The series is .

Alternating Series Test :

If the alternating series  satisfies

(i)  ,

(ii) , then the series is convergent. 

Consider sequence  .

Here .

Therefore, .

Thus, .

Series is eventually increasing.

First condition of the alternating test doesnot satisfy.

Therefore,  the given series is divergent by the Alternating Series Test.

The series is divergent.