Find a formula for the nth partial sum of the series (showing following picture) and use it to find the series' sum if the series converges. The formula for the nth partial sum, sn of the series is (              ) If the series is convergent, what is the series' sum? Select the correct choice below and, if necessary, fill in the answer box complete your choice. A) The series is convergent, and the sum is (               ) B) The series is diverges

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 51E
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Find a formula for the nth partial sum of the series (showing following picture) and use it to find the series' sum if the series converges.

The formula for the nth partial sum, sn of the series is (              )

If the series is convergent, what is the series' sum? Select the correct choice below and, if necessary, fill in the answer box complete your choice.

A) The series is convergent, and the sum is (               )

B) The series is diverges

6 6
6 –
+
5
25
6
+
125
· + (-1)"-1
+
-
...
5n-1
Transcribed Image Text:6 6 6 – + 5 25 6 + 125 · + (-1)"-1 + - ... 5n-1
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