Question 6 of 19 Python
The factorial of a positive integer n,
fact(n), is defined recursively as follows:
fact(n) 51, when n51
fact(n) 5n * fact(n21), otherwise
Define a recursive function fact that returns the
factorial of a given positive integer.
Hey here is answer to your question.
In case of any doubt comment below. Please UPVOTE if you Liked the answer.
def fact(n):
if n == 1 or n==0:
return 1
else :
return n*fact(n-1)
print(fact(3))
print(fact(4))
print(fact(5))
print(fact(6))
Question 6 of 19 Python The factorial of a positive integer n, fact(n), is defined recursively...
Written in expanded form, the usual factorial function is n! = n middot (n - 1) middot (n - 2) ... 3 middot 2 middot 2 middot 1. The difference between elements in the product is always 1. It can be writ in recursive form as n! = n middot (n - 1)! (e.g., 10! = 10 middot 9!, 23! * 23 middot 22!, 4! = 4 3!, etc.). The purpose of this problem is to generalize the factorial function...
Using Python, write a function recur, which on input a positive integer n retuns the value Bn defined as follows. You can assume that the function is only called with positive integer arguments. B1 = 5, B2 = 4 B2 = Bn-1* Bn-2 if n is divisible by 3 B3 = Bn-1 + Bn-2 otherwise *Please go step by step with explanation*
C++
3. Write a program that recursively calculates n factorial (n!) a) Main should handle all input and output b) Create a function that accepts a number n and returns n factorial c) Demonstrate the function with sample input from console. n! n * n-1 * n-2 * n-3, for all n > 0 For example, 3!-3 21-6 using a recursive process to do so. Example output (input in bold italics) Enter a number: 5 5120
Question 10. Consider the function defined by f(n) = 2n where n is a positive integer. (i) Can this function be computed by a Turing machine? Why or why not? ( ii) Is this function primitive recursive? Why or why not?
Given the sequence an defined recursively as follows: an 3an-1+2 for n 2 1 Al Terms of a Sequence (5 marks) Calculate ai , аг, аз, а4, а5 Keep your intermediate answers as you will need them in the next question. A2 Iteration (5 marks) Using iteration, solve the recurrence relation when n21 (i.e. find an analytic formula for an). Simplify your answer as much as possible, showing your work and quoting any formula or rule that you use. In...
The following recursive method factRecursive computes the factorial of positive integer n. Demonstrate that this method is recursive. public static int factRecursive(int n) { int result = 0; if (n == 0) { result = 1; } else { result = n * factRecursive(n - 1); } return result; }
Consider Fibonacci number F(N), where N is a positive integer, defined as follows. F(1) = 1 F(2) = 1 F(N) = F(N-1) + F(N-2) for N > 2 a) Write a recursive function that computes Fibonacci number for a given integer N≥ 1. b) Prove the following theorem using induction: F(N) < ΦN for integer N≥ 1, where Φ = (1+√5)/2.
5. (10 points) The factorial of a nonnegative integer n is written n! and is defined as follows. n 2) ..1 (for values of n greater than 1) nn (n-l) and n-# 1 (for n 0 or n-1) l. Write a program that reads a nonnegative integer and computes and prints its factoria
Please do it in python
Question 34 Write a recursive function fac2(n) to compute the factorial of n. n!-1 23 ".. (n-1) t n ni # n * (n-1) * " 3 * 2 * 1 orn
PYTHON Fractal Drawing We will draw a recursively defined picture in this program. Create a function def fractal(length, spaces). This function will print out a certain number of stars * and spaces. If length is 1 print out the number of spaces given followed by 1 star. If the length is greater than one do the following: Print the fractal pattern with half the length and the same number of spaces. Print the number of spaces given followed by length...