000000 :@0.830538:0.409985:0.902078:0.409985:0.902078:0.398034:0.830538:0.398034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ,:@0.901759:0.410931:0.904962:0.410931:0.904962:0.394497:0.901759:0.394497:0.000000 con lo que si 0 ≤ < 6, = 12 – 2 . :@0.552187:0.444339:0.809888:0.444339:0.809888:0.427906:0.552187:0.427906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.675828:0.444339:0.683394:0.444339:0.683394:0.427933:0.675828:0.427933:0.000000 m:@0.718091:0.444339:0.732707:0.444339:0.732707:0.427933:0.718091:0.427933:0.000000 k:@0.795162:0.444339:0.802728:0.444339:0.802728:0.427933:0.795162:0.427933:0.000000 Por ejemplo::@0.552168:0.477748:0.643295:0.477748:0.643295:0.461314:0.552168:0.461314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si = 0, se tienen que considerar 12 términos.:@0.552168:0.511156:0.872795:0.511156:0.872795:0.494723:0.552168:0.494723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.566121:0.511156:0.573686:0.511156:0.573686:0.494750:0.566121:0.494750:0.000000 Si = 1, se deben sumar = 12 – 2 = 10 términos;:@0.552168:0.544565:0.907489:0.544565:0.907489:0.528131:0.552168:0.528131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.567796:0.544565:0.575361:0.544565:0.575361:0.528159:0.567796:0.528159:0.000000 m:@0.726080:0.544565:0.740695:0.544565:0.740695:0.528159:0.726080:0.528159:0.000000 si = 5, entonces = 2:@0.552168:0.577973:0.718367:0.577973:0.718367:0.561540:0.552168:0.561540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 k:@0.566121:0.577973:0.573686:0.577973:0.573686:0.561567:0.566121:0.561567:0.000000 m:@0.676767:0.577973:0.691382:0.577973:0.691382:0.561567:0.676767:0.561567:0.000000 4. Completa el proceso. :@0.514231:0.613339:0.708419:0.613339:0.708419:0.596669:0.514231:0.596669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Una progresión aritmética ( ) :@0.708677:0.613339:0.930943:0.613339:0.930943:0.596905:0.708677:0.596905:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.904530:0.613339:0.913789:0.613339:0.913789:0.596933:0.904530:0.596933:0.000000 m:@0.913616:0.616511:0.922137:0.616511:0.922137:0.606946:0.913616:0.606946:0.000000 es tal que la suma de los primeros 5 términos es 10, y :@0.544354:0.629980:0.931112:0.629980:0.931112:0.613547:0.544354:0.613547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la de los 10 primeros términos es 40. :@0.544354:0.646622:0.825221:0.646622:0.825221:0.630188:0.544354:0.630188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Determina el :@0.826794:0.646622:0.930803:0.646622:0.930803:0.629953:0.826794:0.629953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 término general:@0.544354:0.663264:0.664008:0.663264:0.664008:0.646595:0.544354:0.646595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , .:@0.663688:0.663264:0.745607:0.663264:0.745607:0.646830:0.663688:0.646830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a m:@0.667461:0.663264:0.706694:0.663264:0.706694:0.646858:0.667461:0.646858:0.000000:0.000000:0.000000 m:@0.676466:0.666436:0.684986:0.666436:0.684986:0.656872:0.676466:0.656872:0.000000 ∈:@0.710213:0.663662:0.724849:0.663662:0.724849:0.646811:0.710213:0.646811:0.000000 ℕ:@0.728359:0.663847:0.742680:0.663847:0.742680:0.646192:0.728359:0.646192:0.000000 Nota:@0.544360:0.701346:0.580991:0.701346:0.580991:0.684677:0.544360:0.684677:0.000000:0.000000:0.000000:0.000000 que = + :@0.580807:0.701346:0.682739:0.701349:0.682739:0.684915:0.580807:0.684912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.615504:0.701346:0.624763:0.701346:0.624763:0.684940:0.615504:0.684940:0.000000 m:@0.624597:0.704521:0.633118:0.704521:0.633118:0.694956:0.624597:0.694956:0.000000 a:@0.650404:0.701349:0.659663:0.701349:0.659663:0.684943:0.650404:0.684943:0.000000 0:@0.659499:0.704521:0.664736:0.704521:0.664736:0.694940:0.659499:0.694940:0.000000 md m:@0.682003:0.701349:0.736654:0.701349:0.736654:0.684943:0.682003:0.684943:0.000000:0.000000:0.000000:0.000000 = 0, 1, ..., está bien definido :@0.705564:0.701349:0.931088:0.701349:0.931088:0.684915:0.705564:0.684915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si se conocen y . Sea ( ) tal sucesión.:@0.544354:0.717991:0.846313:0.717991:0.846313:0.701557:0.544354:0.701557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.646495:0.717991:0.655754:0.717991:0.655754:0.701584:0.646495:0.701584:0.000000 0:@0.655681:0.721163:0.660917:0.721163:0.660917:0.711582:0.655681:0.711582:0.000000 d:@0.676792:0.717991:0.686051:0.717991:0.686051:0.701584:0.676792:0.701584:0.000000 a:@0.731425:0.717991:0.740684:0.717991:0.740684:0.701584:0.731425:0.701584:0.000000 m:@0.740622:0.721163:0.749142:0.721163:0.749142:0.711598:0.740622:0.711598:0.000000 a. La suma de los primeros términos está dada :@0.545774:0.752501:0.930943:0.752501:0.930943:0.736067:0.545774:0.736067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.695070:0.752501:0.704569:0.752501:0.704569:0.736095:0.695070:0.736095:0.000000 como:@0.575902:0.769143:0.618551:0.769143:0.618551:0.752709:0.575902:0.752709:0.000000:0.000000:0.000000:0.000000 :@0.552178:0.797723:0.556209:0.797723:0.556209:0.781289:0.552178:0.781289:0.000000 S:@0.575895:0.797723:0.583958:0.797723:0.583958:0.781316:0.575895:0.781316:0.000000 n:@0.583892:0.800895:0.589430:0.800895:0.589430:0.791330:0.583892:0.791330:0.000000 = (2 + ( – 1) ), :@0.589391:0.797723:0.788554:0.797723:0.788554:0.781289:0.589391:0.781289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.610805:0.790253:0.619788:0.790253:0.619788:0.773819:0.610805:0.773819:0.000000 2:@0.610805:0.806645:0.619788:0.806645:0.619788:0.790211:0.610805:0.790211:0.000000 n a:@0.626286:0.797728:0.658664:0.797728:0.658664:0.781322:0.626286:0.781322:0.000000:0.000000:0.000000 0:@0.658606:0.800895:0.663843:0.800895:0.663843:0.791314:0.658606:0.791314:0.000000 n:@0.687376:0.797723:0.696874:0.797723:0.696874:0.781316:0.687376:0.781316:0.000000 d n:@0.731480:0.797723:0.765975:0.797723:0.765975:0.781316:0.731480:0.781316:0.000000:0.000000:0.000000 ∈:@0.769886:0.798121:0.784522:0.798121:0.784522:0.781269:0.769886:0.781269:0.000000 ℤ:@0.788573:0.798305:0.800850:0.798305:0.800850:0.780651:0.788573:0.780651:0.000000 +:@0.800842:0.789137:0.807238:0.789137:0.807238:0.779556:0.800842:0.779556:0.000000 .:@0.807191:0.797723:0.810394:0.797723:0.810394:0.781289:0.807191:0.781289:0.000000 :@0.552178:0.826302:0.556209:0.826302:0.556209:0.809869:0.552178:0.809869:0.000000 Entonces, para = 5 y = 10 se tiene::@0.575887:0.826302:0.847775:0.826302:0.847775:0.809869:0.575887:0.809869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.685736:0.826302:0.695234:0.826302:0.695234:0.809896:0.685736:0.809896:0.000000 n :@0.738768:0.826302:0.751505:0.826302:0.751505:0.809896:0.738768:0.809896:0.000000:0.000000 :@0.552178:0.858666:0.556209:0.858666:0.556209:0.842232:0.552178:0.842232:0.000000 S:@0.575895:0.858666:0.583958:0.858666:0.583958:0.842260:0.575895:0.842260:0.000000 5:@0.583891:0.861838:0.588849:0.861838:0.588849:0.852273:0.583891:0.852273:0.000000 = 10, = 40; luego,:@0.588810:0.858666:0.739476:0.858666:0.739476:0.842232:0.588810:0.842232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 S:@0.632472:0.858666:0.640535:0.858666:0.640535:0.842260:0.632472:0.842260:0.000000 10:@0.640475:0.861838:0.650905:0.861838:0.650905:0.852257:0.640475:0.852257:0.000000:0.000000 :@0.552178:0.891028:0.556209:0.891028:0.556209:0.874594:0.552178:0.874594:0.000000 10 = × 5(2 + 4 ) :@0.575887:0.891028:0.728122:0.891028:0.728122:0.874594:0.575887:0.874594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.615114:0.883558:0.624097:0.883558:0.624097:0.867124:0.615114:0.867124:0.000000 2:@0.615114:0.899950:0.624097:0.899950:0.624097:0.883516:0.615114:0.883516:0.000000 a:@0.668035:0.891033:0.677294:0.891033:0.677294:0.874627:0.668035:0.874627:0.000000 0:@0.677225:0.894200:0.682462:0.894200:0.682462:0.884619:0.677225:0.884619:0.000000 d:@0.710101:0.891028:0.719360:0.891028:0.719360:0.874622:0.710101:0.874622:0.000000 ⇔:@0.728029:0.890612:0.747210:0.890612:0.747210:0.873623:0.728029:0.873623:0.000000 1:@0.756822:0.165477:0.765805:0.165477:0.765805:0.149043:0.756822:0.149043:0.000000 2:@0.756822:0.181869:0.765805:0.181869:0.765805:0.165435:0.756822:0.165435:0.000000 5:@0.688566:0.232614:0.697549:0.232614:0.697549:0.216180:0.688566:0.216180:0.000000 6:@0.688566:0.249006:0.697549:0.249006:0.697549:0.232572:0.688566:0.232572:0.000000 Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 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