create a Java recursive method that determines if a number is a prime number
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- 1. Let product(n,m) be a recursive method that computes the product of two positive integers, using only addition and subtraction. To make this method a recursive one, you are to make a) a base case when m = 1, b) a general case when m ≠ 1. For a general case, the return value should be n plus the result of a recursive call to the method product() with parameters n and m - 1. Write a short Java code for this method, along with a test program.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…Write a recursive method that displaysa string reversely on the console using the following header: public static void reverseDisplay(String value) For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.
- The following recursive method is created public static void t(int a) { if (a < 250) return; System.out.print(a+" "); ____1____ ( ____2____ _____3_____ _____4_____ ); //this is the recursive call code } What code should be placed for the numbers so that the output 1000 500 250 is generated with the call t(1000)Java - How many recursive calls will be made if the following method is called with 6? void greeting(int n) { system.out.println(“Hello!”); greeting(n-1); }Write a recursive method called digitCount() that takes a positive integer as a parameter and returns the number of digits in the integer. Hint: The number of digits increases by 1 whenever the input number is divided by 10. Use Java. Ex: If the input is: 345 the method digitCount() returns and the program outputs: 3 Ex: If the input is: 0 the method digitCount() returns and the program outputs: 1 import java.util.Scanner; public class LabProgram {/* TODO: Write recursive digitCount() method here. */public static void main(String[] args) {Scanner scnr = new Scanner(System.in);int num, digits;num = scnr.nextInt();digits = digitCount(num);System.out.println(digits);}}
- i. Write a recursive method named displayStars to generate a pattern of stars with numbers such as the following: 1* 2*2* 3*3*3* 4*4*4*4* 4*4*4*4* 3*3*3* 2*2* 1* (ii). Also, write a program that prompts the user to enter the number of lines in the pattern and uses the recursive method displayStars to generate the pattern. For example, specifying the number of lines to be 4 generates the above pattern. I need everything to be solved on JGRASP pleasehi I am writing a recursive method for the sum of a number, it works but I am unsure how it works and I would like to understand how it works? public static int sumDigits(int num) { if (num == 0) { return (0); } return (num%10) + sumDigits(num/10); }Consider the following recursive method.int recursum(int a, int b){if (a%b == 0)return b;elsereturn recursum (b, a%b);}a. What is the output given by recursum (48, 18)?b. What is the output given by recursum (85, 25) ?
- Do the trace in detail and submit The source Code As Well From the following recursive method Trace (in details) the calling of the above method with any input from your choice such that thereturned value will be 19. public static int think(int x) {if(x<10)if(x%2!=0)return x;elsereturn 0;elseif(x%2!=0)return x%10 + think(x/10);elsereturn think(x/10);}We want to create a recursive method called numbers. This method is suppose to create the following sample output numbers(10) should display 10 9 8 7 6 5 4 3 2 1 0 numbers(5) should display 5 4 3 2 1 0 Fill in the blank so that the method generates the desired output public static void numbers(int a) { if (_1__ ___2___ __3___) <----- base case return; System.out.print(___4___ + " "); ___5___(___6___ ___7___ _____8____); <--- recursive case }The following recursive method has been created. This method accepts two integer parameters called a and b respectively. Assume that the name of the method is m and the code in the recursive method is: if ( a > b ) return; if(a % 10 == 3) System.out.print(a+ " "); m(a+1, b); <---- recursive call } what would be the output with the following call m(1,50) where a is 1 and b is 50