Use the difference an+1 - an to show that the given sequence {a,} is strictly increasing or strictly decreasing. { 71 4n-3Jn=1 Antl - an = 3 strictly decreasing (4n + 3)(4n – 1)' 3 strictly increasing (4n + 3)(4n – 1)' strictly increasing (4n 3)(4n + 1) 3 strictly decreasing (4n 3)(4n + 1) strictly decreasing (4n 3)(4n+3)
Use the difference an+1 - an to show that the given sequence {a,} is strictly increasing or strictly decreasing. { 71 4n-3Jn=1 Antl - an = 3 strictly decreasing (4n + 3)(4n – 1)' 3 strictly increasing (4n + 3)(4n – 1)' strictly increasing (4n 3)(4n + 1) 3 strictly decreasing (4n 3)(4n + 1) strictly decreasing (4n 3)(4n+3)
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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Transcribed Image Text:Use the difference a+1
an to show that the given sequence {a,} is strictly increasing or strictly decreasing.
4n
3.
(4n + 3)(4n - 1)
3.
(4n + 3)(4n
strictly decreasing
strictly Increasing
- 1)
3.
strictly Increasing
(4n 3)(4n + 1)
3.
(4n-3)(4n+1)
strictly decreasing
rstrictly decreasing
(4n- 3)(4n +3)
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