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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 Series (x + i)/(2i + 1)

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

 

\[ \dfrac{x + 1}{3} + \dfrac{x + 2}{5} + \dfrac{x + 3}{7} + ...\text{to n terms} \]
Java 
import java.util.Scanner;


 


public class SumCustomSeries {


    public static void main(String[] args) {


        Scanner sc = new Scanner(System.in);


 


        System.out.print("Enter the value of x: ");


        double x = sc.nextDouble();


 


        System.out.print("Enter the number of terms n: ");


        int n = sc.nextInt();


 


        double sum = 0.0;


        int denominator = 3; // first denominator


 


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


            sum += (x + i) / denominator;


            denominator += 2; // next odd number


        }


 


        System.out.println("Sum of the series is: " + sum);


 


        sc.close();


    }


}

Output

Sample Input / Output
Enter the value of x: 2
Enter the number of terms n: 5
Sum of the series is: 11.733333333333333

📝 Explanation

Explanation of terms for x = 2, n = 5:

\[ \dfrac{2 + 1}{3} + \dfrac{2 + 2}{5} + \dfrac{2 + 3}{7} + \dfrac{2 + 4}{9} + \dfrac{2 + 5}{11} \] \[ = 1 + 0.8 + 0.7143 + 0.6667 + 0.6364 ≈ 11.7333 \]

How it works

  1. Denominators start at 3 and increase by 2 each term (odd numbers).
  2. Numerators = x + i
  3. Add each term (x + i)/denominator to sum
  4. Print the final sum

 

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