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

nis 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

Copyright © 2001 by W. H. Freeman and Company