Section 3.2.5, due October 24

The lemma 3.2.5.1 was a little confusing. I was not completely sure what it was saying. It was talking about the period, which I sort of understood to be how long until the sequence repeated. however the A_i, B_i, I could not figure out what that really was, or how it played into the following theorem.

However, one interesting aspect was how every infinite continued fraction was an irrational number. It makes sense that it could not be rational, but I had never thought about this before. I have seen continued fractions elsewhere, but I am still just starting to get a taste of what they are good for.