Given an integer N the task is to print the F(N)th term in C

October 13, 2022

Print F(N)th term in C

 

Here, in this page we will discuss the program to print the F(N)th term in C Programming Language.  A function f is defined as follows F(N)= (1) +(2*3) + (4*5*6) … N. We are given with an integer N and we need to print the F(N)th term

Print F(N)th term in C

Method Discussed :

  • Method 1 : Using Iteration
  • Method 2 : Using Recursion

Let’s discuss the above two methods in brief,

Method 1 :

  • Declare a variable result = 0.
  • Run a while loop till current != N+1.
  • Inside while loop declare a variable cur to hold the product of the terms and initialize it with 1.
  • Now, run a loop to calculate the product of terms till current.
  • Set i= calculate. Termination condition of the loop will be i>= calculated + current.
  • Inside for loop set cur *= i.
  • After execution of for loop set calculated = i, result += curr and increment current value by 1.
  • After the execution of while loop return result.

Method 1 : Code in C

Run 
#include<stdio.h>

//Function to calculate N-th term
int term(int calculated, int current, int N) 
{
  int i, result = 0;

  while(current != N + 1){ 

    int cur = 1;
    // product of terms till current
    for (i = calculated; i < calculated + current; i++)
       cur *= i; 

    calculated=i;
    result += cur;
    current++;
  }
   
   return result; 
}

// Driver Code
int main()
{
  int N = 3;

  printf("%d ", term(1, 1, N));

  return 0;
}

Output

127

Method 2 :

In this method we will use the recursive way of the method 1 algorithm.

Method 2 : Code in C

Run 
#include<stdio.h>

// Recursive function 
int term(int calculated, int current, int N) 
{
    int i, cur = 1;

    // Base Condition
    if (current == N + 1) 
       return 0;

    // product of terms till current
    for (i = calculated; i < calculated + current; i++)
        cur *= i;

     return cur + term(i, current + 1, N); 
}

// Driver Code
int main()
{
  int N = 3;

  printf("%d ", term(1, 1, N));

  return 0;
}

Output

127
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While loop in C