Recursive Sum - Example

public class RecursionSum {
    public static void main(String[] args) throws Exception{
        System.out.println ("Computing Sum number at 1 Terms is "+sum(1));
        System.out.println ("Computing Sum number at 3 Terms is "+sum(3));
        System.out.println ("Computing Sum number at 7 Terms is "+sum(7));
    }

    //Create the Recursive Sum Class. Each term is i/2i+1

    public static double sum(int index){
        System.out.println("In sum Calcuating for terms " +index);

        double b;

        //Stopping condition needed for each recursive function
        if(index==1){
            System.out.println("In sum returning Num = 1 dem = 3");

            return 1.0/3.0;
        }
        else{
            //Recursie call before the return
            b=sum(index-1);

            System.out.println("Sum of "+index+" terms for terms "+ (index-1)+" "+b+"+ "+index+ " / (" + (2*index)+"+1) ");
            return b+index/(2.0*index+1);
        }
    }
}