348"*?(8@EACT3EACT13f 4L|1H233======SOMMES =======@EACT Enonc 8"*?(8@RUNMAT\TEXT1HLdhpxāȁ48Calcule d'une pat : 12123e123412345'u2Et d'aute pat :t 181827t182764 p182764125t 8Quelle conjectue peut on nonce ?00QueTeste vote conjectue avec 12...100 puis avec 12...1000estD monstation.@SSHEET25 premiers ...T"@P n,*?(8@SSHEETT@SNAMEP PP\ SHEET SPA  SPAX0  0@P`p 0@Pp@!%"#C%')1131r2p2t@37P4 `405 689&AHA!gA8$AV% (08@HPX`hpx=A13=A23v#=A33v#=A43v#=A53v#=A63v#=A73v#=A83v#=A93v#=A103#=A113#=A123#=A133#=A143#=A153#=A163#=A173#=A183#=A193#=A203#=A213#=A223#=A233#=A243#=A253#X0  0@P`p 0@Pp@!%"#C%')1131r2p2t@37P4 `405 689&AHA!gA8$AV% (08@HPX`hpx=A13=A23v#=A33v#=A43v#=A53v#=A63v#=A73v#=A83v#=A93v#=A103#=A113#=A123#=A133#=A143#=A153#=A163#=A173#=A183#=A193#=A203#=A213#=A223#=A233#=A243#=A253#X0  0@P`p 0@Pp@!%"#C%')1131r2p2t@37P4 `405 689&AHA!gA8$AV% (08@HPX`hpx=A13=A23v#=A33v#=A43v#=A53v#=A63v#=A73v#=A83v#=A93v#=A103#=A113#=A123#=A133#=A143#=A153#=A163#=A173#=A183#=A193#=A203#=A213#=A223#=A233#=A243#=A253#@EACT Remarque 1l8"*?(8@RUNMATTEXT1 Nous venons d'afficher les 25 premiers entiers dans la colonne A et leur cube dans la colonne B; il nous faut maintenant calculer la somme des termes de la colonne A que l'on l vera au carr et que l'on comparera  la somme des cubes ...@SSHEETAu carr ? Cube? P"@P n,*?(8@SSHEET @SC_CNDx, @SG_CDX @SG_CND @SNAME` SHEETl SPA|T \ `0 `0SPApD  0@P`p 0@PQbPp@!%"#C%')1131r2p2t@37P4 `405 689&AHA!gA8$AV%QbP=A1:A25)2 (08@HPX`hpx=A13=A23v#=A33v#=A43v#=A53v#=A63v#=A73v#=A83v#=A93v#=A103#=A113#=A123#=A133#=A143#=A153#=A163#=A173#=A183#=A193#=A203#=A213#=A223#=A233#=A243#=A253#=B1:B25)mainVWIN`00 `(10qy` (10qy` "XE@EACT Remarque 28"*?(8@RUNMAT`TEXT1L Il sembleait que (123...n)2 = 1323...n3@SSHEETn=100P"@! n,*?(8@SSHEET@@SNAME( SHEET4 SHEET x<<  0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p 0@P`p!rUPp@!%"#C%')1131r2p2t@37P4 `405 689&AHA!gA8$AV%AuvABRBCBpBC'hCY7CD(uDfVESEHrEF@F!G@GHQI%Is6Q0QY QdQ%Q2eQ@`QHpQWF@Qf7PQua`Q0Q R7RR&R82RPpRb@RtbPRI`Sv0SC S(PSCSWSs$SpT"@T!PT8`TVS0TtU TUU1DUQ6UqxpUp@VPV6`VXP0VG WW)WSWWxhX5pX0X@XW7PXs`Yg0YA Yp)arUPf=A1:A100)2f (08@HPX`hpx (08@HPX`hpx (08@HPX`hpx =A13=A23=A33=A43=A53=A63=A73=A83=A93=A103=A113=A123=A133=A143=A153=A163=A173=A183=A193=A203=A213=A223=A233=A243=A253=A263=A273=A283=A293=A303=A313=A323=A333=A343=A353=A363=A373=A383=A393=A403=A413=A423=A433=A443=A453=A463=A473=A483=A493=A503=A513=A523=A533=A543=A553=A563=A573=A583=A593=A603=A613=A623=A633=A643=A653=A663=A673=A683=A693=A703=A713=A723=A733=A743=A753=A763=A773=A783=A793=A803=A813=A823=A833=A843=A853=A863=A873=A883=A893=A903=A913=A923=A933=A943=A953=A963=A973=A983=A993=A1003=B1:B100)@EACT D monstration 8"*?(8@RUNMATTEXT1<@hlmCalculer ()kk1n)2alcPuis calculer ()k3k1n) uisEt enfin, montrer que ces deux expressions sont gales quelque soit n.@EACT Solutionګ8"*?(8@RUNMAT|TEXT1h\`d()kk1n)2=)k3k1n = n44 n32 n24)k)k)