Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. +00 12n +2J n=l An+1 - an = 2 strictly decreasing (12n – 2)(12n – 14)' 12 strictly increasing (12n + 2)(12n + 14) 2 ; strictly increasing (12n + 2)(12n + 14) 2 ; strictly decreasing (12n + 2)(12n + 14)' 2 strictly increasing (12n – 2)(12n + 14)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.1: Sequences And Summation Notation
Problem 32E
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Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing.
(
+00
12n + 2) n=l
An+1 - an =
2
(12n – 2)(12n –
; strictly decreasing
- 14)'
12
; strictly increasing
(12n + 2)(12n + 14)
2
strictly increasing
(12n + 2)(12n+ 14)
2
; strictly decreasing
(12n + 2)(12n + 14)'
2
strictly increasing
(12n – 2)(12n + 14)'
Transcribed Image Text:Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. ( +00 12n + 2) n=l An+1 - an = 2 (12n – 2)(12n – ; strictly decreasing - 14)' 12 ; strictly increasing (12n + 2)(12n + 14) 2 strictly increasing (12n + 2)(12n+ 14) 2 ; strictly decreasing (12n + 2)(12n + 14)' 2 strictly increasing (12n – 2)(12n + 14)'
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