69:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
3. :@0.120102:0.648115:0.138843:0.648115:0.138843:0.630979:0.120102:0.630979:0.000000:0.000000:0.000000
El pirmer término de una progresión geomé-:@0.153346:0.648115:0.492322:0.648115:0.492322:0.631726:0.153346:0.631726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica es 3, el segundo término es 9 y la suma de :@0.153346:0.664711:0.496339:0.664711:0.496339:0.648322:0.153346:0.648322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los 3 primeros términos es 36.:@0.153346:0.681308:0.371212:0.681308:0.371212:0.664919:0.153346:0.664919:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.705027:0.172068:0.705027:0.172068:0.688126:0.153346:0.688126:0.000000:0.000000:0.000000
Determina:@0.186589:0.705027:0.268279:0.705027:0.268279:0.688402:0.186589:0.688402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón .:@0.268279:0.705027:0.341197:0.705027:0.341197:0.688638:0.268279:0.688638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 r:@0.329385:0.705027:0.337990:0.705027:0.337990:0.688665:0.329385:0.688665:0.000000:0.000000
 :@0.153346:0.801797:0.157160:0.801797:0.157160:0.784897:0.153346:0.784897:0.000000
b) :@0.153344:0.821963:0.173375:0.821963:0.173375:0.805062:0.153344:0.805062:0.000000:0.000000:0.000000
Indaga:@0.186587:0.821963:0.239862:0.821963:0.239862:0.805339:0.186587:0.805339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el tercer término.:@0.239862:0.821963:0.368745:0.821963:0.368745:0.805574:0.239862:0.805574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.918734:0.157158:0.918734:0.157158:0.901833:0.153344:0.901833:0.000000
5. :@0.512425:0.774798:0.531166:0.774798:0.531166:0.757662:0.512425:0.757662:0.000000:0.000000:0.000000
Encuentra:@0.545668:0.774798:0.623672:0.774798:0.623672:0.758174:0.545668:0.758174:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el término solicitado.:@0.623672:0.774798:0.780600:0.774798:0.780600:0.758409:0.623672:0.758409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512425:0.798517:0.516460:0.798517:0.516460:0.782128:0.512425:0.782128:0.000000
¿Cuál es la suma de los seis primeros términos :@0.545668:0.798517:0.888699:0.798517:0.888699:0.782128:0.545668:0.782128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la progresión geométrica: 3, 6, 12,…?:@0.545668:0.815113:0.839512:0.815113:0.839512:0.798724:0.545668:0.798724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.120102:0.236478:0.138843:0.236478:0.138843:0.219342:0.120102:0.219342:0.000000:0.000000:0.000000
El primer término de una progresión geomé-:@0.153346:0.236478:0.492322:0.236478:0.492322:0.220089:0.153346:0.220089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica es 5 y el tercer término es 1,25.:@0.153346:0.253075:0.413337:0.253075:0.413337:0.236686:0.153346:0.236686:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.276794:0.172068:0.276794:0.172068:0.259893:0.153346:0.259893:0.000000:0.000000:0.000000
Encuentra:@0.186589:0.276794:0.264593:0.276794:0.264593:0.260170:0.186589:0.260170:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón .:@0.264593:0.276794:0.337510:0.276794:0.337510:0.260405:0.264593:0.260405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 r:@0.325697:0.276794:0.334303:0.276794:0.334303:0.260432:0.325697:0.260432:0.000000:0.000000
b) :@0.153344:0.393731:0.173375:0.393731:0.173375:0.376831:0.153344:0.376831:0.000000:0.000000:0.000000
Calcula:@0.186587:0.393731:0.242018:0.393731:0.242018:0.377107:0.186587:0.377107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el segundo término.:@0.242018:0.393731:0.393878:0.393731:0.393878:0.377342:0.242018:0.377342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.153344:0.510663:0.170979:0.510663:0.170979:0.493762:0.153344:0.493762:0.000000:0.000000:0.000000
Halla:@0.186587:0.510663:0.225064:0.510663:0.225064:0.494039:0.186587:0.494039:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los tres primeros  :@0.225064:0.510663:0.496356:0.510663:0.496356:0.494274:0.225064:0.494274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.186587:0.527259:0.255173:0.527259:0.255173:0.510870:0.186587:0.510870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4. :@0.512425:0.099432:0.531166:0.099432:0.531166:0.082297:0.512425:0.082297:0.000000:0.000000:0.000000
El término a de una progresión geométrica es :@0.545668:0.099432:0.888678:0.099432:0.888678:0.083043:0.545668:0.083043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 y el tercer término es 1,25.:@0.545668:0.116029:0.750084:0.116029:0.750084:0.099640:0.545668:0.099640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545668:0.139748:0.564391:0.139748:0.564391:0.122847:0.545668:0.122847:0.000000:0.000000:0.000000
Halla:@0.578912:0.139748:0.617389:0.139748:0.617389:0.123124:0.578912:0.123124:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón .:@0.617389:0.139748:0.690305:0.139748:0.690305:0.123359:0.617389:0.123359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 r:@0.678493:0.139748:0.687099:0.139748:0.687099:0.123386:0.678493:0.123386:0.000000:0.000000
b) :@0.545667:0.256686:0.565697:0.256686:0.565697:0.239785:0.545667:0.239785:0.000000:0.000000:0.000000
Calcula:@0.578910:0.256686:0.634340:0.256686:0.634340:0.240062:0.578910:0.240062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el octavo término.:@0.634340:0.256686:0.771055:0.256686:0.771055:0.240297:0.634340:0.240297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.545667:0.373617:0.563302:0.373617:0.563302:0.356716:0.545667:0.356716:0.000000:0.000000:0.000000
Determina:@0.578910:0.373617:0.660600:0.373617:0.660600:0.356993:0.578910:0.356993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el primer término de la  :@0.660600:0.373617:0.840691:0.373617:0.840691:0.357228:0.660600:0.357228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión.:@0.578910:0.390213:0.661779:0.390213:0.661779:0.373825:0.578910:0.373825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.545667:0.507145:0.565734:0.507145:0.565734:0.490244:0.545667:0.490244:0.000000:0.000000:0.000000
Halla :@0.578910:0.507145:0.621294:0.507145:0.621294:0.490521:0.578910:0.490521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la suma de los cuatro primeros  :@0.627559:0.507145:0.888679:0.507145:0.888679:0.490756:0.627559:0.490756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.578910:0.523741:0.647496:0.523741:0.647496:0.507352:0.578910:0.507352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.545667:0.640674:0.564537:0.640674:0.564537:0.623773:0.545667:0.623773:0.000000:0.000000:0.000000
Calcula:@0.578910:0.640674:0.634340:0.640674:0.634340:0.624050:0.578910:0.624050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los ocho primeros :@0.634340:0.640674:0.888716:0.640674:0.888716:0.624285:0.634340:0.624285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.884643:0.640674:0.888679:0.640674:0.888679:0.624285:0.884643:0.624285:0.000000
términos.:@0.578910:0.657270:0.647496:0.657270:0.647496:0.640882:0.578910:0.640882:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.153344:0.100407:0.170979:0.100407:0.170979:0.083506:0.153344:0.083506:0.000000:0.000000:0.000000
La suma de los cuatro primeros términos.:@0.186587:0.100407:0.488299:0.100407:0.488299:0.084018:0.186587:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.204300:0.157158:0.204300:0.157158:0.187399:0.153344:0.187399:0.000000
r:@0.213890:0.757074:0.219179:0.757074:0.219179:0.740712:0.213890:0.740712:0.000000
 = 3:@0.219179:0.757074:0.247226:0.757074:0.247226:0.740685:0.219179:0.740685:0.000000:0.000000:0.000000:0.000000
u:@0.210334:0.872017:0.219658:0.872017:0.219658:0.855656:0.210334:0.855656:0.000000
3:@0.219653:0.875176:0.224896:0.875176:0.224896:0.865621:0.219653:0.865621:0.000000
 = 27:@0.224895:0.872012:0.261935:0.872012:0.261935:0.855623:0.224895:0.855623:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.215644:0.158949:0.223716:0.158949:0.223716:0.142588:0.215644:0.142588:0.000000
4:@0.223716:0.162109:0.228958:0.162109:0.228958:0.152554:0.223716:0.152554:0.000000
 = 30:@0.228958:0.158945:0.265997:0.158945:0.265997:0.142557:0.228958:0.142557:0.000000:0.000000:0.000000:0.000000:0.000000
189:@0.609470:0.876905:0.636448:0.876905:0.636448:0.860516:0.609470:0.860516:0.000000:0.000000:0.000000
U:@0.615330:0.308093:0.626386:0.308093:0.626386:0.291732:0.615330:0.291732:0.000000
=:@0.636061:0.308770:0.646178:0.308770:0.646178:0.293198:0.636061:0.293198:0.000000
1:@0.659925:0.299573:0.668917:0.299573:0.668917:0.283184:0.659925:0.283184:0.000000
256:@0.650195:0.319015:0.676768:0.319015:0.676768:0.302626:0.650195:0.302626:0.000000:0.000000:0.000000
8:@0.626167:0.310097:0.631379:0.310097:0.631379:0.300599:0.626167:0.300599:0.000000
=:@0.629202:0.441775:0.639319:0.441775:0.639319:0.426202:0.629202:0.426202:0.000000
a:@0.616948:0.441098:0.626217:0.441098:0.626217:0.424736:0.616948:0.424736:0.000000
1:@0.644110:0.432578:0.653103:0.432578:0.653103:0.416189:0.644110:0.416189:0.000000
2:@0.643338:0.452021:0.652331:0.452021:0.652331:0.435632:0.643338:0.435632:0.000000
=:@0.626167:0.191731:0.636284:0.191731:0.636284:0.176158:0.626167:0.176158:0.000000
r:@0.616953:0.191053:0.622242:0.191053:0.622242:0.174692:0.616953:0.174692:0.000000
1:@0.641093:0.182534:0.650086:0.182534:0.650086:0.166145:0.641093:0.166145:0.000000
2:@0.640301:0.201975:0.649294:0.201975:0.649294:0.185586:0.640301:0.185586:0.000000
=:@0.633888:0.708556:0.580964:0.708556:0.580964:0.692983:0.633888:0.692983:0.000000
=:@0.696929:0.708556:0.644005:0.708556:0.644005:0.692983:0.696929:0.692983:0.000000
0,9961:@0.647290:0.707878:0.696731:0.707878:0.696731:0.691489:0.647290:0.691489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
255:@0.712155:0.698916:0.738728:0.698916:0.738728:0.682527:0.712155:0.682527:0.000000:0.000000:0.000000
256:@0.711787:0.718369:0.738359:0.718369:0.738359:0.701980:0.711787:0.701980:0.000000:0.000000:0.000000
8:@0.623627:0.709882:0.628839:0.709882:0.628839:0.700384:0.623627:0.700384:0.000000
S:@0.615827:0.707878:0.623899:0.707878:0.623899:0.691517:0.615827:0.691517:0.000000
=:@0.634516:0.575537:0.579289:0.575537:0.579289:0.559964:0.634516:0.559964:0.000000
=:@0.699861:0.575537:0.644633:0.575537:0.644633:0.559964:0.699861:0.559964:0.000000
0,9375:@0.647918:0.574859:0.697360:0.574859:0.697360:0.558470:0.647918:0.558470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
15:@0.713926:0.565897:0.731709:0.565897:0.731709:0.549508:0.713926:0.549508:0.000000:0.000000
16:@0.713566:0.585350:0.731349:0.585350:0.731349:0.568961:0.713566:0.568961:0.000000:0.000000
4:@0.624046:0.576863:0.629258:0.576863:0.629258:0.567365:0.624046:0.567365:0.000000
S:@0.615827:0.574859:0.623899:0.574859:0.623899:0.558498:0.615827:0.558498:0.000000
=:@0.241636:0.578029:0.204430:0.578029:0.204430:0.562456:0.241636:0.562456:0.000000
=:@0.288958:0.578029:0.251753:0.578029:0.251753:0.562456:0.288958:0.562456:0.000000
8,75:@0.255038:0.577351:0.286475:0.577351:0.286475:0.560962:0.255038:0.560962:0.000000:0.000000:0.000000:0.000000
35:@0.303816:0.568389:0.321598:0.568389:0.321598:0.552000:0.303816:0.552000:0.000000:0.000000
4:@0.308017:0.587842:0.317010:0.587842:0.317010:0.571453:0.308017:0.571453:0.000000
3:@0.231794:0.579355:0.237005:0.579355:0.237005:0.569857:0.231794:0.569857:0.000000
S:@0.223994:0.577351:0.232065:0.577351:0.232065:0.560990:0.223994:0.560990:0.000000
=:@0.243874:0.445368:0.215930:0.445368:0.215930:0.430083:0.243874:0.430083:0.000000
=:@0.281747:0.445368:0.253803:0.445368:0.253803:0.430083:0.281747:0.430083:0.000000
2,5:@0.256720:0.444702:0.279273:0.444702:0.279273:0.428617:0.256720:0.428617:0.000000:0.000000:0.000000
5:@0.296238:0.436300:0.305065:0.436300:0.305065:0.420215:0.296238:0.420215:0.000000
2:@0.296026:0.455461:0.304852:0.455461:0.304852:0.439376:0.296026:0.439376:0.000000
2:@0.233802:0.446669:0.238917:0.446669:0.238917:0.437347:0.233802:0.437347:0.000000
U:@0.223168:0.444702:0.234020:0.444702:0.234020:0.428644:0.223168:0.428644:0.000000
=:@0.233573:0.328232:0.204734:0.328232:0.204734:0.312659:0.233573:0.312659:0.000000
=:@0.272529:0.328232:0.243690:0.328232:0.243690:0.312659:0.272529:0.312659:0.000000
0,5:@0.246975:0.327555:0.270046:0.327555:0.270046:0.311166:0.246975:0.311166:0.000000:0.000000:0.000000
1:@0.288176:0.318596:0.297168:0.318596:0.297168:0.302207:0.288176:0.302207:0.000000
2:@0.287383:0.338042:0.296376:0.338042:0.296376:0.321653:0.287383:0.321653:0.000000
r:@0.223994:0.327555:0.229283:0.327555:0.229283:0.311193:0.223994:0.311193:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000