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3. The Fibonacci sequence can be generated on the natural numbers by the following recurrence relation: F(n) -( if n e (1,2) ifn>2. F(n-1) +

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3. The Fibonacci sequence can be generated on the natural numbers by the following recurrence relation: F(n) -( if n e (1,2) ifn>2. F(n-1) + F(n-2) n Prove that the closed-form way to generate the Fibonacci sequence is given by: a' 7l where and 2 2 Proof

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