Write a recursive method for countdown. For example, if the user enters 10, the method should perform the countdown starting from 10 to 0
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Write a recursive method for countdown. For example, if
the user enters 10, the method should perform the
countdown starting from 10 to 0
Step by step
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- 1. Write a recursive method expFive(n) to compute y=5^n. For instance, if n is 0, y is 1. If n is 3, then y is 125. If n is 4, then y is 625. The recursive method cannot have loops. Then write a testing program to call the recursive method. If you run your program, the results should look like this: > run RecExpTest Enter a number: 3 125 >run RecExpTest Enter a number: 3125 2. For two integers m and n, their GCD(Greatest Common Divisor) can be computed by a recursive function. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Once m is 0, the function returns n. Once n is 0, the function returns m. If neither is 0, the function can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n. Although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. Meaning your code needs to follow the given algorithm. Then…Write a recursive method that takes two integer number start and end. The method int evensquare2 (int start, int end) should return the square of even number from the start number to the end number. Then, write the main method to test the recursive method. For example: If start = 2 and end = 4, the method calculates and returns the value of: 22 * 4= 20 If start = 1 and end 2, the method calculates and returns the value of: 22 4 Sample I/O: Enter Number start: 2 Enter Number start: 4 Result = 20 Enter Number start: 1 Enter Number start: 2 Result = 4Using JAVA Recursive Power Method Write a method called powCalthat uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponentand the second argument is the number to be raised(example”powCal(10,2)means2^10). Assume that the exponent is anonnegative integer. Demonstrate the method in a program called Recursive (This means that you need to write a program that has at least two methods: mainand powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCalmethod work).
- Please Give answer in C# Write a recursive method which sums all the even numbers up to a given number. For example if you call it with 10, it would return 30 because 10+8+6+4+2=30 Write a RECURSIVE method called sumEven It must take in an int (the max you wish to sum to) It must return an int (the sum) If it's passed in an even number it should sum the number passed in with all the even numbers before it. For example if passed 8, it would sum 8+6+4+2=20 If it's passed an odd number it should still sum only the EVEN numbers. What we mean is that sumEven(9) should return 8+6+4+2=20. Not 9+7+5+3+1. Hint: You'll have an if statement with the base condition, an else if for even and an else if for odd. In the case of odd, just call yourself with the next lowest even number. In your main method, open a file called "Carlton.txt" for writing. Use a loop to call the method above multiple times and print a line to the file for each iteration of the loop: The sum of even numbers up to 0 is 0 The…Do not use static variables to implement recursive methods. USING JAVA USING: // P5 public static long computePay(int day) { } You have been offered a job that pays as follows: On the first day, you are paid 1 cent, on the second day, 2 cents, on the third day, 4 cents and so on. In other words, your pay doubles every day. Write a recursive method computePay that for a given day number computes the pay in cents. Assume that you accumulate all the money that you are paid. Write a recursive method computeSavings that computes the sum that you have accumulated on a given day. Show the output of computePay and computeSavings for day number 39.Python Programming ONLY PLEASE NO JAVA Use recursion to determine the number of digits in an integer n. Hint: If n is < 10, it has one digit. Otherwise, it has one more digit than n / 10. Write the method and then write a test program to test the method Your test program must: Ask the user for a number Print the number of digits in that number. (describe the numbers printed to the console) Use program headers and method header comments in your code.
- JAVA Question 2: For two integers m and n, their GCD (Greatest Common Divisor) can be computed by a recursive method. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Method body: If m is 0, the method returns n. If n is 0, the method returns m. If neither is 0, the method can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n (or m % n). The recursive method cannot have loops. Note: although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. main method: Prompt and read in two numbers to find the greatest common divisor. Call the gcd method with the two numbers as its argument. Print the result to the monitor. Example program run: Enter m: 12 Enter n: 28 GCD(12,28) = 4 And here is what I have so far, package CSCI1302;import java.util.*;public class RecursionDemo { public static void…When writing a recursive method, you do not need to know ahead of time exactly how many levels of recursion will occur. you must keep count of how many recursion call levels you have traversed. you must make sure the method does not take any input parameters.A recursive method with no base case? 1.causes an infinite loop 2.generates no output 3.does not start 4.all of the answers
- Given the sequence, S2 = 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, … Write a RECURSIVE method called “sequence2” that takes a single int parameter (n) and returns the int value of the nth element of the sequence S2. You will need to determine any base cases and a recursive case that describes the listed sequence. Use the following code to test your answers to questions 3 and 4the output should print the two sequences given (S & S2): public class TestSequences { public static void main(String[] args) { for(int i = 0; i < 10; i++) { System.out.print(sequence(i) + " "); // 2, 4, 6, 12, 22, 40, 74, 136, 250, 460 } System.out.println(); for(int i = 0; i < 10; i++) { System.out.print(sequence2(i) + " "); // 1, 2, 4, 5, 7, 8, 10, 11, 13, 14 } } // *** Your method for sequence here *** // *** Your method for sequences2 here *** } // end of TestSequences classIf your first name starts with a letter from A-J inclusively: Write a recursive method that takes a string as argument and determines if the string has more vowels than consonants. Test the method by asking the user to enter a string. Hint: Write your recursive method to first count vowels and consonants.12 - question The following method is a recursive pow method to compute exponents, there is a logical error in this code. Please choose the line which has the error. 1. public static int pow (int x, int y) { 2. if (y>1) 3. return x * pow (x, y - 1); 4. else 5. return y; 6. } a. Line 2 b. Line 3 C. Line 4 d. Line 5