We want to determine if the sequence is monotonic. Using the difference test we get that sn+1 Sn = v 0 Hence the sequence is monotone decreasing The smallest number that sn is less than for every n is hence lim sn =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 55E
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We want to determine if the sequence
is monotonic.
1+3n
Using the difference test we get that sn+1– Sn =
Hence the sequence is monotone decreasing
The smallest number that sn is less than for every n is
hence lim Sn =
n00
Transcribed Image Text:We want to determine if the sequence is monotonic. 1+3n Using the difference test we get that sn+1– Sn = Hence the sequence is monotone decreasing The smallest number that sn is less than for every n is hence lim Sn = n00
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