Question

Give a recursive algorithm to solve the following recursive function.    f(0) = 0;    f(1)...

  1. Give a recursive algorithm to solve the following recursive function.

   f(0) = 0;

   f(1) = 1;

f(2) = 4;

f(n) = 2 f(n-1) - f(n-2) + 2; n > 2

  1. Solve f(n) as a function of n using the methodology used in class for Homogenous Equations. Must solve for the constants as well as the initial conditions are given.
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Homework Answers

Answer #1

A recursive algorithm would look like this and you can now implement it in any desirable language :-

function (n)
  if n == 0
    return 0
  elif n == 1
    return 1
  elif n == 2
    return 4
  else:
    return 2 + 2function(n-1) - function(n-2)

if you have any doubt you can ask in a comment section.Thums up the ans

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