MUST BE DONE IN JAVA The value of p can be computed accordin

MUST BE DONE IN JAVA

The value of p can be computed according to the following formula:

Write an algorithm and program to compute p. Because the formula is an infinite series and an algorithm must stop after a finite number of steps, you should stop when you have the result determined to six significant digits.

Solution

public class PI
{
   public static void main (String[] args)
   {
       double sum=0;
       double pi,num,den;
       num=den=1;
       for(int i =1;i<37;i++)
       {
          
           pi =num/den;
           sum = sum +pi;
           //System.out.print(pi+\" \\t \");
          
           num = -num;     //numerator is multiplied by -1
           den = den+2;   //denominator is incremented to 2
       }
       //System.out.println(\"pi= \"+ sum*4);
       System.out.printf(\"pi = %.6f\", + sum*4);   //output formatting
   }
}

output: