# How do I determine if the alternating series #sum_(n=1)^oo(-1)^n/sqrt(3n+1)# is convergent?

##### 1 Answer

Oct 18, 2014

**Alternating Series Test**

An alternating series

Let us look at the posted alternating series.

In this series,

and

Hence, we conclude that the series converges by Alternating Series Test.

I hope that this was helpful.