Tuesday, October 11, 2011

Section 3.1.4b Due on October 12, 2011

1. What was the most difficult part of the reading for you?
Well, I'm not sure if this is the MOST difficult part, but something that seems really basic and is probably important that I didn't understand was really close to the beginning of the reading. So, on page 72, at the beginning of the proof of the Binet formula, it begins by stating x^2-x-1=0, which we know about the golden ratio from deriving it. BUT, right after that, it says "It follows that..." and gives two equations that supposedly "follow" from what was said above, and I do not get it. Where did these come from? HOw did they come from what was said above? It is frustrating for me because I don't understand how these came to be, and I feel like they're pretty important to the rest of what is being proven. Boo.

2. What was the most interesting part of the reading for you?
I guess that for me the most interesting part of the reading was Corollary 3.1.4.1 where we look at the limit of one Fibonacci number over the previous one, as the limit goes to infinity, and how that equals the golden ratio. Also, I thought that the form in which the golden ratio is written (1+1/1+1/....) was pretty interesting.

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