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Factor the difference an+1 - a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. n 1 4n + 2J n=1 аn+1 — а, — 2 ; strictly increasing (4п + 2)(4n + 6) 2 ; strictly increasing (4n – 2)(4n + 6)' 2 ; strictly decreasing (4n + 2)(4n + 6)' 4 strictly increasing (4n + 2)(4n + 6) ; strictly decreasing (4п — 2)(4n — 6)"

Factor the difference an+1 - a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. n 1 4n + 2J n=1 аn+1 — а, — 2 ; strictly increasing (4п + 2)(4n + 6) 2 ; strictly increasing (4n – 2)(4n + 6)' 2 ; strictly decreasing (4n + 2)(4n + 6)' 4 strictly increasing (4n + 2)(4n + 6) ; strictly decreasing (4п — 2)(4n — 6)"

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 2E
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Factor the difference an+1 - a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. n 1 4n + 2J n=1 аn+1 — а, — 2 ; strictly increasing (4п + 2)(4n + 6) 2 ; strictly increasing (4n – 2)(4n + 6)' 2 ; strictly decreasing (4n + 2)(4n + 6)' 4 strictly increasing (4n + 2)(4n + 6) ; strictly decreasing (4п — 2)(4n — 6)"
Transcribed Image Text:Factor the difference an+1 - a, to show that the given sequence {a,} is strictly increasing or strictly decreasing. n 1 4n + 2J n=1 аn+1 — а, — 2 ; strictly increasing (4п + 2)(4n + 6) 2 ; strictly increasing (4n – 2)(4n + 6)' 2 ; strictly decreasing (4n + 2)(4n + 6)' 4 strictly increasing (4n + 2)(4n + 6) ; strictly decreasing (4п — 2)(4n — 6)"
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