Find whether the series diverges and its sum: \sum_{n=1}^\infty(-1)^{n+1}\frac{3}{5^n}

xnlghtmarexgo 2021-11-23 Answered
Find whether the series diverges and its sum:
n=1(1)n+135n
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Expert Answer

Florence Pittman
Answered 2021-11-24 Author has 15 answers

Notice that
(1)n+135n=3(1)n5n=3(15)n
Since k=1ark=ar1r (if |r|<1)
n=13(15)n=315115=3565=12
and the sum converges because |15|=15<1

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pseudoenergy34
Answered 2021-11-25 Author has 22 answers

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