sequence of numbers A,, n = 1, 2, 3, ... is defined as 2n - 3 2n 2 and for each n ≥ 2, An: = en prove that 4, <1, n ≥ 1. A, An-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 40E
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A sequence of numbers A,,, n = 1, 2, 3, ... is defined as follows:
2n
3
=
44₁=1/12/2 and for each n ≥ 2, An
Then prove that 4, <1, n ≥ 1.
r = 1
2n
An-1
Transcribed Image Text:A sequence of numbers A,,, n = 1, 2, 3, ... is defined as follows: 2n 3 = 44₁=1/12/2 and for each n ≥ 2, An Then prove that 4, <1, n ≥ 1. r = 1 2n An-1
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