F0, F1, F2,...is the Fibonacci sequence. The Fibonacci

Chapter 5, Problem 5.228

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F0, F1, F2,...is the Fibonacci sequence. The Fibonacci sequence satises the recurrence relation Fk = Fk1 +Fk2, for all integers k 2. a. Explain why the following is true: Fk+1 = Fk +Fk1 for all integers k 1. b. Write an equation expressing Fk+2 in terms of Fk+1 and Fk. c. Write an equation expressing Fk+3 in terms of Fk+2 and Fk+1

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