Use the difference a+1 – an to show that the given sequence {an } is strictly increasing or strictly decreasing. n 5n - 4 ) n=1 ар+1 — ап 3 4 ; strictly decreasing (5n – 4)(5n + 1)' 4 strictly increasing (5n + 4)(5n – 1) 4 -; strictly increasing (5n – 4)(5n + 1) 4 (5n + 4)(5n ; strictly decreasing - 1) 1 ; strictly decreasing (5n – 4)(5n + 4)' -

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 {an} is strictly increasing or strictly decreasing.
+oo
n
5n
- 4) n=1
An+1 - an =
4
; strictly decreasing
(5n – 4)(5n + 1)'
4
(5n + 4)(5n
strictly increasing
1)
4
strictly increasing
(5n – 4)(5n + 1)
4
(5n + 4)(5n
strictly decreasing
1)
1
; strictly decreasing
(5n – 4)(5n + 4)
Transcribed Image Text:Use the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decreasing. +oo n 5n - 4) n=1 An+1 - an = 4 ; strictly decreasing (5n – 4)(5n + 1)' 4 (5n + 4)(5n strictly increasing 1) 4 strictly increasing (5n – 4)(5n + 1) 4 (5n + 4)(5n strictly decreasing 1) 1 ; strictly decreasing (5n – 4)(5n + 4)
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