(d) Let an = 6n²+ n-1 ntn and bn √n n+1' (i) Determine whether {an} is convergent or divergent. Explain briefly. (ii) Determine whether (-1)"-¹6, is convergent or divergent. Explain briefly. =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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(d) Let an
6n²+ n-1
ntn
and bn =
√n
n+1'
(i) Determine whether {an} is convergent or divergent. Explain briefly.
(ii) Determine whether Σ(-1)n-¹b, is convergent or divergent. Explain briefly.
n=1
Transcribed Image Text:(d) Let an 6n²+ n-1 ntn and bn = √n n+1' (i) Determine whether {an} is convergent or divergent. Explain briefly. (ii) Determine whether Σ(-1)n-¹b, is convergent or divergent. Explain briefly. n=1
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