Use the difference an+l a, to show that the given sequence {a,) is strictly increasing or strictly decreasing. 11n – 10 Sn=1 an+l - an = 10 strictly increasing (11n – 10)(11n + 1)' 1 ;strictly decreasing (11n – 10)(11n + 10)' 10 strictly increasing (11n + 10)(11n – 1)' 10 ; strictly decreasing (11n + 10)(11n – 1)' 10 strictly decreasing (11n – 10)(11n + 1)'
Use the difference an+l a, to show that the given sequence {a,) is strictly increasing or strictly decreasing. 11n – 10 Sn=1 an+l - an = 10 strictly increasing (11n – 10)(11n + 1)' 1 ;strictly decreasing (11n – 10)(11n + 10)' 10 strictly increasing (11n + 10)(11n – 1)' 10 ; strictly decreasing (11n + 10)(11n – 1)' 10 strictly decreasing (11n – 10)(11n + 1)'
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 30E
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