Find a formula for the n" partial sum of the series 2 + + + + ... and use it to find the series' sum if the series converges. + ...+ 25 125 5h-1 The formula for the n partial sum, s,, of the series is. If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The series' sum is (Type an integer or a simplified fraction.) O B. The series diverges.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section: Chapter Questions
Problem 6CC
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Question 11
2
Find a formula for the n" partial sum of the series 2 + +
2
th
5h-1
+..• and use it to find the series' sum if the series converges.
5
25
125
The formula for the n" partial sum, s,, of the series is.
If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice.
O A. The series converges. The series' sum is
(Type an integer or a simplified fraction.)
O B. The series diverges.
Transcribed Image Text:2 Find a formula for the n" partial sum of the series 2 + + 2 th 5h-1 +..• and use it to find the series' sum if the series converges. 5 25 125 The formula for the n" partial sum, s,, of the series is. If the series converges, what is the series' sum? Select the correct choice below and fill in any answer boxes within your choice. O A. The series converges. The series' sum is (Type an integer or a simplified fraction.) O B. The series diverges.
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