We want to determine if the sequence n 4+6n is monotonic. Using the difference test we get that sn+1 – Sn = < v 0 - Hence the sequence is monotone decreasing The smallest number that s, is less than for every n is hence lim Sn = n-00

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.1: Sequences
Problem 74E: Which terms of the sequence are negative when the nth term of the sequence is an=(1)n(n+2)?
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We want to determine if the sequence 41 6n
is monotonic.
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
Transcribed Image Text:We want to determine if the sequence 41 6n is monotonic. 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
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