The series is .

The serires can be written as .

It is a sum of two convergent series, if the series is a convergent geomentric series then the

series can be evaluated as .

This is a geomentric series where  is initial term and  is common ratio.

Consider .

This is a geomentric series with initial term and common ratio . \ \

The common ratio , hence the series is convergent. \ \

Therefore the sum is .

.

Consider .

This is a geomentric series with initial term and common ratio .

The common ratio , hence the series is convergent. \ \

Therefore the sum is .

.

Therefore, the series converges and sum of the series to . \ \

The series convergent and sum of the series to .