Use the comparison test to determine whether the series is convergent or divergent

b) diverges

Step-by-step explanation:

Given is a series with the terms

We find that this series follows a pattern such that each term is multiplied by 5/3 to get the next term.

In other words, this is a geometric series with  I term=25/3 and common ratio=5/3

Sum of geometric series upto n terms

=

Since r>1, we find that this series diverges to infinity

Hence answer is

B) divergent