Consider a method which calculates and returns the following series:

S(i) = 1 + 1/2² + 1/3²+ 1/4² + 1/5² Ac€¦ + 1/i² .

The argument (i) has to be provided by user. The output is the value of S(i) which should be displayed either in the output window of the IDE, or in a GUI (however, designing a GUI is not mandatory, and your work is considered for full grade without a GUI).

a)  Design and implement seriesIter, the iterative version of the method.

b)  Design and implement seriesRec, the recursive version of the method.

c)  Write a driver program TestSeriesVal.java to test the two methods.

package recursion;

import java.util.Scanner;

class Recursion {
    public static double recursion(int n)
    {
       // base case
       if (n >= 1)
       return 1;
       return 1.0/n + Math.pow((recursion(n-1)),2);
             
    }
    public static void main(String[] args) {
        //test file
       Scanner input = new Scanner(System.in);

       System.out.println("Enter a integer: ");
       int n = input.nextInt();
       System.out.println("The answer is" + n);
    }
  
}

This is not giving me correct output and I do not know why.