Question

scrie ca putere a lui 2 numarul N+2,unde N=2+2^2+2^3+..........+2^2014

Answer 1

N=2+2^2+2^3+..........+2^2014    inmultim cu 2
2N=2^2+2^3+..........+2^2014+2^2015             
adunam si scadem 2
2N=2+2^2+2^3+..........+2^2014+2^2015 -2
2N=N+2^2015 -2
N=2^2015 -2
N+2=2^2015