Question

cum se rezolva calculul de mai jos folosind ,,pasul lui Gaus"

7*1+7*2+7*3+.......+7*100

Answer 1

7[1+2+3+...+100]
7[100·101/2]
7[50·101]
7·5050=35350;

Answer 2

     
$7*1 + 7*2 + 7*3 + ...... + 7 * 100 = \;\;\;\;\;\; (\text{Dam factor comun pe 7 }) \\ =7(1 + 2 + 3 + ... + 100) = \;\;\;\;\;\; (Folosim \;formula: ) S= \frac{n(n+1)}{2} \\ \\ =7(\frac{100(100+1)}{2})= 7*50*101= 350*101 = \boxed{35350}$