Let the sequence 9n be recursively defined by go = 0, 91 = 1, 9n = 9n-1 +29n-2 for n ≥ 2. Show that lim 9 = 00. 84x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 55E
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Let the sequence g, be recursively defined by go = 0, g1 = 1, gn
In-1 + 2gn-2 for n > 2. Show that lim gn = x.
Transcribed Image Text:Let the sequence g, be recursively defined by go = 0, g1 = 1, gn In-1 + 2gn-2 for n > 2. Show that lim gn = x.
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