Use the difference a -a, to show that the given sequence (a,] is strictly increasing or strictly decreasing 3n - 2) d+l - a, = 2. strictly decreasing (3n+2)(3n – 1)' strictly increasing (3n + 2)(3n – 1) 1 strictly decreasing (3n-2)(3n + 2)' strictly increasing (3n- 2(3n + 1)' strictly decreasing (3n- 2)(3n + 1)'

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 1E
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Use the difference a - a, to show that the given sequence (a,) is strictly increasing or strictly decreasing
3n-21
d+l - a, =
2
strictly decreasing
(Зл + 213л - 1)
strictly increasing
(Зл + 213л - 1)
strictly decreasing
(Зл - 243и + 2)
strictly increasing
(3n– 2)(3n + 1)
strictly decreasing
(3n - 2(3n + 1)
Transcribed Image Text:Use the difference a - a, to show that the given sequence (a,) is strictly increasing or strictly decreasing 3n-21 d+l - a, = 2 strictly decreasing (Зл + 213л - 1) strictly increasing (Зл + 213л - 1) strictly decreasing (Зл - 243и + 2) strictly increasing (3n– 2)(3n + 1) strictly decreasing (3n - 2(3n + 1)
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