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

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

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3 votes

Answer:

B


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.


25/3+125/9+625+ ...

r = 125/9 ÷25/3 = 5/3

625/27 ÷ 125/9 = 5/3

In the series, r is greater than 1. So the series is divergent.

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