Use the difference an+1 – an to show that the given sequence {a, } is strictly increasing or strictly decreasing. n +2 5n – 4 In=1 аn+1 — а, — 4 :strictly increasing (5n + 4)(5n – 1)' 1 strictly decreasing (5n – 4)(5n + 4) 4 ;strictly increasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n + 4)(5n – 1)' |
Use the difference an+1 – an to show that the given sequence {a, } is strictly increasing or strictly decreasing. n +2 5n – 4 In=1 аn+1 — а, — 4 :strictly increasing (5n + 4)(5n – 1)' 1 strictly decreasing (5n – 4)(5n + 4) 4 ;strictly increasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n – 4)(5n + 1)' 4 strictly decreasing (5n + 4)(5n – 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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