import java.util.Scanner;/** This program calculates the geometric and harmonic progression for a number entered by the user.*/public class Progression{ public static void main(String[] args) { Scanner keyboard = new Scanner (System.in); System.out.println("This program will calculate " + "the geometric and harmonic " + "progression for the number " + "you enter."); System.out.print("Enter an integer that is " + "greater than or equal to 1: "); int input = keyboard.nextInt();// Match the method calls with the methods you write int geomAnswer = geometricRecursive(input); double harmAnswer = harmonicRecursive(input); System.out.println("Using recursion:"); System.out.println("The geometric progression of " + input + " is " + geomAnswer); System.out.println("The harmonic progression of " + input + " is " + harmAnswer); // Match the method calls with the methods you write geomAnswer = geometricIterative(input); harmAnswer = harmonicIterative(input); System.out.println("Using iteration:"); System.out.println("The geometric progression of " + input + " is " + geomAnswer); System.out.println("The harmonic progression of " + input + " is " + harmAnswer);} // ADD LINES FOR TASK #2 HERE // Write the geometricRecursive method // Write the geometricIterative method // Write the harmonicRecursive method // Write the harmonicIterative method} Lab Objectives• Be able to trace recursive function callsBe able to write non-recursive and recursive methods to find geometric andharmonic progressions.IntroductionIn this lab we will follow how the computer executes recursive methods, and will writeour own recursive method, as well as the iterative equivalent. There are two commonprogressions in mathematics, the geometric progression and the harmonic progression.The geometric progression is defined as the product of the first n integers. The harmonicprogression is defined as the product of the inverses of the first n integers.Mathematically, the definitions are as follows:n-1Geometric (n) =i=li=ln-111ПП*-Harmonic (n) =Let's look at examples.If we use n = 4, the geometric progression would be 1 * 2 * 3 * 4 = 24, and the harmonic1,1,1 1progression would be 1*-*-0.04166.2 3 4 24 Task #2 Writing Recursive and Iterative Versions of a Method1. Copy the file Progression.java (see code listing 16.2) from the Student Files oras directed by your instructor.2. You need to write class (static) methods for an iterative and a recursiveversion of cach of the progressions. You will create the following methods:a. geometricRecursiveb. geometricIterativec. harmonicRecursived. harmonicIterative.Be sure to match these methods to the method calls in the main method.

Question

import java.util.Scanner;/**   This program calculates the geometric and   harmonic progression for a number entered   by the user.*/public class Progression{   public static void main(String[] args)   {      Scanner keyboard = new Scanner (System.in);      System.out.println(&#34;This program will calculate &#34; +                         &#34;the geometric and harmonic &#34; +                         &#34;progression for the number &#34; +                         &#34;you enter.&#34;);      System.out.print(&#34;Enter an integer that is &#34; +                       &#34;greater than or equal to 1: &#34;);      int input = keyboard.nextInt();// Match the method calls with the methods you write      int geomAnswer = geometricRecursive(input);      double harmAnswer = harmonicRecursive(input);      System.out.println(&#34;Using recursion:&#34;);      System.out.println(&#34;The geometric progression of &#34; +                         input + &#34; is &#34; + geomAnswer);      System.out.println(&#34;The harmonic progression of &#34; +                         input + &#34; is &#34; + harmAnswer);      // Match the method calls with the methods you write      geomAnswer = geometricIterative(input);      harmAnswer = harmonicIterative(input);      System.out.println(&#34;Using iteration:&#34;);      System.out.println(&#34;The geometric progression of &#34; +                         input + &#34; is &#34; + geomAnswer);      System.out.println(&#34;The harmonic progression of &#34; +                         input + &#34; is &#34; + harmAnswer);}   // ADD LINES FOR TASK #2 HERE   // Write the geometricRecursive method   // Write the geometricIterative method   // Write the harmonicRecursive method   // Write the harmonicIterative method} Lab Objectives• Be able to trace recursive function callsBe able to write non-recursive and recursive methods to find geometric andharmonic progressions.IntroductionIn this lab we will follow how the computer executes recursive methods, and will writeour own recursive method, as well as the iterative equivalent. There are two commonprogressions in mathematics, the geometric progression and the harmonic progression.The geometric progression is defined as the product of the first n integers. The harmonicprogression is defined as the product of the inverses of the first n integers.Mathematically, the definitions are as follows:n-1Geometric (n) =i=li=ln-111ПП*-Harmonic (n) =Let's look at examples.If we use n = 4, the geometric progression would be 1 * 2 * 3 * 4 = 24, and the harmonic1,1,1 1progression would be 1*-*-0.04166.2 3 4 24 Task #2 Writing Recursive and Iterative Versions of a Method1. Copy the file Progression.java (see code listing 16.2) from the Student Files oras directed by your instructor.2. You need to write class (static) methods for an iterative and a recursiveversion of cach of the progressions. You will create the following methods:a. geometricRecursiveb. geometricIterativec. harmonicRecursived. harmonicIterative.Be sure to match these methods to the method calls in the main method.

Accepted Answer

We need to define the functions :

gram calculates the geometric and harmonic progression for a number entered by the user. */ public class Progression {