Let Fi be the Fibonacci numbers as defined in Section 1.2. Prove the following: a. N2i=1 Fi
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Let Fi be the Fibonacci numbers as defined in Section 1.2. Prove the following:
a. ΣN−2i=1 Fi = FN − 2
b. FN < ϕN, with ϕ = (1 + √5)/2
c. Give a precise closed-form expression for FN.
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a Proof is by induction The statement is clearly true for N 1 and N 2 Assume ...View the full answer
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Related Book For 
Data Structures and Algorithm Analysis in Java
ISBN: 978-0132576277
3rd edition
Authors: Mark A. Weiss
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