Write a short recursive Java method that takes a character strings and outputs its reverse. For example, the reverse of 'pots&pans' would be 'snap&stop'.

how to write a java program that determine if a string is a palidrome using a recursive method and a non-recursive method (ignore characters that are not letters). Then write a driver to test the two versions of the two methods. (A palindrome is a string that reads the same forward as well as backward. For example, “otto” and “never odd or even” are palindromes) (driver can be hard coded)

In order to compute a power of two, you can take the next-lower power and double it. For example, if you want to compute 2^11 and you know that 2^10=1024, then 2^11=2×1024=2048. Write a recursive method public static int pow2(int n) where n is the exponent, that is based on this observation. If the exponent is negative, return -1. import java.util.Scanner; public class PowerTwo{   public static int pow2(int n)   {       /*  code goes here */    }      public static void main(String[] args)   {      Scanner in = new Scanner(System.in);      while (in.hasNextInt())      {         int exponent = in.nextInt();         System.out.println(pow2(exponent));      }         }}

Write a Java recursive method to print Fibonacci series of n terms. Fibonacci series starts with 0 and 1, and the sum of previous two numbers is the next number of the series. For instance, 0, 1, 1 (0 + 1), 2 (1 + 1), 3 (1 + 2), and so on. Sample input: 10Sample output:0 1 1 2 3 5 8 13 21 34

Consider the following recursive method in Java that determines ifa string is a palindrome (i.e., reads the same forward or backwards) or not: Public boolean isPalindrome ( String str ){If( str.length() ≤ 1 )return true;elsereturn ( str.charAt (0) == str.charAt( str.length() – 1 ) &&isPalindrome( str.substring(1..str.length() - 1)));} // end of isPalindrome a. Explain convincingly why the recurrence below for f(n), where n is the length of the string parameter str, is a correct expression for the number of primitive operationsrequired by a call isPalindrome.t(0) = Θ(1)t(1) = Θ(1)t(?) = t(? − 2) + Θ(1)b. Show that t(n) = Θ(n), solves the recurrence for t(n) in (a) above.

A palindrome is a string that reads the same forward and backward. For example,“deed” and “level” are palindromes. Write an algorithm in pseudocode that testswhether a string is a palindrome. Implement your algorithm as a static method inJava. The method should call itself recursively and determine if the string is apalindrome.Write a main method that reads a string from the user as input and pass it to thestatic method. You need to validate the string and make sure it contains only letters(no digits or special characters are allowed). The main method should displaywhether the string is a palindrome or not. a)  Read the string from the user and validate it.b)  Create a method that calls itself recursively and returns whether thestring is a palindrome or not.c)  Include a test table with at least the following test cases:1. Invalid input. For example, string contains a number or specialcharacter.2. A valid string that is a palindrome.3. A valid string that is not a palindrome.

Consider a recursive method below. static void mysteryRecursion (String x) { if (x.length() < 1) { System.out.println(x); } else { System.out.println (x.charAt (0) + " " + x.charAt (x.length () - 1)) ; mysteryRecursion (x.substring (1, x.length () - 1)); What gets printed if I make the method call mysteryRecursion("helloworld");

The method is in fact faulty. Give a test input (String) that will make the method to fail -- i.e., it will throw an exception when it is executed with the input).

3. Write a Java program to implement a method which prints the Fibonacci series up to nth term. The value of n will be taken from the user in the main() method.Fibonacci series starts with 0 and 1, and the sum of previous two numbers is the next number of the series. For instance, 0, 1, 1 (0 + 1), 2 (1 + 1), 3 (1 + 2), and so on.Sample output [assuming the number of term (n) is 8]:The Fibonacci series: 0 1 1 2 3 5 8 13

Use java and correctly indent code.