So, I'm a bit baffle on this concept for the convergence of series.

Test for Divergence: [http://imgur.com/XZk547T](https://imgur.com/XZk547T) (2/5)≠0 So, it's divergent.

Now, let's take a look at this example: [http://imgur.com/EWYc8Dk](https://imgur.com/EWYc8Dk) 

For this example, it converges to -(8/7). What? Did I miss something? I thought it had to be zero in order to converge?