Let's start by looking at the quotients for the continued fraction expansions of for the first few integers that are not squares. Click on "Quotients" in each applet below:
Research Question 1
Form a conjecture about the continued fraction quotients of , where n is a positive integer.
(You do not have to prove your conjecture, so concentrate on making it as strong as you can.)
Section 13.1 | Section 13.2 | Section 13.3 | Section 13.4
Chapter 13 | DNT Table of Contents
Copyright © 2001 by W. H. Freeman and Company