Question

sa se rastranga numerele 2 plus 2 la puterea 2 plus 2 la puterea a 3 plus 2 la puterea 4 plus 2 la puterea 5 plus.... plus 2 la puterea 50

Answer 1

[tex]S=2+2^2+...+2^{50}|*2\\ 2S=2^2+2^3+...+2^{50}+2^{51}|+2\\ 2S+2=2+2^2+2^3+...+2^{50}+2^{51}\\ 2S+2=S+2^{51}\\ S=2^{51}-2[/tex]