Write a C++ recursive function PrintPattern3 to print following pattern using recursion. No loops allowed whatsoever, and you can write maximum two functions apart from main function. For example, calling your function with these argument PrintPattern1(1,5) should print following pattern. Your function prototype must be as follows recursive function. void PrintPattern3(int start, int end);

code in python program please Write a function that takes one integer parameter, makes sure it is an integer, prints sum of every two digits and return the sum of digits from the number entered by the user up to 1, using recursion.Sample input: 4 Sample output: 4+3 = 77+2 = 99+1 = 10

Write a C++ recursive function int fib(int n) that returns the value of the n’th Fibonaccinumber . Do not use a loop. Test it in the main program, not in the function.The Fibonacci sequence is0 1 1 2 3 5 8 13 21…Each Fibonacci number is the sum of the preceding two Fibonacci numbers.

Please written by computer source  solve the question in python

Explain in detail how this recursive function works: Program description: The program counts then number of 7's in a number   C++ code: #include <iostream>using namespace std;//definig numSevens functionint numSevens(int s){//checking if number is 0if(s==0)//returning 0return 0;//checking if last digit is 7else if(s%10==7)//returning 1 and recursively calling numSevens function for the next digitreturn(1+numSevens(s/10));else//returning 0 and recursively calling numSevens function for the next digitreturn(0+numSevens(s/10));}int main(){//calling numSevens function for a sample value and printing resultcout<<numSevens(47364778)<<endl;return 0;}

In C++ Consider the following recursive function (Chapter 17, #9, modified)   void recFun(int x) {       if (x > 10)       {            recFun(x / 10);            cout<< x % 10;       }       else            cout<< x; }   How can the code be modified so that the sum of all digits is printed?

Need some help with this c++ problem 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 211 and you know that 210 = 1024, then 211 = 2 × 1024 = 2048. Based on this observation, write a recursive function int pow2(int n) where n is the exponent. If the exponent is negative, return -1. int pow2(int n) {        ..... }

Please answer in c++

1. You are to create a well-formed Python recursive function (i.e, there must be a stopping/base case and the recursive case must present a smaller problem), along with a call to that function. 2. Trace your function and call. Remember that you must keep track of memory for each function call and provide output. How would I trace a function? and keep track of its memory for each function call?

Below, enter code to complete implementation of a recursive function palindrome() that determines whether an input string is a palindrome or not: 3. palindrome(s):