Linear Recursion and Fibonacci Sequences

Brother Alfred Brousseau

Published 1971 by the Fibonacci Association

You may download the entire volume (size: 19Mb) for free, or individual chapters below.


CONTENTS

Introduction
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Lesson 1:
Recurring Sequences 1
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Lesson 2:
Linear Recursion Relations 8
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Lesson 3:
The Binet Formulas 15
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Lesson 4:
Second-Order Linear Recursion Relations 21
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Lesson 5:
Recursion Relations of Higher Order 28
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Lesson 6:
Combining Linear Recursion Relations 35
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Lesson 7:
Analyzing Linear Recursion Sequences 41
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Lesson 8:
Asymptotic Ratios in Recursion Relations 47
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Answers to Problems 55
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