Question

va rog rezolvatimi si mie ex prin suma lui Gausse ex sunt 1+2+3......+158=
1+2+3......+3720=
1+2+3.......+730=
1+2+3........+50=
1+2+3.......+495=
2+4+6......+380=
2+4+6......+15020=
5+10+15.....+195=
3+6+9.......+123=
1+3+5+7+....73=
va rog repede

Answer 1

suma lui Gauss spune asa 1+2+3+...+n=n*(n+1):2

1+2+3...+158=158*159:2=12561
1+2+3+...+3720=3720*3721:2=6921060
1+3+3+...+730=730*731:2=266815
1+2+3+...+50=50*51:2=1275
1+2+3+...+495=495*496:2=122760
2+4+6+...+380=2*(1+2+3+...+195)=2*195*196:2=38220
2+4+6+...+15020=2*(1+2+3+...+7510)=2*7510*7511:2=56407610
5+10+15+...+195=5*(1+2+3+...+39)=5*39*40:2=3900
3+6+9+...+123=3*(1+2+3+...+41)=3*41*42:2=2583
1+3+5+7+...+73=1+3+5+,,,+(2*36+1)=36²=1296