Program to Find the sum of series 1/1!+2/2!+3/3!.....+N/N!

Problem Statement:- Program to Find the sum of series 1/1!+2/2!+3/3!.....+N/N!.

 Data requirement:-

   Input Data:- n

  Output Data:-Sum

  Additional Data:- i, fact

Program in C
  

Here is the source code of the C Program to Find the sum of series 1/1!+2/2!+3/3!.....+N/N!.

Code:

#include <stdio.h>

int main()

{

  int n, i, fact = 1;

  double sum = 0.0;

  printf("Enter the range of number:");

  scanf("%d", &n);

  

  for (i = 1; i <= n; i++)

  {

    //Calculating Factorial of each ith Number 

    fact *= i; 

    sum = sum + ((double)i / (double)fact);

  }

  printf("The sum of the series =%0.2lf", sum);

}

Input/Output:

Enter the range of number:5

The sum of the series = 2.71

Program in C++

Here is the source code of the C++ Program to Find the sum of series 1/1!+2/2!+3/3!.....+N/N!.

Code:

#include <iostream>

using namespace std;

int main()

{

    int n, i, fact = 1;

    double sum = 0.0;

    cout << "Enter the range of number:";

    cin >> n;

    for (i = 1; i <= n; i++)

    {

        fact *= i;

        sum = sum + ((double)i / (double)fact);

    }

    cout << "The sum of the series = " << sum;

}

Input/Output:

Enter the range of number:6

The sum of the series = 2.71667

Program in Java

Here is the source code of the Java Program to Find the sum of series 1/1!+2/2!+3/3!.....+N/N!.

Code:

import java.util.Scanner;

public class Sum_of_Series1 {

    public static void main(String[] args) {

        Scanner cs = new Scanner(System.in);

        int n, i, fact = 1;

        double sum = 0.0;

        System.out.println("Enter the range of number:");

        n = cs.nextInt();

        

        for (i = 1; i <= n; i++)

        {

            fact *= i;

            sum = sum + ((double) i / (double) fact);

        }

        System.out.println("The sum of the series = " + sum);

        cs.close();

    }

}

Input/Output:

Enter the range of number:

30

The sum of the series = 2.718281874018304

Program in Python

Here is the source code of the Python Program to Find the sum of series 1/1!+2/2!+3/3!.....+N/N!.

Code:

n = int(input("Enter the range of number:"))

sum = 0.0

fact = 1

for i in range(1, n+1):

    fact *= i

    sum += i/fact

print("The sum of the series = ", sum)

Input/Output:

Enter the range of number:6

The sum of the series =  2.7166666666666663

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