Write a recursive function called print_num_pattern() to output the following number pattern

Write a recursive function to see if the first letter matches the last letter, return the middle letters and check until only 0 or 1 letters are left. It returns True or False. Here is the original code that needs to be checked: # Returns the first character of the string str def firstCharacter(str):     return str[:1] # Returns the last character of a string str def lastCharacter(str):     return str[-1:] # Returns the string that results from removing the first #  and last characters from str def middleCharacters(str):     return str[1:-1] def isPalindrome(str):     # base case #1     # base case #2     # recursive case     pass   Python code

2. Consider the following function: def func1(n): output = 1 for i in range (1, n) : output = i return output Rewrite the function as a recursive function.

Write the recursive function based on the following formula in Visual Basic code: if n=0 f(n) = 1 if n = 1 F(n- 1) + F(n – 2) if n>1

Write a recursive function that displays a string reversely on the console using the following header: def reverseDisplay(value):For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.

Write a recursive function to sort an array of integers into ascending order using the following idea: the function must place the smallest element in the first position, then sort the rest of the array by a recursive call. This is a recursive version of the selection sort. (Note: You will probably want to call an auxiliary function that finds the index of the smallest item in the array. Make sure that the sorting function itself is recursive. Any auxiliary function that you use may be either recursive or iterative.) Embed your sort function in a driver program to test it. Turn in the entire program and the output.

Using C write a program that uses a recursive function to find the  greatest common divisor  of two integers provided by the user. Example behavior: ./gcd Enter x: 24 Enter y: 32 The GCD of 24 and 32 is 8