Question

[tex]x=1+2+ 2^{2}+....+ 2^{2014}
[/tex]
Aratati ca x=2^2015-1

Answer 1

x=1+2+2²+...+2²°¹⁴
x=2²°¹⁵-1

exista o formula 1+n+n²+n³+...+$n^{m}$=$n^{m+1} -1/n-1$