Consider the alternating series (-1)"bn with n=0 1 bn 9+ 5n2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Consider the alternating series (-1)"bn with
n=0
1
bn
9+5n2
(a) Is the sequence {bn} increasing or decreasing?
O Increasing (bn+12 bn)
O Decreasing (bn+1
< bn)
(b) Determine the limit of the sequence {bn}:
as n → 00.
lim bn =
n00
(c) Using the Alternating Series Test, can you conclude that the series is convergent?
O Yes, it is convergent.
O The Alternating Series Test cannot be applied here.
Transcribed Image Text:Consider the alternating series (-1)"bn with n=0 1 bn 9+5n2 (a) Is the sequence {bn} increasing or decreasing? O Increasing (bn+12 bn) O Decreasing (bn+1 < bn) (b) Determine the limit of the sequence {bn}: as n → 00. lim bn = n00 (c) Using the Alternating Series Test, can you conclude that the series is convergent? O Yes, it is convergent. O The Alternating Series Test cannot be applied here.
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