Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges. k 8k° +k E (- 1)* 3 7k° +k+5 k = 1 .... Select the correct choice below and fill in the answer box within your choice. (Type an exact answer in simplified form.) A. The series converges absolutely by the Ratio Test becauser = %3D B. Both tests are inconclusive because r= and p= O C. The series diverges by the Root Test becausep=
Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges. k 8k° +k E (- 1)* 3 7k° +k+5 k = 1 .... Select the correct choice below and fill in the answer box within your choice. (Type an exact answer in simplified form.) A. The series converges absolutely by the Ratio Test becauser = %3D B. Both tests are inconclusive because r= and p= O C. The series diverges by the Root Test becausep=
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Question
![Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges.
3
8k° +k
00
(- 1)**
7k° +k+5
k = 1
Select the correct choice below and fill in the answer box within your choice.
(Type an exact answer in simplified form.)
A. The series converges absolutely by the Ratio Test because r=
O B. Both tests are inconclusive because r=
and p=
O C. The series diverges by the Root Test because p=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbae19ae-fe97-42ad-a9d0-6a05eafe9580%2F6618e070-d56b-43ec-b23a-4dce966f3b7c%2Fvpl6cev_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Ratio Test or the Root Test to determine whether the following series converges absolutely or diverges.
3
8k° +k
00
(- 1)**
7k° +k+5
k = 1
Select the correct choice below and fill in the answer box within your choice.
(Type an exact answer in simplified form.)
A. The series converges absolutely by the Ratio Test because r=
O B. Both tests are inconclusive because r=
and p=
O C. The series diverges by the Root Test because p=
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