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Prove for every positive integer n and the Fibonacci numbers F1, F2, . . . that Fn+6 =

Chapter 4, Problem 28

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QUESTION:

Prove for every positive integer n and the Fibonacci numbers F1, F2, . . . that Fn+6 = 4Fn+3 +Fn.

Questions & Answers

QUESTION:

Prove for every positive integer n and the Fibonacci numbers F1, F2, . . . that Fn+6 = 4Fn+3 +Fn.

ANSWER:

Step 1 of 2

The given property   for every positive integer, can be proved using mathematical induction.

Basis step:

To prove the property is true for the base case. Consider

Hence the property is true for the base case.

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