
Computer Science Computer Science Forum 
 LinkBack  Thread Tools  Display Modes 
February 14th, 2012, 06:08 AM  #1 
Newbie Joined: Oct 2009 Posts: 14 Thanks: 0  Induction  prove that an explicit function is correct
The task: Write down an explicit definition of the function h, where h(0) = 0 and h(n + 1) = 3 * h(n) + 1. (Hint: compare to the sequence 1, 3, 9, 27, 81, ....) Use induction to prove that your formula is correct. So, I found out that a function f(n) = (3^n  1) / 2 is the explicit function describing the function h (please correct me if I am wrong). The problem now is to prove that the function I found is correct. I have figured out the base step, I think, which was to show that h(1) = f(1). But about the induction step, am I suppose to show that h(n+1) = f(n+1) ? 
February 14th, 2012, 11:31 AM  #2  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 930 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Induction  prove that an explicit function is correct Quote:
 

Tags 
correct, explicit, function, induction, prove 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
prove : the student's answer is not correct  Albert.Teng  Algebra  4  November 9th, 2013 07:47 AM 
Proving explicit function  philip  Algebra  10  January 14th, 2012 06:08 AM 
Prove by induction  Sissy  Applied Math  2  November 25th, 2010 10:55 AM 
is it an explicit function?  khyratmath123  Math Software  1  January 27th, 2010 05:28 PM 
is it an explicit function or not?  khyratmath123  Calculus  4  January 10th, 2010 06:16 AM 