Determine whether the following series converges. Justify your answer.(- 1)*KΣ9k5k= 1+ 1Select the correct choice below and fill in the answer box to complete your choice.(Type an exact answer.)O A. The series is a geometric series with common ratiogeometric series.so the series converges by the properties of aO B. The series is a geometric series with common ratioso the series diverges by the properties of ageometric series.O C. The terms of the series are alternating and the limit of their absolute values isso the seriesconverges by the Alternating Series Test.O D. The limit of the terms of the series is, so the series diverges by the Divergence Test.O E. The terms of the series are alternating and the limit of their absolute values isso the seriesdiverges by the Alternating Series Test.OF. The series is a p-series with p=so the series converges by the properties of a p-series.

The given series is an alternating series and not a geometric series. So we will ignore the…

Answered: Determine whether the following series…

Math

Calculus

Determine whether the following series converges. Justify your answer. (- 1)*k Σ 9k +1 00 k= 1

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Sequences And Series

Section8.3: Geometric Sequences

Problem 97E

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Question

Determine whether the following series converges. Justify your answer.
(- 1)*K
Σ
9k5
k= 1
+ 1
Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
O A. The series is a geometric series with common ratio
geometric series.
so the series converges by the properties of a
O B. The series is a geometric series with common ratio
so the series diverges by the properties of a
geometric series.
O C. The terms of the series are alternating and the limit of their absolute values is
so the series
converges by the Alternating Series Test.
O D. The limit of the terms of the series is, so the series diverges by the Divergence Test.
O E. The terms of the series are alternating and the limit of their absolute values is
so the series
diverges by the Alternating Series Test.
OF. The series is a p-series with p=
so the series converges by the properties of a p-series.

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