Decide whether the following sequences converge or diverge where a is a positive integer. Explain your reasons clearly. (a) {a, 0, a, 0, a,...} (b) 2 n² {} 'n³ +8n (c) {bn}, where bn −1)" n = a - n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 82E
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Decide whether the following sequences converge or diverge where a is a
positive integer. Explain your reasons clearly.
(a) {a, 0, a, 0, a,...}
(b)
2
n²
{}
'n³ +8n
(c) {bn}, where bn
−1)"
n
= a -
n
Transcribed Image Text:Decide whether the following sequences converge or diverge where a is a positive integer. Explain your reasons clearly. (a) {a, 0, a, 0, a,...} (b) 2 n² {} 'n³ +8n (c) {bn}, where bn −1)" n = a - n
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