Question: Consider the sequence F 1 , F 2 , F 3 , . . . , where F 1 = 1 , F 2 =

Consider the sequence F1, F2, F3,..., where
F1=1, F2=1, F3=2, F4=3, F5=5 and F6=8.
The terms of this sequence are called Fibonacci numbers.
(a) Define the sequence of Fibonacci numbers by means of a recurrence relation.
(b) Prove that 2| Fn if and only if 3| n.

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