3. Observe the following formulae: fin) = 1 fin) = 3 + fln-1) fin) = 2+ fln-1) if n =0 if n is even if n is odd a) Write a direct recursive function based on the formulae above. The function prototype is give as: int f(int n); Note: You don't have to worry about n being less than 0, but beware of 0 being an even number. b) Using mutual recursion and based on the formulae above, complete the function definition for the following function prototypes: int fodd (int n): int fEven (int n) ; c) Write a complete C program to test the direct and mutual recursions that you have written in Parts (a) and (b). Prompt the user for n values.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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3. Observe the following formulae:
fin) = 1
fin) = 3 + f(n-1)
fin) = 2 + f(n-1)
if n=0
if n is even
if n is odd
a) Write a direct recursive function based on the formulae above. The function prototype is given
as:
int f(int n);
Note: You don't have to worry about n being less than 0, but beware of 0 being an even
number.
b) Using mutual recursion and based on the formulae above, complete the function definition
for the following function prototypes:
int fodd (int n) ;
int fEven (int n);
c) Write a complete C program to test the direct and mutual recursions that you have written in
Parts (a) and (b). Prompt the user for n values.
Transcribed Image Text:3. Observe the following formulae: fin) = 1 fin) = 3 + f(n-1) fin) = 2 + f(n-1) if n=0 if n is even if n is odd a) Write a direct recursive function based on the formulae above. The function prototype is given as: int f(int n); Note: You don't have to worry about n being less than 0, but beware of 0 being an even number. b) Using mutual recursion and based on the formulae above, complete the function definition for the following function prototypes: int fodd (int n) ; int fEven (int n); c) Write a complete C program to test the direct and mutual recursions that you have written in Parts (a) and (b). Prompt the user for n values.
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