Answer: The correct option is (D) It converges; it has a sum.
Step-by-step explanation: We are given to check whether the following infinite geometric series diverge or converge :

We know that
an infinite geometric series converges if the modulus of the common ratio is less than 1.
For the given geometric series, the common ratio r is given by

So, we get

Therefore, the given infinite geometric series converges.
Also, we know that the sum of a convergent infinite geometric series with first term a and common ratio r is given by

For the given series,

Therefore, the required sum will be

Thus, the given series is convergent and it has a sum of 
Option (D) is CORRECT.