Question

write a java program to print the following series

Answer 1

Series Summation in Java

We are given a series involving factorials. We must define a factorial function for it.

We would take user input for value of n and run a loop to add each term to a variable for sum.

Factorial of a number n means product of numbers from 1 till n.

E.g.: 4! = $\sf 1\times 2\times 3\times 4$ = 24

So for factorial function we would run a loop to multiply the numbers.

Here is the Java program:

import java.util.Scanner;

public class Series

{

   public static void main(String[] args)

   {

       Scanner sc = new Scanner(System.in);

       

       System.out.print("Enter the value of n: ");

       int n = sc.nextInt();       //Taking User Input

       

       double sum = 0;     //Initialising sum to 0

       

       for(int i=1;i<=n;i++)

       {

           sum += 1/factorial(i);  //Adding successive terms to sum

       }

       

       System.out.println("Series Sum = "+sum);

   }

       

   static double factorial(int n)      //Factorial Function

   {

       int fact=1;

       for(int i=2;i<=n;i++)       //We multiply fact with i from 2 till n

       {

           fact = fact*i;

       }

       return fact;        //Returning the factorial

   }

}