Question

In Java!!

Problem 2 – Compute the sum of the series (19%)

The natural logarithm of 2, ln(2), is an irrational number, and can be calculated by using the following series:

1 - 1/2 + 1/3 - 1/4 + 1/5 - 1/6 + 1/7 - 1/8 + ... 1/n

The result is an approximation of ln(2). The result is more accurate when the number n goes larger.
Compute the natural logarithm of 2, by adding up to n terms in the series, where n is a positive integer and input by user.

Requirements:

1. Use either for or while loop to display the number pattern.

Answer 1

CODE

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import java.util.Scanner;

public class Main {
   public static void main(String[] args) {
       Scanner sc = new Scanner(System.in);
       int n;
       System.out.println("Enter the number of terms in the series: ");
       n = sc.nextInt();
      
       double sum = 0;
      
       for (int i = 1; i<=n; i++) {
           double term = 1.0/i;
           if (i % 2 == 0) {
               sum -= term;
           } else {
               sum += term;
           }
          
           System.out.println("Term " + i + " = " + term);
       }
      
       System.out.println("ln(2) = " + sum);
   }
}