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((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!

((Picture) CONVERGENT AND DIVERGENT SERIES PLEASE HELP!!-example-1

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Answer:

A


Explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

12/5 + 48/25 + 192/125 + ....

r = 192/125 ÷ 48/25 = 4/5

r = 48/25 ÷ 12/5 = 4/5

In the series, r is less than 1. So the series is convergent.

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