5. (a) Briefly explain why each of the series below either converges or diverges. (-1¹-1 1/2 0 n=1 n H Σ(-1)" . n=0 3n² +1 (b) Looking at part (a), find s20 and $21 for the series that converges. (c) How is the sum of a convergent alternating series related to $20 and $21?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter7: Exponents And Exponential Functions
Section7.9: Geometric Sequences As Exponential Functions
Problem 26PPS
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NUMBER 5 part (b). Step by step with small along explanation.
5. (a) Briefly explain why each of the series below either converges or diverges.
(-1)"-1
1/2
W
n=1
n
I
00
Σ(-1)" ..
n=0
n²
3n² +1
(b) Looking at part (a), find s20 and $21 for the series that converges.
(c) How is the sum of a convergent alternating series related to $20 and $21?
Transcribed Image Text:5. (a) Briefly explain why each of the series below either converges or diverges. (-1)"-1 1/2 W n=1 n I 00 Σ(-1)" .. n=0 n² 3n² +1 (b) Looking at part (a), find s20 and $21 for the series that converges. (c) How is the sum of a convergent alternating series related to $20 and $21?
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