166:@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
Definición  :@0.293660:0.218735:0.385435:0.218735:0.385435:0.201789:0.293660:0.201789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Una sucesión real ( ) se llama progresión aritmética si y solo si existe              :@0.378146:0.218735:0.930775:0.218735:0.930775:0.202302:0.378146:0.202302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.533632:0.218735:0.542946:0.218735:0.542946:0.202329:0.533632:0.202329:0.000000
n:@0.543199:0.221908:0.548736:0.221908:0.548736:0.212343:0.543199:0.212343:0.000000
d:@0.293663:0.235128:0.302922:0.235128:0.302922:0.218722:0.293663:0.218722:0.000000
     con   ≠ 0, tal que :@0.302941:0.235128:0.474403:0.235125:0.474403:0.218691:0.302941:0.218694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.306987:0.235524:0.321623:0.235524:0.321623:0.218672:0.306987:0.218672:0.000000
ℝ:@0.325672:0.235708:0.338962:0.235708:0.338962:0.218053:0.325672:0.218053:0.000000
d:@0.374948:0.235125:0.384207:0.235125:0.384207:0.218719:0.374948:0.218719:0.000000
u:@0.474329:0.235125:0.483643:0.235125:0.483643:0.218719:0.474329:0.218719:0.000000
n:@0.483663:0.238297:0.489201:0.238297:0.489201:0.228733:0.483663:0.228733:0.000000
+1:@0.489211:0.238297:0.500855:0.238297:0.500855:0.228717:0.489211:0.228717:0.000000:0.000000
 =   +  , :@0.500861:0.235125:0.570420:0.235125:0.570420:0.218691:0.500861:0.218691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.519930:0.235125:0.529245:0.235125:0.529245:0.218719:0.519930:0.218719:0.000000
n:@0.529268:0.238297:0.534805:0.238297:0.534805:0.228733:0.529268:0.228733:0.000000
d:@0.553890:0.235125:0.563149:0.235125:0.563149:0.218719:0.553890:0.218719:0.000000
∀:@0.570420:0.235708:0.582698:0.235708:0.582698:0.218053:0.570420:0.218053:0.000000
n:@0.582698:0.235125:0.592196:0.235125:0.592196:0.218719:0.582698:0.218719:0.000000
    , con :@0.592232:0.235125:0.668504:0.235125:0.668504:0.218691:0.592232:0.218691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.596272:0.235524:0.610908:0.235524:0.610908:0.218672:0.596272:0.218672:0.000000
ℕ:@0.614957:0.235708:0.629278:0.235708:0.629278:0.218053:0.614957:0.218053:0.000000
u:@0.668485:0.235125:0.677799:0.235125:0.677799:0.218719:0.668485:0.218719:0.000000
0:@0.677813:0.238297:0.683050:0.238297:0.683050:0.228717:0.677813:0.228717:0.000000
  :@0.683061:0.238297:0.686935:0.238297:0.686935:0.228733:0.683061:0.228733:0.000000:0.000000
∈:@0.686950:0.235524:0.701586:0.235524:0.701586:0.218672:0.686950:0.218672:0.000000
   dado. :@0.701587:0.235125:0.768121:0.235125:0.768121:0.218691:0.701587:0.218691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.705636:0.235708:0.718926:0.235708:0.718926:0.218053:0.705636:0.218053:0.000000
Cada término de la progresión aritmética se obtiene sumando al término anterior la :@0.293663:0.262237:0.930415:0.262237:0.930415:0.245804:0.293663:0.245804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
constante  .:@0.293663:0.278630:0.382423:0.278630:0.382423:0.262196:0.293663:0.262196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.370035:0.278630:0.379294:0.278630:0.379294:0.262224:0.370035:0.262224:0.000000
u:@0.293645:0.302164:0.302959:0.302164:0.302959:0.285758:0.293645:0.285758:0.000000
1:@0.302999:0.305335:0.308236:0.305335:0.308236:0.295754:0.302999:0.295754:0.000000
 =   +  ,       =   +   =   + 2:@0.308244:0.302163:0.531977:0.302163:0.531977:0.285729:0.308244:0.285729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.327314:0.302163:0.336628:0.302163:0.336628:0.285757:0.327314:0.285757:0.000000
0:@0.336649:0.305335:0.341886:0.305335:0.341886:0.295754:0.336649:0.295754:0.000000
d:@0.360964:0.302163:0.370223:0.302163:0.370223:0.285757:0.360964:0.285757:0.000000
u:@0.393673:0.302163:0.402987:0.302163:0.402987:0.285757:0.393673:0.285757:0.000000
2:@0.403011:0.305335:0.408248:0.305335:0.408248:0.295754:0.403011:0.295754:0.000000
u:@0.427325:0.302163:0.436639:0.302163:0.436639:0.285757:0.427325:0.285757:0.000000
1:@0.436661:0.305335:0.441898:0.305335:0.441898:0.295754:0.436661:0.295754:0.000000
d:@0.460975:0.302163:0.470234:0.302163:0.470234:0.285757:0.460975:0.285757:0.000000
u:@0.489323:0.302163:0.498637:0.302163:0.498637:0.285757:0.489323:0.285757:0.000000
0:@0.498663:0.305335:0.503900:0.305335:0.503900:0.295754:0.498663:0.295754:0.000000
d,:@0.531959:0.302163:0.544236:0.302163:0.544236:0.285757:0.531959:0.285757:0.000000:0.000000
u:@0.293658:0.322133:0.302973:0.322133:0.302973:0.305727:0.293658:0.305727:0.000000
3:@0.302999:0.325299:0.308236:0.325299:0.308236:0.315718:0.302999:0.315718:0.000000
 =   +   =   + 2  +   =   + 3:@0.308244:0.322127:0.531313:0.322127:0.531313:0.305693:0.308244:0.305693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.327314:0.322127:0.336628:0.322127:0.336628:0.305721:0.327314:0.305721:0.000000
2:@0.336649:0.325299:0.341886:0.325299:0.341886:0.315718:0.336649:0.315718:0.000000
d:@0.360964:0.322127:0.370223:0.322127:0.370223:0.305721:0.360964:0.305721:0.000000
u:@0.389311:0.322127:0.398625:0.322127:0.398625:0.305721:0.389311:0.305721:0.000000
0:@0.398652:0.325299:0.403889:0.325299:0.403889:0.315718:0.398652:0.315718:0.000000
d:@0.431947:0.322127:0.441206:0.322127:0.441206:0.305721:0.431947:0.305721:0.000000
d:@0.460294:0.322127:0.469553:0.322127:0.469553:0.305721:0.460294:0.305721:0.000000
u:@0.488641:0.322127:0.497956:0.322127:0.497956:0.305721:0.488641:0.305721:0.000000
0:@0.497999:0.325299:0.503236:0.325299:0.503236:0.315718:0.497999:0.315718:0.000000
d,:@0.531294:0.322127:0.543572:0.322127:0.543572:0.305721:0.531294:0.305721:0.000000:0.000000
∙:@0.293657:0.342679:0.302860:0.342679:0.302860:0.325025:0.293657:0.325025:0.000000
u:@0.293657:0.362067:0.302971:0.362067:0.302971:0.345661:0.293657:0.345661:0.000000
k:@0.302999:0.365225:0.307410:0.365225:0.307410:0.355661:0.302999:0.355661:0.000000
 = :@0.307425:0.362053:0.326495:0.362053:0.326495:0.345619:0.307425:0.345619:0.000000:0.000000:0.000000
u:@0.326495:0.362053:0.335809:0.362053:0.335809:0.345647:0.326495:0.345647:0.000000
k:@0.335833:0.365225:0.340243:0.365225:0.340243:0.355661:0.335833:0.355661:0.000000
–1:@0.340254:0.365225:0.350868:0.365225:0.350868:0.355645:0.340254:0.355645:0.000000:0.000000
 +   =   + (  – 1)  +   =   + :@0.350873:0.362053:0.565694:0.362053:0.565694:0.345619:0.350873:0.345619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.369943:0.362053:0.379202:0.362053:0.379202:0.345647:0.369943:0.345647:0.000000
u:@0.398290:0.362053:0.407604:0.362053:0.407604:0.345647:0.398290:0.345647:0.000000
0:@0.407633:0.365225:0.412870:0.365225:0.412870:0.355645:0.407633:0.355645:0.000000
k:@0.436825:0.362053:0.444390:0.362053:0.444390:0.345647:0.436825:0.345647:0.000000
d:@0.475591:0.362053:0.484850:0.362053:0.484850:0.345647:0.475591:0.345647:0.000000
d:@0.503938:0.362053:0.513197:0.362053:0.513197:0.345647:0.503938:0.345647:0.000000
u:@0.532285:0.362053:0.541599:0.362053:0.541599:0.345647:0.532285:0.345647:0.000000
0:@0.541653:0.365225:0.546611:0.365225:0.546611:0.355661:0.541653:0.355661:0.000000
kd,   k :@0.565694:0.362053:0.606334:0.362053:0.606334:0.345647:0.565694:0.345647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= 1, 2...:@0.606393:0.362053:0.656350:0.362053:0.656350:0.345619:0.606393:0.345619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Así, el término general   de una progresión aritmética ( ) está definido como::@0.293653:0.389166:0.864208:0.389164:0.864208:0.372730:0.293653:0.372732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.459282:0.389166:0.468596:0.389166:0.468596:0.372759:0.459282:0.372759:0.000000
n:@0.468623:0.392337:0.474160:0.392337:0.474160:0.382772:0.468623:0.382772:0.000000
u:@0.696774:0.389164:0.706088:0.389164:0.706088:0.372758:0.696774:0.372758:0.000000
n:@0.706115:0.392337:0.711652:0.392337:0.711652:0.382772:0.706115:0.382772:0.000000
   =   + :@0.537037:0.409134:0.608598:0.409127:0.608598:0.392693:0.537037:0.392701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.540995:0.409134:0.550309:0.409134:0.550309:0.392728:0.540995:0.392728:0.000000
n:@0.550324:0.412299:0.555862:0.412299:0.555862:0.402735:0.550324:0.402735:0.000000
u:@0.574946:0.409127:0.584260:0.409127:0.584260:0.392721:0.574946:0.392721:0.000000
0:@0.584284:0.412299:0.589521:0.412299:0.589521:0.402718:0.584284:0.402718:0.000000
nd, n:@0.608598:0.409127:0.643248:0.409127:0.643248:0.392721:0.608598:0.392721:0.000000:0.000000:0.000000:0.000000:0.000000
    . :@0.643296:0.409127:0.687575:0.409127:0.687575:0.392693:0.643296:0.392693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.647334:0.409525:0.661970:0.409525:0.661970:0.392674:0.647334:0.392674:0.000000
ℕ:@0.666020:0.409709:0.680341:0.409709:0.680341:0.392055:0.666020:0.392055:0.000000
Además, el recorrido de la progresión aritmética ( ) es el conjunto  { + :@0.293660:0.429097:0.819801:0.429091:0.819801:0.412657:0.293660:0.412663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.649638:0.429097:0.658952:0.429097:0.658952:0.412691:0.649638:0.412691:0.000000
n:@0.658972:0.432263:0.664510:0.432263:0.664510:0.422698:0.658972:0.422698:0.000000
u:@0.788350:0.429091:0.797664:0.429091:0.797664:0.412685:0.788350:0.412685:0.000000
0:@0.797683:0.432263:0.802919:0.432263:0.802919:0.422682:0.797683:0.422682:0.000000
 :@0.802930:0.432263:0.804862:0.432263:0.804862:0.422698:0.802930:0.422698:0.000000
nd  n:@0.819709:0.429091:0.858940:0.429091:0.858940:0.412685:0.819709:0.412685:0.000000:0.000000:0.000000:0.000000:0.000000
 |     }.:@0.838337:0.429091:0.904030:0.429091:0.904030:0.412657:0.838337:0.412657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.863015:0.429489:0.877651:0.429489:0.877651:0.412637:0.863015:0.412637:0.000000
ℕ:@0.881702:0.429673:0.896022:0.429673:0.896022:0.412019:0.881702:0.412019:0.000000
Ejercicio 1:@0.293663:0.456453:0.370066:0.456453:0.370066:0.439783:0.293663:0.439783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea ( ) la sucesión definida como   = 3 + 4 ,       . Tenemos   = 3. Por un lado,  :@0.293663:0.479987:0.930934:0.479991:0.930934:0.463557:0.293663:0.463553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.329871:0.479987:0.339185:0.479987:0.339185:0.463581:0.329871:0.463581:0.000000
n:@0.339362:0.483163:0.344899:0.483163:0.344899:0.473598:0.339362:0.473598:0.000000
u:@0.556241:0.479991:0.565555:0.479991:0.565555:0.463585:0.556241:0.463585:0.000000
n:@0.565734:0.483163:0.571272:0.483163:0.571272:0.473598:0.565734:0.473598:0.000000
n n:@0.631786:0.479991:0.664201:0.479991:0.664201:0.463585:0.631786:0.463585:0.000000:0.000000:0.000000
∈:@0.669499:0.480389:0.684136:0.480389:0.684136:0.463537:0.669499:0.463537:0.000000
ℕ:@0.689450:0.480573:0.703770:0.480573:0.703770:0.462919:0.689450:0.462919:0.000000
u:@0.784044:0.479991:0.793358:0.479991:0.793358:0.463585:0.784044:0.463585:0.000000
0:@0.793533:0.483163:0.798769:0.483163:0.798769:0.473582:0.793533:0.473582:0.000000
u:@0.293657:0.496383:0.302971:0.496383:0.302971:0.479977:0.293657:0.479977:0.000000
1:@0.302999:0.499553:0.308236:0.499553:0.308236:0.489972:0.302999:0.489972:0.000000
 = 3 + 4 × 1 = 7, y por otro,   =  +   = 3 +   = 7. Luego,   = 4. :@0.308244:0.496381:0.765343:0.496381:0.765343:0.479947:0.308244:0.479947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.504060:0.496381:0.513374:0.496381:0.513374:0.479974:0.504060:0.479974:0.000000
1:@0.513408:0.499553:0.518644:0.499553:0.518644:0.489972:0.513408:0.489972:0.000000
u:@0.537444:0.496381:0.546758:0.496381:0.546758:0.479974:0.537444:0.479974:0.000000
0:@0.546782:0.499553:0.552018:0.499553:0.552018:0.489972:0.546782:0.489972:0.000000
 :@0.552029:0.499553:0.553961:0.499553:0.553961:0.489988:0.552029:0.489988:0.000000
d:@0.568808:0.496381:0.578067:0.496381:0.578067:0.479974:0.568808:0.479974:0.000000
d:@0.624472:0.496381:0.633731:0.496381:0.633731:0.479974:0.624472:0.479974:0.000000
d:@0.721202:0.496381:0.730461:0.496381:0.730461:0.479974:0.721202:0.479974:0.000000
Resulta:   =  +   = 7 + 4 = 11,   =  +   = 11 + 4 = 15, así sucesivamente.:@0.293638:0.523493:0.842449:0.523492:0.842449:0.507058:0.293638:0.507059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.353039:0.523493:0.362353:0.523493:0.362353:0.507087:0.353039:0.507087:0.000000
2:@0.362410:0.526664:0.367646:0.526664:0.367646:0.517083:0.362410:0.517083:0.000000
u:@0.386446:0.523492:0.395760:0.523492:0.395760:0.507086:0.386446:0.507086:0.000000
1:@0.395784:0.526664:0.401020:0.526664:0.401020:0.517083:0.395784:0.517083:0.000000
 :@0.401031:0.526664:0.402963:0.526664:0.402963:0.517099:0.401031:0.517099:0.000000
d:@0.417809:0.523492:0.427068:0.523492:0.427068:0.507086:0.417809:0.507086:0.000000
u:@0.526043:0.523492:0.535357:0.523492:0.535357:0.507086:0.526043:0.507086:0.000000
3:@0.535399:0.526664:0.540636:0.526664:0.540636:0.517083:0.535399:0.517083:0.000000
u:@0.559436:0.523492:0.568750:0.523492:0.568750:0.507086:0.559436:0.507086:0.000000
2:@0.568773:0.526664:0.574010:0.526664:0.574010:0.517083:0.568773:0.517083:0.000000
 :@0.574021:0.526664:0.575953:0.526664:0.575953:0.517099:0.574021:0.517099:0.000000
d:@0.590800:0.523492:0.600059:0.523492:0.600059:0.507086:0.590800:0.507086:0.000000
El recorrido de esta sucesión está definido como el conjunto: :@0.293652:0.550604:0.738483:0.550604:0.738483:0.534170:0.293652:0.534170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{3 + 4  |      } = {3, 7, 11, 15, ... 3 + 4 , ...}.:@0.458783:0.574138:0.761815:0.574139:0.761815:0.557706:0.458783:0.557704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.500181:0.574138:0.530829:0.574138:0.530829:0.557732:0.500181:0.557732:0.000000:0.000000:0.000000
∈:@0.534906:0.574538:0.549542:0.574538:0.549542:0.557686:0.534906:0.557686:0.000000
ℕ:@0.553592:0.574722:0.567913:0.574722:0.567913:0.557068:0.553592:0.557068:0.000000
n:@0.727909:0.574139:0.737407:0.574139:0.737407:0.557733:0.727909:0.557733:0.000000
Otra forma de obtener   es la siguiente: de la definición del término general de la :@0.293645:0.601252:0.930998:0.601252:0.930998:0.584818:0.293645:0.584818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.473392:0.601252:0.482651:0.601252:0.482651:0.584846:0.473392:0.584846:0.000000
sucesión  , se tiene :@0.293645:0.617644:0.443544:0.617640:0.443544:0.601206:0.293645:0.601210:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.361108:0.617644:0.370422:0.617644:0.370422:0.601238:0.361108:0.601238:0.000000
n:@0.370361:0.620813:0.375899:0.620813:0.375899:0.611248:0.370361:0.611248:0.000000
u:@0.429812:0.641175:0.439126:0.641175:0.439126:0.624768:0.429812:0.624768:0.000000
n:@0.439154:0.644351:0.444692:0.644351:0.444692:0.634786:0.439154:0.634786:0.000000
+1:@0.444703:0.644351:0.456346:0.644351:0.456346:0.634770:0.444703:0.634770:0.000000:0.000000
=   +   :@0.460403:0.641178:0.522692:0.641178:0.522692:0.624745:0.460403:0.624745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.475423:0.641178:0.484737:0.641178:0.484737:0.624772:0.475423:0.624772:0.000000
n:@0.484761:0.644351:0.490298:0.644351:0.490298:0.634786:0.484761:0.634786:0.000000
d:@0.509383:0.641178:0.518642:0.641178:0.518642:0.624772:0.509383:0.624772:0.000000
⇔:@0.522710:0.640762:0.541890:0.640762:0.541890:0.623774:0.522710:0.623774:0.000000
 3 + 4(  + 1) = 3 + 4  +   :@0.541890:0.641178:0.727638:0.641178:0.727638:0.624745:0.541890:0.624745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.587872:0.641178:0.597370:0.641178:0.597370:0.624772:0.587872:0.624772:0.000000
 :@0.630337:0.641178:0.633650:0.641178:0.633650:0.624772:0.630337:0.624772:0.000000
n:@0.685743:0.641178:0.695241:0.641178:0.695241:0.624772:0.685743:0.624772:0.000000
d:@0.714329:0.641178:0.723588:0.641178:0.723588:0.624772:0.714329:0.624772:0.000000
⇔:@0.727656:0.640762:0.746837:0.640762:0.746837:0.623774:0.727656:0.623774:0.000000
  = 4.:@0.746837:0.641178:0.790756:0.641178:0.790756:0.624745:0.746837:0.624745:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d :@0.750886:0.641178:0.763477:0.641178:0.763477:0.624772:0.750886:0.624772:0.000000:0.000000
Y, por lo tanto, :@0.293632:0.668291:0.401202:0.668291:0.401202:0.651857:0.293632:0.651857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.401185:0.668291:0.410499:0.668291:0.410499:0.651885:0.401185:0.651885:0.000000
n:@0.410457:0.671462:0.415995:0.671462:0.415995:0.661897:0.410457:0.661897:0.000000
+1:@0.415952:0.671462:0.427542:0.671462:0.427542:0.661881:0.415952:0.661881:0.000000:0.000000
 =   + 4,      . Se tiene :@0.427494:0.668289:0.613219:0.668289:0.613219:0.651856:0.427494:0.651856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.446583:0.668289:0.455897:0.668289:0.455897:0.651883:0.446583:0.651883:0.000000
n:@0.455923:0.671462:0.461461:0.671462:0.461461:0.661897:0.455923:0.661897:0.000000
n:@0.496689:0.668289:0.506187:0.668289:0.506187:0.651883:0.496689:0.651883:0.000000
∈:@0.510402:0.668688:0.525038:0.668688:0.525038:0.651836:0.510402:0.651836:0.000000
ℕ:@0.529234:0.668872:0.543555:0.668872:0.543555:0.651218:0.529234:0.651218:0.000000
u:@0.613227:0.668289:0.622541:0.668289:0.622541:0.651883:0.613227:0.651883:0.000000
n:@0.622469:0.671462:0.628006:0.671462:0.628006:0.661897:0.622469:0.661897:0.000000
+1:@0.627963:0.671462:0.639553:0.671462:0.639553:0.661881:0.627963:0.661881:0.000000:0.000000
 –   = 4 > 0,  :@0.639506:0.668289:0.738871:0.668289:0.738871:0.651856:0.639506:0.651856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.656827:0.668289:0.666141:0.668289:0.666141:0.651883:0.656827:0.651883:0.000000
n:@0.666076:0.671462:0.671613:0.671462:0.671613:0.661897:0.666076:0.661897:0.000000
∀:@0.738871:0.668872:0.751149:0.668872:0.751149:0.651218:0.738871:0.651218:0.000000
n:@0.751149:0.668289:0.760647:0.668289:0.760647:0.651883:0.751149:0.651883:0.000000
     que muestra que :@0.760666:0.668289:0.931046:0.668289:0.931046:0.651856:0.760666:0.651856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.764867:0.668688:0.779504:0.668688:0.779504:0.651836:0.764867:0.651836:0.000000
ℕ:@0.783701:0.668872:0.798022:0.668872:0.798022:0.651218:0.783701:0.651218:0.000000
( ) es una sucesión estrictamente creciente.:@0.293663:0.684682:0.615718:0.684679:0.615718:0.668245:0.293663:0.668248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.298468:0.684682:0.307782:0.684682:0.307782:0.668276:0.298468:0.668276:0.000000
n:@0.307797:0.687851:0.313334:0.687851:0.313334:0.678287:0.307797:0.678287:0.000000
Ejercicio 2:@0.293653:0.712041:0.370056:0.712041:0.370056:0.695371:0.293653:0.695371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los cuatro primeros términos de una :@0.293653:0.735575:0.589480:0.735575:0.589480:0.719142:0.293653:0.719142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión:@0.592352:0.735575:0.678087:0.735575:0.678087:0.718906:0.592352:0.718906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 aritmética son 15; 12,5; 10; 7,5. :@0.678365:0.735575:0.930914:0.735575:0.930914:0.719142:0.678365:0.719142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinemos el término general de la progresión aritmética. Ponemos   = 15,   = 12,5.:@0.293653:0.751968:0.926910:0.751969:0.926910:0.735535:0.293653:0.735534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.805651:0.751968:0.814965:0.751968:0.814965:0.735562:0.805651:0.735562:0.000000
0:@0.814718:0.755141:0.819954:0.755141:0.819954:0.745560:0.814718:0.745560:0.000000
u:@0.862173:0.751969:0.871487:0.751969:0.871487:0.735563:0.862173:0.735563:0.000000
1:@0.871243:0.755141:0.876480:0.755141:0.876480:0.745560:0.871243:0.745560:0.000000
Luego,   =   + :@0.293663:0.779081:0.412993:0.779080:0.412993:0.762646:0.293663:0.762647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.346437:0.779081:0.355751:0.779081:0.355751:0.762675:0.346437:0.762675:0.000000
1:@0.355688:0.782252:0.360924:0.782252:0.360924:0.772671:0.355688:0.772671:0.000000
u:@0.379671:0.779080:0.388985:0.779080:0.388985:0.762674:0.379671:0.762674:0.000000
0:@0.388916:0.782252:0.394153:0.782252:0.394153:0.772671:0.388916:0.772671:0.000000
d :@0.412901:0.779080:0.425399:0.779080:0.425399:0.762674:0.412901:0.762674:0.000000:0.000000
⇔:@0.425344:0.778664:0.444524:0.778664:0.444524:0.761675:0.425344:0.761675:0.000000
 12,5 = 15 +     :@0.444432:0.779080:0.567607:0.779080:0.567607:0.762646:0.444432:0.762646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.533597:0.779080:0.542856:0.779080:0.542856:0.762674:0.533597:0.762674:0.000000
d = :@0.567533:0.779080:0.594169:0.779080:0.594169:0.762674:0.567533:0.762674:0.000000:0.000000:0.000000:0.000000
–2,5.:@0.594132:0.779080:0.627412:0.779080:0.627412:0.762646:0.594132:0.762646:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.293670:0.806192:0.302984:0.806192:0.302984:0.789786:0.293670:0.789786:0.000000
2:@0.302999:0.809363:0.308236:0.809363:0.308236:0.799782:0.302999:0.799782:0.000000
 =  +   = 12,5 – 2,5 = 10,:@0.308244:0.806191:0.494080:0.806191:0.494080:0.789757:0.308244:0.789757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.327037:0.806191:0.336352:0.806191:0.336352:0.789785:0.327037:0.789785:0.000000
1:@0.336373:0.809363:0.341610:0.809363:0.341610:0.799782:0.336373:0.799782:0.000000
 :@0.341621:0.809363:0.343553:0.809363:0.343553:0.799799:0.341621:0.799799:0.000000
d:@0.358400:0.806191:0.367659:0.806191:0.367659:0.789785:0.358400:0.789785:0.000000
u:@0.293643:0.826161:0.302957:0.826161:0.302957:0.809755:0.293643:0.809755:0.000000
3:@0.302999:0.829326:0.308236:0.829326:0.308236:0.819745:0.302999:0.819745:0.000000
 =  +   = 10 – 2,5 = 7,5,:@0.308244:0.826154:0.485171:0.826154:0.485171:0.809720:0.308244:0.809720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.327037:0.826154:0.336352:0.826154:0.336352:0.809748:0.327037:0.809748:0.000000
2:@0.336373:0.829326:0.341610:0.829326:0.341610:0.819745:0.336373:0.819745:0.000000
 :@0.341621:0.829326:0.343553:0.829326:0.343553:0.819761:0.341621:0.819761:0.000000
d:@0.358400:0.826154:0.367659:0.826154:0.367659:0.809748:0.358400:0.809748:0.000000
∙:@0.293643:0.846706:0.302847:0.846706:0.302847:0.829052:0.293643:0.829052:0.000000
u:@0.293643:0.866094:0.302957:0.866094:0.302957:0.849688:0.293643:0.849688:0.000000
n:@0.302999:0.869254:0.308537:0.869254:0.308537:0.859689:0.302999:0.859689:0.000000
+1:@0.308547:0.869254:0.320191:0.869254:0.320191:0.859673:0.308547:0.859673:0.000000:0.000000
 =  +   =   + (  + 1)  = 15 – 2,5(  + 1),     :@0.320198:0.866081:0.648507:0.866081:0.648507:0.849648:0.320198:0.849648:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.338992:0.866081:0.348306:0.866081:0.348306:0.849675:0.338992:0.849675:0.000000
n :@0.348328:0.869254:0.355808:0.869254:0.355808:0.859689:0.348328:0.859689:0.000000:0.000000
d:@0.370664:0.866081:0.379923:0.866081:0.379923:0.849675:0.370664:0.849675:0.000000
u:@0.398643:0.866081:0.407957:0.866081:0.407957:0.849675:0.398643:0.849675:0.000000
0:@0.407991:0.869254:0.413228:0.869254:0.413228:0.859673:0.407991:0.859673:0.000000
n:@0.436815:0.866081:0.446313:0.866081:0.446313:0.849675:0.436815:0.849675:0.000000
d:@0.478728:0.866081:0.487987:0.866081:0.487987:0.849675:0.478728:0.849675:0.000000
n:@0.567249:0.866081:0.576747:0.866081:0.576747:0.849675:0.567249:0.849675:0.000000
n:@0.616231:0.866081:0.625729:0.866081:0.625729:0.849675:0.616231:0.849675:0.000000
∈:@0.629840:0.866480:0.644476:0.866480:0.644476:0.849628:0.629840:0.849628:0.000000
ℕ:@0.648525:0.866664:0.662846:0.866664:0.662846:0.849010:0.648525:0.849010:0.000000
.:@0.662846:0.866081:0.666178:0.866081:0.666178:0.849675:0.662846:0.849675:0.000000
Como :@0.293670:0.893194:0.343267:0.893194:0.343267:0.876760:0.293670:0.876760:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.344511:0.893194:0.353825:0.893194:0.353825:0.876788:0.344511:0.876788:0.000000
n:@0.354012:0.896364:0.359550:0.896364:0.359550:0.886800:0.354012:0.886800:0.000000
+1:@0.359668:0.896364:0.371430:0.896364:0.371430:0.886783:0.359668:0.886783:0.000000:0.000000
 – :@0.371566:0.893192:0.390176:0.893192:0.390176:0.876759:0.371566:0.876759:0.000000:0.000000:0.000000
u:@0.391409:0.893192:0.400723:0.893192:0.400723:0.876786:0.391409:0.876786:0.000000
n :@0.400921:0.896364:0.408508:0.896364:0.408508:0.886800:0.400921:0.886800:0.000000:0.000000
= –2,5 < 0, :@0.409146:0.893192:0.494445:0.893192:0.494445:0.876759:0.409146:0.876759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.495733:0.893775:0.508011:0.893775:0.508011:0.876121:0.495733:0.876121:0.000000
n:@0.508250:0.893192:0.517748:0.893192:0.517748:0.876786:0.508250:0.876786:0.000000
    , se sigue que ( ) es una sucesión estrictamente :@0.517951:0.893192:0.930777:0.893192:0.930777:0.876759:0.517951:0.876759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.523294:0.893591:0.537930:0.893591:0.537930:0.876739:0.523294:0.876739:0.000000
ℕ:@0.543503:0.893775:0.557824:0.893775:0.557824:0.876121:0.543503:0.876121:0.000000
u:@0.672667:0.893192:0.681981:0.893192:0.681981:0.876786:0.672667:0.876786:0.000000
n:@0.682197:0.896364:0.687734:0.896364:0.687734:0.886800:0.682197:0.886800:0.000000
decreciente.:@0.293662:0.909585:0.382512:0.909585:0.382512:0.893151:0.293662:0.893151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El recorrido de esta sucesión es el conjunto {15 – 2,5  |      }.:@0.293662:0.936697:0.746284:0.936693:0.746284:0.920259:0.293662:0.920263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n n:@0.670550:0.936697:0.701198:0.936697:0.701198:0.920291:0.670550:0.920291:0.000000:0.000000:0.000000
∈:@0.705271:0.937091:0.719908:0.937091:0.719908:0.920239:0.705271:0.920239:0.000000
ℕ:@0.723956:0.937275:0.738277:0.937275:0.738277:0.919621:0.723956:0.919621:0.000000
Tema 2. Progresiones aritméticas:@0.073089:0.099788:0.563083:0.099788:0.563083:0.068547:0.073089:0.068547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el conjunto de los diez primeros números múltiplos de 11, :@0.294207:0.166896:0.774416:0.166896:0.774416:0.150462:0.294207:0.150462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comenzando en 66?:@0.294207:0.183538:0.442183:0.183538:0.442183:0.167104:0.294207:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302129:0.139844:0.424604:0.139844:0.424604:0.124438:0.302129:0.124438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.378982:0.187141:0.378982:0.187141:0.362036:0.078581:0.362036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.395624:0.176057:0.395624:0.176057:0.378677:0.078581:0.378677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si u      está fijado y si :@0.082576:0.418135:0.242406:0.418135:0.242406:0.403195:0.082576:0.403195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.106094:0.421019:0.110855:0.421019:0.110855:0.412309:0.106094:0.412309:0.000000
∈ ℝ:@0.114410:0.418664:0.143946:0.418664:0.143946:0.402615:0.114410:0.402615:0.000000:0.000000:0.000000
d = 0, entonces::@0.082576:0.433264:0.187474:0.433264:0.187474:0.418324:0.082576:0.418324:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.082576:0.456802:0.091461:0.456802:0.091461:0.441862:0.082576:0.441862:0.000000
n+1:@0.091388:0.459685:0.107114:0.459685:0.107114:0.450975:0.091388:0.450975:0.000000:0.000000:0.000000
= u  + d,   n     :@0.110662:0.456801:0.231705:0.456801:0.231705:0.441861:0.110662:0.441861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.132959:0.459685:0.138188:0.459685:0.138188:0.450975:0.132959:0.450975:0.000000
∀ ∈ ℕ:@0.174090:0.457330:0.228124:0.457330:0.228124:0.441281:0.174090:0.441281:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.231633:0.456700:0.250813:0.456700:0.250813:0.439711:0.231633:0.439711:0.000000
u  = u ,   n    .:@0.082576:0.471930:0.194073:0.471930:0.194073:0.456990:0.082576:0.456990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.091388:0.474814:0.096617:0.474814:0.096617:0.466104:0.091388:0.466104:0.000000
0:@0.122469:0.474814:0.127230:0.474814:0.127230:0.466104:0.122469:0.466104:0.000000
∀ ∈ ℕ:@0.137211:0.472459:0.191245:0.472459:0.191245:0.456410:0.137211:0.456410:0.000000:0.000000:0.000000:0.000000:0.000000
Es decir, se trata de una :@0.082575:0.494207:0.239764:0.494207:0.239764:0.479267:0.082575:0.479267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión constante que :@0.082575:0.509336:0.243046:0.509336:0.243046:0.494396:0.082575:0.494396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no tiene mayor interés.:@0.082575:0.524465:0.233583:0.524465:0.233583:0.509525:0.082575:0.509525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Progresión.:@0.087763:0.615177:0.165600:0.613641:0.165073:0.598492:0.087237:0.600028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Sucesión :@0.165504:0.613644:0.232116:0.612330:0.231597:0.597395:0.164985:0.598709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números o términos :@0.088294:0.630302:0.246794:0.627174:0.246275:0.612239:0.087775:0.615367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
algebraicos entre los :@0.088820:0.645425:0.228477:0.642670:0.227958:0.627735:0.088301:0.630491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuales hay una ley de :@0.089346:0.660549:0.233713:0.657701:0.233194:0.642766:0.088827:0.645614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formación constante.:@0.089872:0.675673:0.229659:0.672915:0.229140:0.657980:0.089352:0.660738:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Glosario:@0.141037:0.589864:0.200657:0.589864:0.200657:0.574457:0.141037:0.574457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DBA 3 (Ev. 2) Determina y utiliza la expresión general de una sucesión para calcular cualquier valor de la misma y para compararla con otras sucesiones.:@0.079492:0.965315:0.822784:0.965315:0.822784:0.953363:0.079492:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
EC. Reconoce progresiones aritméticas y sus propiedades. EC. Deduce fórmulas para un término cualquiera, así como la suma de los términos de una progresión aritmética.:@0.079492:0.977418:0.924990:0.977418:0.924990:0.965466:0.079492:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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