Question

am nevoie de ajutor cu suma Gauss vă roog​

Answer 1

Răspuns:

S=1+2+2²+...+2⁴⁰

S=1×(1+2)/2

S=1+2/2

S=3/2

Sper ca te am ajutat!

Nici eu nu o stiu prea bine dar este ceva de genu

:)

Answer 2

$\begin{aligned}S&=1+2+2^2+...+2^{40}\\&= 2S-S\\ &= 2(1+2+2^2+...+2^{40})-S \\ &= 2+2^2+2^3+...+2^{40}+2^{41}-S\\ &= 1+2+2^2+...+2^{40}-S-1+2^{41}\\ &= S-S+2^{41}-1\\ &= 2^{41}-1\end{aligned}$