Write the class named CRecursion that includes allthe static methods the followi

Question

Write the class named CRecursion   that includes allthe static methods the following problemsby using recursive algorithm:

Write the class named Tester that will display the menu:

1.       Factorial

2.       Power

3.       Sum

4.       Fibonacci

5.       GCD

Choose 1 to 5 to continue, 0 tostop

Read the answer based on selected cases:

·         For case1: read n input then display the result

·         For case2: read input n and base x, then display the result

·         For case3: read n, then display the result

·         For case4: read n, then display the result

·         For case5: n=120, m=300, then display the result

Explanation / Answer

please rate - thanks import java.util.*; public class CRecursion {public static void main(String [] args) {Scanner in=new Scanner(System.in); int num1,num2; int choice; for(;;) {System.out.println("1.      Factorial");   System.out.println("2.      Power");   System.out.println("3.      Sum");   System.out.println("4.      Fibonacci");   System.out.println("5.      GCD");    System.out.print("Choose 1 to 5 to continue, 0 tostop: ");    choice=in.nextInt();    switch(choice)          {case 0: System.exit(0);        case 1:System.out.print("enter a number : ");              num1=in.nextInt();                 System.out.println(num1+"!="+factorial(num1));                  break;        case 2: System.out.print("enter a number whose power you want to find:");                   num1=in.nextInt();                   System.out.print("Enterthe exponent: ");                   num2=in.nextInt();                   System.out.println(num1+"^"+num2+" = "+power(num1,num2));                 break;        case 3: System.out.print("enter a number : ");                   num1=in.nextInt();                   System.out.print("Enteranother, larger, number: ");                   num2=in.nextInt();               System.out.println("The sum of the numbers from "+num1+" to"+num2+" = "+sum(num1,num2));               break;        case 4: System.out.print("enter a number : ");               num1=in.nextInt();               System.out.println("The "+num1+"th fibonacci number is"+fib(num1));                   break;        case 5: System.out.print("enter a number : ");                   num1=in.nextInt();                   System.out.print("Enteranother number: ");                   num2=in.nextInt();                   System.out.println("TheGCD of "+ num1+" and "+num2+" = "+gcd(num1,num2));               break;        } }    } public static int sum(int a,int b) {if(b==a)      return a; else     return sum(a,b-1)+b; } public static double power( double num1, int num2) { if(num2

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