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Exercise 3.1 In Exercises 1318, prove the given property of the Fibonacci numbers directly from the definition. 14. F(n) = 5F(n 4) + 3F(n 5)

Exercise 3.1

In Exercises 1318, prove the given property of the Fibonacci numbers directly from the definition.

14. F(n) = 5F(n 4) + 3F(n 5) for n 6

16. [F(n + 1)]2 = [F(n)]2 + F(n 1)F(n + 2) for n 2

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