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(Solved): Lab 3: Recursive Functions How recursion works in C++ ? void recurse() \& ....... (): recurse(): in ...




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Lab 3: Recursive Functions How recursion works in ? void recurse() \& ....... (): recurse(): int maind) recurse(); ?........ void recurse() \& recurse(): ?) int main() \& recurse(); ? I. Examples of recursive functions: Example 1: Factorials: To obtain the factorial of a number the mathematical formula would be: More concretely, 5 ( (factorial of 5) would be: and a recursive function to calculate this in could be: II factorial calculator Please type a number: 9 finciude using namespace std; long factorial (long a). i. If return (a + factorial : elae return (2): int main () long number: cout « "please type a number: "? cin number: cout number factorial (numbox) : teturn 0 ; Example 2: Fibonacci numbers: The mathematical definition of the Fibonacci number is: As with factorial, this maps very cleanly into a recursive procedure: (1) Etbonacei number: Inelude . using namerpace std; Int fib(1nt , 8. 1f in return 1 ; retura ) int main() if int ; cout "Bnter a non-negative integer: ; : Eib(n) ce ". " program to find sum of first natural numbers using recursion. Note: Positive integers are known as natural number Exercise 1: Write a Program for calculating the by using recursive functions. Exercise 2: Write a Program to check whether a number is a palindrome or not. Note: we can think of a palindrome as just any sequence of letters or numbers that reads the same forward and backward, such as yzxzy or 12321 Exercise 3: Write a program using recursion to print the following table (called Pascal's Triangle) in your output screen


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