1. Write a Java application that uses recursion to compute the results of the following series: The program should compile and run without errors.
m(i) = 1 + 1/2 + 1/3 + 1/4 + 1/5 … + 1/i

2. Write a Java application that effectively uses Java collections to store pairs of unique colors and their unique hexadecimal values. (For example, Red -> FF0000). Store up to 20 of these pairs. Then write a GUI that displays the hexadecimal values using radio buttons to select a value. When selected the background of the GUI should change to that color. The program should compile and run without errors.

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import java.util.Scanner;

public class RecursiveSeries {

public static void main(String[] args)
Scanner input = new Scanner(;
int i;
System.out.print("Please enter in the value of i: ");
i = input.nextInt();
double total = recursive(i);

System.out.println("The result = " + total);


public static double recursive(int i)
double total = 0;
if(i > 0)
total = 1/(double)i;
total += recursive(i-1);
return total;
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