Use the difference an+1 - A, to show that the given sequence {an } is strictly increasing or strictly decreasing. n 7n – 6S - n=1 An+1 - an = 1 strictly decreasing (7п — 6)(7n + 6) 6. (7n + 6)(7n – 1)' ; strictly increasing 6. strictly decreasing (7п — 6)(7n + 1)" 6. ; strictly increasing (7n – 6)(7n + 1) 6. ; strictly decreasing (7n + 6)(7n – 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
- A, to show that the given sequence {an } is strictly increasing or strictly decreasing.
n
7n – 6S
-
n=1
An+1 - an =
1
strictly decreasing
(7п — 6)(7n + 6)
6.
(7n + 6)(7n – 1)'
; strictly increasing
6.
strictly decreasing
(7п — 6)(7n + 1)"
6.
; strictly increasing
(7n – 6)(7n + 1)
6.
; strictly decreasing
(7n + 6)(7n – 1)'
Transcribed Image Text:Use the difference an+1 - A, to show that the given sequence {an } is strictly increasing or strictly decreasing. n 7n – 6S - n=1 An+1 - an = 1 strictly decreasing (7п — 6)(7n + 6) 6. (7n + 6)(7n – 1)' ; strictly increasing 6. strictly decreasing (7п — 6)(7n + 1)" 6. ; strictly increasing (7n – 6)(7n + 1) 6. ; strictly decreasing (7n + 6)(7n – 1)'
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