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

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

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4 votes

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.

-5 + 25 - 125 + ..

r = -5/25 = -1/5

r = 25/-125 = -1/5

|r| = 1/5

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


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