Consider the recurrence relation and some initial values for the fibonacci sequence. fk = fk − 1 + fk − 2 f0 = 1, f1 = 1, f2 = 2, use the recurrence relation and values for f0, f1, f2, given above to compute f13 and f14.

Step-by-step explanation:  We are given to consider the following recurrence relation with some initial values for the Fibonacci sequence :

We are given to use the recurrence relation and given initial values to compute and

From the given recurrence relation, putting k = 3, 4, . . . , 13, 14, we get

Thus,

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