Question 7. The Fibonacci numbers fn are given by the recurrence relation fn = fn-1+ fn-2, fo = 0, f 1 = 1 a. Compute the first terms of fn+m, n > 2 b. Compute the first terms of fm+1' fn + fm' fn-1,N > 2 c. Show, using induction, that fn+m = f m+1° fn + fm² fn-1

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