2 Find a formula for the n"" partial sum of the series 2+- + 25 2 2 + ... and use it to find the series' sum if the series converges. + +... + 125 5n-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.) B. The series diverges.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2
Find a formula for the n"" partial sum of the series 2 + - +
25
2
2
2
th
+ ... +
and use it to find the series' sum if the series converges.
+
+...
125
5n-1
th
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.
A. The series converges. The series' sum is
(Type an integer or a simplified fraction.)
B. The series diverges.
Transcribed Image Text:2 Find a formula for the n"" partial sum of the series 2 + - + 25 2 2 2 th + ... + and use it to find the series' sum if the series converges. + +... 125 5n-1 th 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. A. The series converges. The series' sum is (Type an integer or a simplified fraction.) B. The series diverges.
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