$\"\"$

The series is $\"\"$ .

The general form of geometric series is $\"\"$ .

Convergence of a geometric series :

A geometric series with ratio $\"\"$ diverges if $\"\"$ .

If $\"\"$ , then the series converges to the sum.

$\"\"$ , $\"\"$ .

Compare the series with $\"\"$ .

Here $\"\"$ .

Hence $\"\"$ .

Therefore, the series is geometric series and $\"\"$ .

$\"\"$

The series is geometric series with $\"\"$ and it is diverges.