(12) Consider the three infinite series given below: (-1)^-1 i) E 5n (n+1)(n²–1) ii) E 4n° – 2n +1 10(2)**2 32n+1 iii) n=1 n=1 n=0 a) Which one of these series diverges? Justify your answer. b) Identify the alternating series and verify that it converges. c) One of these series has a sum that may be computed; find the sum of this series.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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(12) Consider the three infinite series given below:
(-1)"-1
ř (n+1)(n²–1)
ii) E
4n° – 2n +1
10(2)**2
32n+1
i) E
5n
iii)
n=1
n=1
n=0
a) Which one of these series diverges? Justify your answer.
b) Identify the alternating series and verify that it converges.
c) One of these series has a sum that may be computed; find the sum of this series.
Transcribed Image Text:(12) Consider the three infinite series given below: (-1)"-1 ř (n+1)(n²–1) ii) E 4n° – 2n +1 10(2)**2 32n+1 i) E 5n iii) n=1 n=1 n=0 a) Which one of these series diverges? Justify your answer. b) Identify the alternating series and verify that it converges. c) One of these series has a sum that may be computed; find the sum of this series.
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