We want to use the Alternating Series Test to determine if the series: k3 E (- 1)*+1. Vk6 + 6 k=1 converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alter O The Alternating Series Test does not apply because the absolute value of the terms do i 0. O The Alternating Series Test does not apply because the absolute value of the terms are decreasing, but the series does converge.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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We want to use the Alternating Series Test to determine if the series:
k3
E (- 1)*+1.
Vk6 + 6
k=1
converges or diverges.
We can conclude that:
O The series converges by the Alternating Series Test.
O The series diverges by the Alternating Series Test.
The Alternating Series Test does not apply because the terms of the series do not alternate.
O The Alternating Series Test does not apply because the absolute value of the terms do not approach
0.
The Alternating Series Test does not apply because the absolute value of the terms are not
decreasing, but the series does converge.
Transcribed Image Text:We want to use the Alternating Series Test to determine if the series: k3 E (- 1)*+1. Vk6 + 6 k=1 converges or diverges. We can conclude that: O The series converges by the Alternating Series Test. O The series diverges by the Alternating Series Test. The Alternating Series Test does not apply because the terms of the series do not alternate. O The Alternating Series Test does not apply because the absolute value of the terms do not approach 0. The Alternating Series Test does not apply because the absolute value of the terms are not decreasing, but the series does converge.
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