2. (Series) Determine if the following series converge or diverge. If it converges, find the sum. i. Σ n=0 8 ii. Σ n=1 3n+1 2n 3 n² 3 (n + 1)2 iii. n=1 COS пп 22 iv. Σ n=1 V. n=10 40n (2n-1)2 (2n+1)2 10n ངྑྱཾ སདྡཾ (Hint: use partial fractions)
2. (Series) Determine if the following series converge or diverge. If it converges, find the sum. i. Σ n=0 8 ii. Σ n=1 3n+1 2n 3 n² 3 (n + 1)2 iii. n=1 COS пп 22 iv. Σ n=1 V. n=10 40n (2n-1)2 (2n+1)2 10n ངྑྱཾ སདྡཾ (Hint: use partial fractions)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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Iv and V please
Transcribed Image Text:2. (Series) Determine if the following series converge or diverge. If it converges, find the sum.
i. ☑
Σ
ii. Σ
iii.
3n+1
2n
3
n²
-
3
(n + 1) 2
IM IM IM IM³ ¡M³
V.
Σ
n=10
2
10n
n=1
n=1
COS
(2n
ηπ
2
—
40n
1)2 (2n+1)2
iv.
(Hint: use partial fractions)
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