Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 5 5 + + ... + + ... 2.3 3.4 4.5 (n + 1)(n + 2) What is the formula for the nth partial sum of the series? S, = What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer. O A. The sum of the series 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
Section8.3: Geometric Sequences
Problem 4E: (a) The nth partial sum of a geometric sequence an=arn1 is given by Sn=. (b) The series...
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what is the Sn and does it diverge or converge 

Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
5
+
+ -
+ ... +
+...
2.3
3• 4
4 •5
(n + 1)(n + 2)
What is the formula for the nth partial sum of the series?
Sn =0
What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer.
A. The sum of the series is
(Type an integer or a simplified fraction.)
B. The series diverges.
Transcribed Image Text:Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. 5 + + - + ... + +... 2.3 3• 4 4 •5 (n + 1)(n + 2) What is the formula for the nth partial sum of the series? Sn =0 What is the sum of the series? Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. The sum of the series is (Type an integer or a simplified fraction.) B. The series diverges.
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