Factor the difference an+1 – a, to show that the given sequence {an} is strictly increasing or strictly decrea n 13n + 4 J n=1 An+1 – An = 4 ; strictly decreasing (13п — 4)(13п — 17)" - 13 ; strictly increasing (13n + 4)(13n + 17)' 4 strictly decreasing (13n + 4)(13n + 17)' 4 strictly increasing (13п — 4)(13п + 17) 4 strictly increasing (13n + 4)(13n + 17)'

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
– an to show that the given sequence {an} is strictly increasing or strictly decrea
n
+00
13n + 4 J n=l
аn+1 — ап —
4
; strictly decreasing
(13п — 4)(13п — 17)
13
-; strictly increasing
(13n + 4)(13n + 17))
4
; strictly decreasing
(13п + 4)(13п + 17)"
4
; strictly increasing
(13п — 4)(13п+ 17)
4
-; strictly increasing
(13n + 4)(13n + 17)'
Transcribed Image Text:Factor the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly decrea n +00 13n + 4 J n=l аn+1 — ап — 4 ; strictly decreasing (13п — 4)(13п — 17) 13 -; strictly increasing (13n + 4)(13n + 17)) 4 ; strictly decreasing (13п + 4)(13п + 17)" 4 ; strictly increasing (13п — 4)(13п+ 17) 4 -; strictly increasing (13n + 4)(13n + 17)'
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