Decide whether the series converge or diverge. (a) k=0 k! 3k+1 (b) (k+4 k=0 (c) Σ k=0 (α) Σ 3n 7n +21 k-1 2k3 + k² k • Σ (+-)* (e) k=1 1 k

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 10E
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Decide whether the series converge or diverge.
(a)
k=0
k!
3k+1
(b) (k+4
k=0
(c) Σ
k=0
(α) Σ
3n
7n +21
k-1
2k3 + k²
k
• Σ (+-)*
(e)
k=1
1
k
Transcribed Image Text:Decide whether the series converge or diverge. (a) k=0 k! 3k+1 (b) (k+4 k=0 (c) Σ k=0 (α) Σ 3n 7n +21 k-1 2k3 + k² k • Σ (+-)* (e) k=1 1 k
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