Question

Fie suma a=2la puterea 0 +2 la puterea1 +....+ 2 la puterea 2014. Scrieti sub forma de putere a lui 2 suma a+1.

Answer 1

[tex]a=2^0+2^1+...+2^{2014}|\cdot2\\ 2a=2^1+2^2+..+2^{2014}+2^{2015}|+2^0\\ 2a+1=2^0+2^2+...+2^{2014}+2^{2015}\\ 2a+1=a+2^{2015}\\ 2a-a+1=2^{2015}\\ a+1=2^{2015} [/tex]