Consider the alternating series (-1)"bn with n=0 1 bn = 1+ 8n4 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 → x0. lim bn = n00 %3| (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.
Consider the alternating series (-1)"bn with n=0 1 bn = 1+ 8n4 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 → x0. lim bn = n00 %3| (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.
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Transcribed Image Text:Consider the alternating series (-1)"bn with
n=0
1
bn
1+8n4
Is the sequence {bn} increasing or decreasing?
O Increasing (bn+1> bn)
O Decreasing (bn+1 < bn)
(b) Determine the limit of the sequence {bn} as n →∞
lim bn =
n 00
(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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