b) 10+20+30+...+1230 = 10×(1+2+3+....+123)=
(1+2+3+....+123)- suma Gauss are formula de calcul : [n(n+1)]:2
(123×124):2=15252
10(1+2+3+....+123)=10×15252=152520
mai pe scurt
10+20+30+...+1230 = 10×(1+2+3+....+123); S= [n(n+1)]:2=(123×124):2=15252;10+20+30+...+1230 = 10×(1+2+3+....+123)=10×15252=152520
c) 7+14+21+...+315=7(1+2+3+......+45)
(1+2+3+....+45)- suma Gauss are formula de calcul : [n(n+1)]:2
(1+2+3+....+45)=(45×46)/2=1035
7+14+21+...+315=7(1+2+3+......+45)=7×1035=7245
mai pe scurt:
7+14+21+...+315=7(1+2+3+......+45); S=[n(n+1)]:2=(45×46)/2=1035, 7+14+21+...+315==7×1035=7245