Step 1:

The sequence is .

The n^th term representation of the sequence is .

The partial sum of the sequence for n terms is .

Now tabulate the partial sum for different values of n.

n	an	sn
1
2
3
4
5
6
7
8

 The sum of first eight terms of the sequence is .

 Step 2:

Observe the partial sum of sequence, .

The partial sum appears to be increasing.

So the sequence is divergent.

Solution :

The sequence is divergent.