IV and V pelase 2. (Series) Determine if the following series converge or diverge. If it converges, find the sum.i. Σii.n=0n=13n+12n3n23(n + 1) 2iii. Σn=1COSпп2iv. ΣV.n=1n=10-40n(2n − 1)2 (2n+1)2210n(Hint: use partial fractions)

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Answered: iv. V. M n=1 Σ n=10 40n (2n-1)2 (2n+1)2…

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iv. V. M n=1 Σ n=10 40n (2n-1)2 (2n+1)2 2 10n (Hint: use partial fractions)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.4: Series And Their Notations

Problem 11TI: Determine whether the sum of the infinite series is defined. k=115(0.3)k

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Question

IV and V pelase

2. (Series) Determine if the following series converge or diverge. If it converges, find the sum.
i. Σ
ii.
n=0
n=1
3n+1
2n
3
n2
3
(n + 1) 2
iii. Σ
n=1
COS
пп
2
iv. Σ
V.
n=1
n=10
-
40n
(2n − 1)2 (2n+1)2
2
10n
(Hint: use partial fractions)

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Step 1: Result used

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Step 2: Use limit comparison test

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Step 3: Use partial fraction decomposition

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Step 4: Find sum of series

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Step 5: Use concept of G. P. Series

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