Suppose that f = 2f(n/2) + n, when n is an even positive integer, and f(1) = 0. Find f(8).Select one:a.8b.64c.16d.None of the otherse.24

Question

Suppose that f = 2f(n/2) + n, when n is an even positive integer, and f(1) = 0. Find f(8).Select one:a.8b.64c.16d.None of the otherse.24
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Solution 1

To solve this problem, we can use the method of recursion.

First, let's break down the function f(n) = 2f(n/2) + n:

  1. f(8) = 2f(4) + 8
  2. f(4) = 2f(2) + 4
  3. f(2) = 2f(1) + 2

We know from the problem that f(1) = 0, so we can substitute this into the equation for f(2):

f(2) = 2*0 + 2 = 2

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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