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Iterative Constructs in Java

Chapter 9

Iterative Constructs in Java

Class 10 - Logix Kips ICSE Computer Applications with BlueJ
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Java Program: Sum of Power Series over Factorial

30(viii). Write a program in Java to find the sum of the given series:

 

\[ \dfrac{x^2}{2!} + \dfrac{x^3}{3!} + \dfrac{x^4}{4!} + ... + \dfrac{x^n}{n!}, \text{where n = 10} \]
Java 
import java.util.Scanner;


 


public class FactorialSeriesSum


{


    public static void main(String args[]) {


        Scanner in = new Scanner(System.in);


        System.out.print("Enter x: ");


        int x = in.nextInt();


        double sum = 0;


       


        for (int i = 2; i <= 10; i++) {


            double f = 1;


            for (int j = 1; j <= i; j++) {


                f *= j;


            }


            double term = Math.pow(x,i) / f;


            sum += term;


        }


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


        


    }


}

Output

Sample Input / Output
Enter x: 2
Sum = 4.388994708994708

📝 Explanation

  • Each term = x / factorial(i)
  • Loop from i = 2 to 20
  • Sum all terms
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