Use the difference an+1 – an to show that the given sequence {a,} is strictly increasing or strictly decreasing. in 6n 5 J n=1 An+1 – An = 5 ;strictly decreasing (6n + 5)(6n – 1)' strictly increasing (6n + 5)(6n – 1) strictly decreasing (6n – 5)(6n + 1)' 1 strictly decreasing (6n – 5)(6n + 5)' 5 ;strictly increasing (6n – 5)(6n + 1)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 1E
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Use the difference an+1 – An to show that the given sequence {a,}is strictly increasing or strictly decreasing.
n
too
6n – 5 J n=1
-
An+1 – An =
- an
5.
(6n + 5)(6n – 1)
; strictly decreasing
5.
(бn + 5)(6n —1)
strictly increasing
strictly decreasing
(6n –5)(6n + 1)
1
strictly decreasing
(6n – 5)(6n + 5)
strictly increasing
(6n-5)(6n + 1)
Transcribed Image Text:Use the difference an+1 – An to show that the given sequence {a,}is strictly increasing or strictly decreasing. n too 6n – 5 J n=1 - An+1 – An = - an 5. (6n + 5)(6n – 1) ; strictly decreasing 5. (бn + 5)(6n —1) strictly increasing strictly decreasing (6n –5)(6n + 1) 1 strictly decreasing (6n – 5)(6n + 5) strictly increasing (6n-5)(6n + 1)
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