Hello,

I was wondering if this sequence converges, and if it does what is the limit?

(a_n), where a_n=(1)+(1/2)+(1/2^2)+(1/2^3)+...+(1/2^n).

p.s- I know that the sequence a_n=(1/2,1/4,1/6...) its limit is zero, but I'm not really sure about the sequence above.

Thanks!!