Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly decreasing. +00 n 5n-4)=1 strictly decreasing strictly increasing : strictly decreasing strictly decreasing antlan = 4 (5n - 4)(5n + 1) 4 (5n − 4)(5n + 1)' 4 (5n+ 4)(5n-1) 1 4)(5n+4) (5n- 4 (5n+4)(5n-1) : strictly increasing

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly decreasing.
+00
n
5n-4)=1
strictly decreasing
strictly increasing
Antlan =
4
(5n - 4)(5n + 1)
4
(5n − 4)(5n + 1)'
4
(5n + 4)(5n − 1)
1
(5n-
4)(5n+4)
4
(5n+4)(5n-1)
strictly decreasing
strictly decreasing
: strictly increasing
Transcribed Image Text:Use the difference anti-an to show that the given sequence {a} is strictly increasing or strictly decreasing. +00 n 5n-4)=1 strictly decreasing strictly increasing Antlan = 4 (5n - 4)(5n + 1) 4 (5n − 4)(5n + 1)' 4 (5n + 4)(5n − 1) 1 (5n- 4)(5n+4) 4 (5n+4)(5n-1) strictly decreasing strictly decreasing : strictly increasing
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