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Prove for every positive integer n and the Fibonacci numbers F1, F2, . . . that Fn+6 =
Chapter 4, Problem 28(choose chapter or problem)
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.