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 Fraction Series 1/2 + 2/3 + ... + 49/50

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

Program Title: Sum of Fraction Series 1/2 + 2/3 + … + 49/50

public class FractionSeriesSum {
    public static void main(String[] args) {
        double sum = 0.0;
 
        for (int i = 1; i <= 49; i++) {
            sum += (double) i / (i + 1);
        }
 
        System.out.println("Sum of the series is: " + sum);
    }
}
 

Sample Output
Sum of the series is: 39.59259259259259 

📝 Explanation

1. Loop from i = 1 to 49
2. Each term = i / (i + 1)
3. Sum all terms in sum
4. Print the final sum