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Write the program in Java to find the sum of the following series:

S = 1 + (1 + 2) / (1 * 2) + (1 + 2 + 3) / (1 * 2 * 3) + ……. + (1 + 2 + 3 ……. + n) / (1 * 2 * 3 * ……. * n)

Java

Java Iterative Stmts

ICSE 2007

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Answer

import java.util.Scanner;

public class KboatSeries
{
    public void computeSeriesSum() {
        
        Scanner in = new Scanner(System.in);
        System.out.print("Enter n: ");
        int n = in.nextInt();
        double seriesSum = 0.0;
        int sum = 0;
        double prod = 1.0;
        
        for (int i = 1; i <= n; i++) {
            sum += i;
            prod *= i;
            double term = sum / prod;
            seriesSum += term;
        }

        System.out.println("Sum=" + seriesSum);
    }
}

Variable Description Table

Program Explanation

Output

BlueJ output of Write the program in Java to find the sum of the following series: S = 1 + (1 + 2) / (1 * 2) + (1 + 2 + 3) / (1 * 2 * 3) + ……. + (1 + 2 + 3 ……. + n) / (1 * 2 * 3 * ……. * n)

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