Quick help please on sequences !!!

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Quick help please on sequences !!!

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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So I was doing my Algebra 2 exam and I have this question, I already solved it Im just stuck on the end when it asks if it's convergent or divergent. I looked up and on mathematics, convergent is "approaching a definite limit as more of its terms are added". I take this as something that comes to and end (is limited). Divergent is "increasing indefinitely as more of its terms are added". So it is increasing each time? Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times as the amount he paid the month before. Explain to Tom how to represent his first 30 payments in sigma notation. Then explain how to find the sum of his first 30 payments, using complete sentences. Explain why this series is convergent or divergent. The solution is: 30 Σ 200(1.2)^(n-1) n=1
I think I'm supposed to choose either Convergent or Divergent only. :/
Or does Divergent mean infinite?

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Other answers:

take a look at this conversation.
Damn! idk. i don't get it thou
Yea, it's divergent because the rate is >1
Thanks @rhr12

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