Math Help - Infinite & Geometric Series

1. Infinite & Geometric Series

Test the following series for convergence. You must state the test(s) you are using. Where appropriate, discuss conditional and absolute convergence. If a series is geometric, find its sum.

2. Originally Posted by dietrying97
Test the following series for convergence. You must state the test(s) you are using. Where appropriate, discuss conditional and absolute convergence. If a series is geometric, find its sum.
Well, is this geometric?

3. Originally Posted by Drexel28
Well, is this geometric?
yes it is geometric

4. Originally Posted by dietrying97
yes it is geometric
So then a series $\sum_{n=1}^{\infty}z^n$ is convergent when.............

5. When the absolute value of $|{z}| < 1$ then it converges to 0?