Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictly decreasing. 10n – 9 S n=1 An+1 - an = 1 ; strictly decreasing (10n – 9)(10n + 9)' 9 ; strictly increasing (10п — 9)(10п + 1) 9 ;strictly decreasing (10n + 9)(10n – 1)' 9 strictly increasing (10п + 9)(10n — 1)" 9 ; strictly decreasing (10n – 9)(10n + 1)'

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictly decreasing.
10n – 9 S n=1
An+1 - an =
1
; strictly decreasing
(10n – 9)(10n + 9)'
9
; strictly increasing
(10п — 9)(10п + 1)
9
;strictly decreasing
(10n + 9)(10n – 1)'
9
strictly increasing
(10п + 9)(10n — 1)"
9
; strictly decreasing
(10п — 9)(10п + 1)*
Transcribed Image Text:Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictly decreasing. 10n – 9 S n=1 An+1 - an = 1 ; strictly decreasing (10n – 9)(10n + 9)' 9 ; strictly increasing (10п — 9)(10п + 1) 9 ;strictly decreasing (10n + 9)(10n – 1)' 9 strictly increasing (10п + 9)(10n — 1)" 9 ; strictly decreasing (10п — 9)(10п + 1)*
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