4" – 2" Determine whether the series 2 converges or diverges. If it converges, find its sum. n=0 ... Select the correct choice below and, if necessary, fill in the answer box within your choice. '2 -י4 O A. The series diverges because lim #0 or fails to exist. 5° The series converges because it is the difference between two geometric series, each with r<1. The sum of the series is OB. (Type an integer or a simplified fraction.) -2" = 0. The sum of the series is The series converges because lim 5" (Type an integer or a simplified fraction.) Oc. n-00 O D. The series diverges because it is the difference between two geometric series, at least one with r21.

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
00
4" - 2"
Determine whether the series >
converges or diverges. If it converges, find its sum.
5"
n = 0
Select the correct choice below and, if necessary, fill in the answer box within your choice.
- 2"
#0 or fails to exist.
5n
n
4
A. The series diverges because lim
The series converges because it is the difference between two geometric series, each with r < 1. The sum of the series is
В.
(Type an integer or a simplified fraction.)
4" - 2"
n
= 0. The sum of the series is
The series converges because lim
5"
(Type an integer or a simplified fraction.)
O D. The series diverges because it is the difference between two geometric series, at least one with r 21.
Transcribed Image Text:00 4" - 2" Determine whether the series > converges or diverges. If it converges, find its sum. 5" n = 0 Select the correct choice below and, if necessary, fill in the answer box within your choice. - 2" #0 or fails to exist. 5n n 4 A. The series diverges because lim The series converges because it is the difference between two geometric series, each with r < 1. The sum of the series is В. (Type an integer or a simplified fraction.) 4" - 2" n = 0. The sum of the series is The series converges because lim 5" (Type an integer or a simplified fraction.) O D. The series diverges because it is the difference between two geometric series, at least one with r 21.
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