Factor the difference an+1 an to show that the given sequence {an} is strictly increasing or strictly decreasing. п 15n + 10 J n=1 An+1 - an = 10 ; strictly increasing (15n – 10)(15n + 25) 10 strictly decreasing (15n — 10)(15п -25) 10 strictly decreasing (15n + 10)(15n + 25)' 10 ; strictly increasing (15n + 10)(15n + 25)' 15 ;strictly increasing (15n + 10)(15n + 25)'

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Factor the difference an+1
an to show that the given sequence {an} is strictly increasing or strictly decreasing.
п
15n + 10 J n=1
An+1 - an =
10
; strictly increasing
(15n – 10)(15n + 25)'
10
strictly decreasing
(15n — 10)(15п -25)
10
strictly decreasing
(15n + 10)(15n + 25)'
10
; strictly increasing
(15n + 10)(15n + 25)'
15
;strictly increasing
(15n + 10)(15n + 25)'
Transcribed Image Text:Factor the difference an+1 an to show that the given sequence {an} is strictly increasing or strictly decreasing. п 15n + 10 J n=1 An+1 - an = 10 ; strictly increasing (15n – 10)(15n + 25)' 10 strictly decreasing (15n — 10)(15п -25) 10 strictly decreasing (15n + 10)(15n + 25)' 10 ; strictly increasing (15n + 10)(15n + 25)' 15 ;strictly increasing (15n + 10)(15n + 25)'
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