Use the difference an+1 – an to show that the given sequence {a, } is strictly increasing or strictly decreasing. n +2 5n – 4 In=1 аn+1 — а, — 4 :strictly increasing (5n + 4)(5n – 1)' 1 strictly decreasing (5n – 4)(5n + 4) 4 ;strictly increasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n + 4)(5n – 1)' |

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 4E: (a) The nth partial sum of a geometric sequence an=arn1 is given by Sn=. (b) The series...
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Use the difference a„+1
decreasing.
n +0
5n – 4 J n=1
an to show that the given sequence {an } is strictly increasing or strictly
An+1 - an =
4
strictly increasing
(5n + 4)(5n – 1)'
1
; strictly decreasing
(5n – 4)(5n + 4)
4
strictly increasing
(5n – 4)(5n + 1)'
4
; strictly decreasing
(5n – 4)(5n + 1)'
4
strictly decreasing
(5n + 4)(5n – 1)'
Transcribed Image Text:Use the difference a„+1 decreasing. n +0 5n – 4 J n=1 an to show that the given sequence {an } is strictly increasing or strictly An+1 - an = 4 strictly increasing (5n + 4)(5n – 1)' 1 ; strictly decreasing (5n – 4)(5n + 4) 4 strictly increasing (5n – 4)(5n + 1)' 4 ; strictly decreasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n + 4)(5n – 1)'
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