38.C Program to Find the Sum of Natural Numbers using Recursion

C Program to Find the Sum of Natural Numbers using Recursion

Example to find the sum of natural numbers by using a recursive function.

To understand this example, you should have the knowledge of following C programming topics:

• C Programming User-defined functions
• C Programming Recursion

The positive numbers 1, 2, 3... are known as natural numbers. The program below takes a positive integer from the user and calculates the sum up to the given number.

You can find the sum of natural numbers using loop as well. However, you will learn to solve this problem using recursion here.

Example: Sum of Natural Numbers Using Recursion

#include <stdio.h>
int addNumbers(int n);

int main()
{
    int num;
    printf("Enter a positive integer: ");
    scanf("%d", &num);
    printf("Sum = %d",addNumbers(num));
    return 0;
}

int addNumbers(int n)
{
    if(n != 0)
        return n + addNumbers(n-1);
    else
        return n;
}

Output

Enter a positive integer: 20
Sum = 210

Suppose the user entered 20.

Initially, the addNumbers() is called from the main() function with 20 passed as an argument.

The number (20) is added to the result of addNumbers(19).

In the next function call from addNumbers() to addNumbers(), 19 is passed which is added to the result of addNumbers(18). This process continues until n is equal to 0.

When n is equal to 0, there is no recursive call and this returns the sum of integers to the main()function.

Check out these related examples:

• C Program to Calculate the Sum of Natural Numbers
• C Program to Find Factorial of a Number Using Recursion
• C Program to Find GCD of two Numbers