$\"\"$

The series is $\"\"$ .

Divergence test:

For the series $\"\"$ , If $\"\"$ , then the series $\"\"$ is divergent.

Here $\"\"$ .

Find out the first few terms.

If $\"\"$ then $\"\"$ .

Observe the terms:

The terms are multiplying with $\"\"$ , therefore the common difference is $\"\"$ .

$\"\"$ .

Since the series is geometric and $\"\"$ , the series diverges.

$\"\"$

The series is divergent.