We want to use the Alternating Series Test to determine if the series: Σ (-1) +2 k=4 k³ √k 8 +8 converges or diverges. We can conclude that: O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. The Alternating Series Test does not apply because the terms of the series do not alternate. The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. The series diverges by the Alternating Series Test.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 28RE: A ball has a bounce-back ratio 35 . of the height of the previous bounce. Write a series...
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We want to use the Alternating Series Test to determine if
the series:
Σ (-1) +2
k=4
k³
√k 8 +8
converges or diverges.
We can conclude that:
O The Alternating Series Test does not apply because
the absolute value of the terms are not decreasing.
The Alternating Series Test does not apply because
the terms of the series do not alternate.
The series converges by the Alternating Series Test.
The Alternating Series Test does not apply because
the absolute value of the terms do not approach 0,
and the series diverges for the same reason.
The series diverges by the Alternating Series Test.
Transcribed Image Text:We want to use the Alternating Series Test to determine if the series: Σ (-1) +2 k=4 k³ √k 8 +8 converges or diverges. We can conclude that: O The Alternating Series Test does not apply because the absolute value of the terms are not decreasing. The Alternating Series Test does not apply because the terms of the series do not alternate. The series converges by the Alternating Series Test. The Alternating Series Test does not apply because the absolute value of the terms do not approach 0, and the series diverges for the same reason. The series diverges by the Alternating Series Test.
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