Can you please solve Q7 Thank you

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.1: Sequences And Their Notations
Problem 69SE: Find a recursive formula for the sequence 1,0,1,1,0,1,1,0,1,1,0,1,1,... (Hint: find a pattern for an...
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Can you please solve Q7

Thank you

6. Let n be a positive integer, and consider the recursive sequence ao = 1, a1 = 1 and for n > 1,
An+1
for all n > 0. Express b, in terms of bn-1 for n > 1. As well,
An
An+1
An + an-1. Let bn
show 1 < b, < 2 for all n > 0.
7. Suppose the sequence {b,n}n=1 in Question 6 converges to L. Find the value of L.
Transcribed Image Text:6. Let n be a positive integer, and consider the recursive sequence ao = 1, a1 = 1 and for n > 1, An+1 for all n > 0. Express b, in terms of bn-1 for n > 1. As well, An An+1 An + an-1. Let bn show 1 < b, < 2 for all n > 0. 7. Suppose the sequence {b,n}n=1 in Question 6 converges to L. Find the value of L.
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