Question

Determinati suma elementelor multimii { x ∈ N | 1 < x ≤2 la puterea 100}

Answer 1

S=$S= 2^{1}+ 2^{2} +2^{3} +2^{4}+.....+ 2^{100} inmultesti cu 2$
$2S= 2^{2}+ 2^{3}+2^{4} +....+ 2^{100}+2^{101}$$2S-S= 2^{101}$-2