15n + 8 J n=1 Factor the difference an+1 – an to show that the given sequence {a, } is strictly increasing or strictly decreasing. n 15n + 8 J n=1 An+1 - an = 8 ; strictly decreasing (15п — 8)(15n — 23) 8 ; strictly increasing (15n + 8)(15n + 23)' 8 strictly decreasing (15n + 8)(15n + 23)' 15 strictly increasing (15n + 8)(15n + 23)*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 2E
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Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing.
n
15n + 8 J n=1
An+1
8
strictly decreasing
(15n – 8)(15n – 23)'
8
strictly increasing
(15n + 8)(15n + 23)'
8
:strictly decreasing
(15n + 8)(15n + 23)'
15
; strictly increasing
(15n + 8)(15n + 23)'
8
;strictly increasing
(15n – 8)(15n + 23)
Transcribed Image Text:Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. n 15n + 8 J n=1 An+1 8 strictly decreasing (15n – 8)(15n – 23)' 8 strictly increasing (15n + 8)(15n + 23)' 8 :strictly decreasing (15n + 8)(15n + 23)' 15 ; strictly increasing (15n + 8)(15n + 23)' 8 ;strictly increasing (15n – 8)(15n + 23)
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