Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictly decreasing. 10n – 9 S n=1 An+1 - an = 1 ; strictly decreasing (10n – 9)(10n + 9)' 9 ; strictly increasing (10п — 9)(10п + 1) 9 ;strictly decreasing (10n + 9)(10n – 1)' 9 strictly increasing (10п + 9)(10n — 1)" 9 ; strictly decreasing (10n – 9)(10n + 1)'
Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictly decreasing. 10n – 9 S n=1 An+1 - an = 1 ; strictly decreasing (10n – 9)(10n + 9)' 9 ; strictly increasing (10п — 9)(10п + 1) 9 ;strictly decreasing (10n + 9)(10n – 1)' 9 strictly increasing (10п + 9)(10n — 1)" 9 ; strictly decreasing (10n – 9)(10n + 1)'
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Sequences And Series
Section8.3: Geometric Sequences
Problem 4E: (a) The nth partial sum of a geometric sequence an=arn1 is given by Sn=. (b) The series...
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