Java class name PiEstimatorXXXXX where XXXXX is your student ID. In the 14th cen

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Question

Java class name PiEstimatorXXXXX where XXXXX is your student ID.

In the 14th century, the value of PI was approximated by calculating the series

See http://en.wikipedia.org/wiki/Approximations_of_%CF%80

Using N terms in this series to estimate the PI value and display it. The higher the N

value is, the more accurate the estimate will be.

Define this method:

static ArrayList<Double> estimatePI (int count);

The loop must be inside this function. The loop must run exactly count time to

estimate the PI values with count terms of the series. Each iteration of the loop

generates a new estimate. Each estimate of the series is stored in an array list. Then

the function returns the array list to main(). Do not print any thing in the function !

In main() method, ask user to enter an input value of N. Then main() will call the

method estimatePI() with the argument N and get back an array list of N estimates.

Then main() will print the list of estimated PI values with 14 decimal digits in the

fractions.

In main(), you should also display the value of the PI constant in the Java Math

library with 14 decimal fraction digits.

Sample program run

Enter a count N to estimate the value of PI by looping for a series calculation:

Estimate PI values are:

3.46410161513775

3.07920143567800

3.15618147156995

3.13785289159568

3.14260474566308

3.14130878546288

3.14167431269884

3.14156871594178

3.14159977381151

3.14159051093808

3.14159330450308

3.14159245428765

3.14159271502038

3.14159263454731

3.14159265952171

3.14159265173400

3.14159265417257

3.14159265340616

3.14159265364783

3.14159265357140

3.14159265359563

3.14159265358793

3.14159265359039

3.14159265358960

3.14159265358985

PI in the Math library is 3.14159265358979

Explanation / Answer

This ones is fully correct.....I realy need to read the question clearly from next time......

I'm really really sorry for this but please ignore all the above solutions....

Final solution

import java.text.DecimalFormat;
import java.util.ArrayList;
import java.util.Scanner;

public class PiEstimator
{
   //to round to 14 decimals
   static DecimalFormat round = new DecimalFormat("#.00000000000000");
   static ArrayList<Double> estimatePI (int count)
   {
       //initializing an ArrayList variable
       ArrayList<Double> list=new ArrayList<Double>();
       Double sum=0.0;
       for(int i=0;i<count;i++)
       {
           //using the formula given to calculate the value of PI
           sum+=Math.sqrt(12)*Math.pow(-1, i)*((double)1/(((2*i+1))*Math.pow(3, i)));
           //adding it to the list after rounding it to 14 decimals
           list.add(Double.parseDouble(round.format(sum)));
       }
       //returning the list
       return list;
   }
   public static void main(String[] args)
   {
       Scanner sc=new Scanner(System.in);
       System.out.println("Enter a count N to estimate the value of PI by looping for a series calculation: ");
       int n=sc.nextInt();
       ArrayList<Double> list=new ArrayList<Double>();
       list=estimatePI(n);
       for(int i=0;i<list.size();i++)
           System.out.println(list.get(i));

       System.out.println("PI in the Math library is: "+round.format(Math.PI));
   }
}

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