Question

4+ 2 la puterea 2 + 2 la puterea 3 +...2 la puterea 10

Answer 1

S=2 +2²+2³+.....+$2^{10}$

$S=2^{(1+2+3+......+10)}$

la putere recunoastem o suma Gauss cu formula de calcul S=[(n×(n+1)]:2

S = (10 × 11): 2 = 55

S = 2 + 2² + 2³+.....+$2^{10}$ = $2^{55}$