18n + 10 S=1 Factor the difference an+l a, to show that the given sequence (a, } is strictly increasing or strictly decreasing. n 18n + 10 S n=1 an+1 - an = 10 strictly decreasing (18n + 10)(18n + 28)' 10 strictly decreasing (18n – 10)(18n – 28)' - 18 strictly increasing (18n + 10)(18n + 28)' 10 strictly increasing (18n + 10)(18n + 28)' 10 strictly increasing (18n – 10)(187 + 28)'

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.1: Sequences And Summation Notation
Problem 5E
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18n + 10 J n=1
Factor the difference am+1 – an to show that the given sequence {a,}is strictly increasing or strictly decreasing.
an+1 - an =
10
; strictly decreasing
(18n + 10)(18n + 28)'
10
; strictly decreasing
(18n – 10)(18n – 28)
18
; strictly increasing
(18n + 10)(18n + 28)'
10
; strictly increasing
(18n + 10)(18n + 28)'
10
strictly increasing
(18n – 10)(18n + 28)'
Transcribed Image Text:18n + 10 J n=1 Factor the difference am+1 – an to show that the given sequence {a,}is strictly increasing or strictly decreasing. an+1 - an = 10 ; strictly decreasing (18n + 10)(18n + 28)' 10 ; strictly decreasing (18n – 10)(18n – 28) 18 ; strictly increasing (18n + 10)(18n + 28)' 10 ; strictly increasing (18n + 10)(18n + 28)' 10 strictly increasing (18n – 10)(18n + 28)'
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