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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:

F

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.

3/4 + 4/5 + 5/6

r = 4/5÷3/4 = 4/5×4/3 = 16/15

r = 5/6÷4/5 = 5/6×5/4 = 25/24

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


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