Solved: In Exercises 1318, prove the given property of the

Chapter 3, Problem 18

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QUESTION:

Prove the given property of the Fibonacci numbers directly from the definition.

\(F(n+6)=4 F(n+3)+F(n) \text { for } n \geq 1\)

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QUESTION:

Prove the given property of the Fibonacci numbers directly from the definition.

\(F(n+6)=4 F(n+3)+F(n) \text { for } n \geq 1\)

ANSWER:

Step 1 of 2

The Fibonacci number is defined as:

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