Question: Supposefis an increasing function satisfying the recurrence relation f(n) =f(n/5)+3n 2 whenn= 5 k , andf(1) = 4. (a) [1 point] Findf(5),f(5 3 ),f(5 5

Supposefis an increasing function satisfying the recurrence relation f(n) =f(n/5)+3n2

whenn= 5k, andf(1) = 4.

(a) [1 point] Findf(5),f(53),f(55).

(b) [2 points] Find an explicit formula forf(n) whenn= 5k .

(c) [1 point] Give a big-Oestimate for the functionf.

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