# Math Help - When does the series converge

1. ## When does the series converge

Find the value of x for which the series converges. Then Find the sum of the serises for those values of x

infinite series

2^n(x+1)^n

2. You can combine those terms under the same power since they are being multiplied.

$[2(x+1)]^n$

This is a geometric series and converges for a^n, whenever a<1. So 2(x+1)<1 for this to converge.