Factor the difference an+1 – a, to show that the given sequence {a, } is strictly increasing or strictly decreasing. 9n +4 an+1 – an = 4 ; strictly decreasing (9n – 4)(9n – 13) 9. (9n +4)(9n + 13) ; strictly increasing strictly increasing (9n +4)(9n + 13)' ;strictly decreasing (9n +4)(9n + 13)' 4 strictly increasing (9n - 4)(9n + 13)

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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7a This is for my reviewer please help me with the step by step solution and answer, thank you
Factor the difference a,+1 – a, to show that the given sequence {an } is strictly increasing or strictly decreasing.
9n + 4 J n=1
An+1 = An =
4
strictly decreasing
(9n – 4)(9n – 13)
9.
strictly increasing
(9n + 4)(9n + 13)
4
:strictly increasing
(9n +4)(9n + 13)'
4
strictly decreasing
(9n +4)(9n + 13)'
4
strictly increasing
(9n – 4)(9n + 13)
Transcribed Image Text:Factor the difference a,+1 – a, to show that the given sequence {an } is strictly increasing or strictly decreasing. 9n + 4 J n=1 An+1 = An = 4 strictly decreasing (9n – 4)(9n – 13) 9. strictly increasing (9n + 4)(9n + 13) 4 :strictly increasing (9n +4)(9n + 13)' 4 strictly decreasing (9n +4)(9n + 13)' 4 strictly increasing (9n – 4)(9n + 13)
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