Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Find the output of the following recursive functions. Exercises Given the following recursive function, find the output for the specified input. 1) FACTORIAL(n): returnnFACTORIAL(n1) Find

Find the output of the following recursive functions.

image text in transcribed

image text in transcribed

Exercises Given the following recursive function, find the output for the specified input. 1) FACTORIAL(n): returnnFACTORIAL(n1) Find FACTORIAL (5). 2) GCD(x,y) : if (x%y=0), return y else, return GCD(y,x%y) Find GCD(24,72). 3) POW(x,n) : if (n=1), return x else return x POW (x,n1) Find POW (5,4). 4) ACKERMANN(x,y) : if (x=0), return y+1 else if ((x>) and (y=0)), return ACKERMANN(x1,1) else if ((x>0) and (y>)), return ACKERMANN(x1,ACKERMANN(x,y1)) Find ACKERMANN(3,2). 5) PAY_TOLLS(n): if (n=10), return 2 else if (n=5), return 1 else, return PAY_TOLLS (n5)+ PAY_TOLLS (n10) Find PAY_TOLLS(40). 6) Give a recursive function for finding the sum of the first n odd positive integers. Use a similar notation to the previous recursive functions in Exercises 1 through 5 above. Given the following recursively defined functions, find the output for the specified input. 7) Find f(1),f(2), and f(3), if f(n) is defined recursively by f(0)=2 and for n=0,1,2, a) f(n+1)=f(n)+2 b) f(n+1)=3f(n) c) f(n+1)=2f(n) 8) Find f(2),f(3), and f(4), if f(n) is defined recursively by f(0)=1, f(1)=2 and for n=2,3, a) f(n+1)=f(n)+3f(n1) b) f(n+1)=f(n)2f(n1)

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Spomenik Monument Database

Authors: Donald Niebyl, FUEL, Damon Murray, Stephen Sorrell

1st Edition

0995745536, 978-0995745537

More Books

Students also viewed these Databases questions