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

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

1 Answer

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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.

8/5 + 32/25 + 128/125 + ...

r = 128/125 ÷ 32/25 = 128/125×25/32 = 4/5

r = 32/25 ÷ 8/5 = 32/25 × 5/8 = 4/5


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


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