# Calculate the Nth term C

### Problem Statement :

```This challenge will help you learn the concept of recursion.

A function that calls itself is known as a recursive function. The C programming language supports recursion. But while using recursion, one needs to be careful to define an exit condition from the function, otherwise it will go into an infinite loop.

To prevent infinite recursion, if ... else statement (or similar approach) can be used where one branch makes the recursive call and other doesn't.

void recurse() {
.....
recurse()  //recursive call
.....
}
int main() {
.....
recurse(); //function call
.....
}

There is a series,
, where the next term is the sum of pervious three terms. Given the first three terms of the series, a , b and c respectively, you have to output the nth term of the series using recursion.

Input Format

The first line contains a single integer, n.

The next line contains 3 space-separated integers,
a,  b and c.

Constraints

1  <=  n  <= 20
1  <= a, b, c  <= 100

Output Format

Print the nth term of the series S(n),
.```

### Solution :

```                            ```Solution in C :

#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>
//Complete the following function.
int find_nth_term(int n, int a, int b, int c) {
if (n == 1) {
return a;
} else if (n == 2) {
return b;
} else if (n == 3) {
return c;
} else {
return find_nth_term(n-1, a, b, c) + find_nth_term(n-2, a, b, c) + find_nth_term(n-3, a, b, c);
}
}
int main() {
int n, a, b, c;

scanf("%d %d %d %d", &n, &a, &b, &c);
int ans = find_nth_term(n, a, b, c);

printf("%d", ans);
return 0;
}```
```

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