Use the Alternating Series Test to determine whether the series converges. k 3 3k +1 Σ 1-1 +1. k=1 .... Let a represent the magnitude of the terms of the given series and f(x) be the function that generates ak. Determine whether terms of the series are nonincreasing in magnitude. LCUL I
Use the Alternating Series Test to determine whether the series converges. k 3 3k +1 Σ 1-1 +1. k=1 .... Let a represent the magnitude of the terms of the given series and f(x) be the function that generates ak. Determine whether terms of the series are nonincreasing in magnitude. LCUL I
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Transcribed Image Text:Use the Alternating Series Test to determine whether the series converges.
Σ(-1)+1.
k=1
k
3k³ +1
Example
Let a represent the magnitude of the terms of the given series and f(x) be the function that generates ak. Determine whether the
terms of the series are nonincreasing in magnitude.
Select the correct choice below and fill in the answer box in your choice.
OA.
The terms of the series are increasing in magnitude. Since f'(x) =
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the terms ak increase for k ≥ 1.
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