Let n be a positive integer, and consider the recursive sequence ao = 1, a1 = 1 and for n > 1, An+1 An+1 = an + an-1· Let bn for all n > 0. Express b, in terms of b,-ı for n > 1. As well, an %3| show 1< b, < 2 for all n > 0. Suppose the sequence {bn}ı in Question 6 converges to L. Find the value of L.
Let n be a positive integer, and consider the recursive sequence ao = 1, a1 = 1 and for n > 1, An+1 An+1 = an + an-1· Let bn for all n > 0. Express b, in terms of b,-ı for n > 1. As well, an %3| show 1< b, < 2 for all n > 0. Suppose the sequence {bn}ı in Question 6 converges to L. Find the value of L.
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 72E
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