Question

Aflati suma resturilor împarțirilor tuturor numerelor naturale x la numarul 3,unde 10≤x≤20.

Answer 1

10≤x≤20;
⇒10/3=3[rest 1];
⇒20/3=6[rest 2];
⇒1+2+1+2+1+2+1+2=3·4=12⇒suma resturilor impartirilor tuturor numerelor naturale x la numarul 3;

Answer 2

10:x=3 rest 1 11:x=3 rest 2 12:x=4 rest 0 13:x=4 rest 1 14:x=4 rest 2 15:x=5 rest 0 16:x=5 rest 1 17:x=5 rest 2 18:x=6 rest 0 19:x=6 rest 1 20:x=6 rest 2 Suma resturilor:1+2+0+1+2+0+1+2+0+1+2=12