Recursive Sum! Write a recursive function rc_sum(n:int) -> int that returns the sum of the first n positive integers. The function should look very similar to the factorial function you have seen before.
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- (Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.Recursive Copy Function Given a string str and number n, write a program that recursively appends a copy of string str n times and returns the resulting string. For example: RecuriveCopy("a", 10)//-> "aaaaaaaaaaa"RecursiveCopy("blah",5)//-> "blahblahblahblahblahblah" Please complete the following function. n is the number of copies to add to str: function RecursiveCopy(str, n) {// your code here} The problem must satisfy the following: You must use recursion. You should end up with n+1 copies of the str total in the output because you are appending additional str copies. Use string literal formatting for the output.2. Sum: a recursive function that computes the sum of integers 1, 2, 3, …., n for a given number n. So Sum(6) should return 1 + 2 + 3 + 4 + 5 + 6 , i.e. 21.sum(n) = n + sum(n-1)
- def sum ( lst ): """ Sums a list of numbers .""" if len ( lst ) == 0: return 0 return lst [0] + sum ( lst [1:]) def factorial ( number ): """ Returns the factorial value of any number """ if (( number == 0) or ( number == 1)): return 1 else : return number * factorial ( number - 1) Write down a tail recursive implementation of the function sum in python language. You can use the helper function in your solution. Write down a tail recursive implementation of the function factorial in python language.For function addOdd(n) write the missing recursive call. This function should return the sum of all postive odd numbers less than or equal to n. Examples: addOdd(1) -> 1addOdd(2) -> 1addOdd(3) -> 4addOdd(7) -> 16 public int addOdd(int n) { if (n <= 0) { return 0; } if (n % 2 != 0) { // Odd value return <<Missing a Recursive call>> } else { // Even value return addOdd(n - 1); }}For function decToBinary, write the missing parts of the recursion case. This function should return a string that stores the binary equivalent for int variable num. Example: The binary equivalent of 13 may be found by repeatedly dividing 13 by 2. So, 13 in base 2 is represented by the string "1101". Examples: decToBinary(13) -> "1101" public String decToBinary (int num) { if (num < 2) return Integer.toString(num); else return <<Missing recursive call>> + <<Missing calculation>>;}
- Write a RECURSIVE function, without using any loops, that prints the contents of a matrix with 3 columns. The function should take the matrix and the number of rows as arguments. void print_matrix(int arr[][3], int num_rows);Write a recursive function definition for the following function: int squares(int n); //Precondition: n >= 1 //Returns the sum of the squares of numbers 1 through n. For example, squares(3) returns 14 because 12 + 22 + 32 is 14.What type of recursion is used in the following function? int f(int n){ if (n==1) return 1; else return n+f(n-1); } Tail recursion Multiple recursion Indirect recursion Non-tail recursion
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