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 Geometric Progression

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

      1 * 2 * 4 * 8 * ..... * 2²⁰

public class SumGeometricSeries
{
    public static void main(String args[]) {
 
        double sum = 0;
       
        for (int i = 0; i <= 20; i++) {
            double term = Math.pow(2,i);
            sum += term;
        }
           
        System.out.println("Sum = " + sum);
       
    }
}
 

Sample Output
Sum = 2097151.0 

📝 Explanation

1. First term = 1
2. Each term = previous term × 2
3. Stop when i exceeds 20
4. Add each term to sum