Question: comsider the following recurrence equation to its nearest integer. 8. Consider the following recurrence equation. The symbol is the floor function. For any real m.

comsider the following recurrence equation

to its nearest integer. 8. Consider the following recurrence equation. The symbol is the "floor" function. For any real m. llrounds down For example, (3.1415) = 3. And [3] = 3. n=1 f(in/2])+n, n22 (a) Compute and tabulate f(n) for n = 1 to 8. (b) Prove by induction that the solution has the following bound. f(n)

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