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Java Program: x Divided by Sum of Factorial Series
30(vii). Write a program in Java to find the sum of the given series:
\[ \dfrac{x}{2!} + \dfrac{x}{3!} + \dfrac{x}{4!} + ... + \dfrac{x}{20!} \]
Program Title : x Divided by Sum of Factorial Series
Program Type 1
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 <= 20; i++) {
double f = 1;
for (int j = 1; j <= i; j++) {
f *= j;
}
sum += x / f;
}
System.out.println("Sum = " + sum);
}
}
Output
Sample Input / Output Enter x: 2 Sum = 1.43656365691809
Program Type 2
import java.util.Scanner;
public class FactorialSeriesSum {
// Method to calculate factorial of n
public static long factorial(int n) {
long fact = 1;
for (int i = 2; i <= n; i++) {
fact *= i;
}
return fact;
}
public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
System.out.print("Enter the value of x: ");
double x = sc.nextDouble();
double sum = 0.0;
for (int i = 2; i <= 20; i++) {
sum += x / factorial(i) ;
}
System.out.println("Sum of the series is: " + sum);
sc.close();
}
}
Output
Sample Input / Output Enter x: 2 Sum = 1.43656365691809
📝 Explanation
- Each term = x / factorial(i)
- Loop from i = 2 to 20
- Sum all terms
