## Reading Math

First, a recent gem from MathStackExchange:

Task:Calculate $latex \displaystyle \sum_{i = 1}^{69} \sqrt{ \left( 1 + \frac{1}{i^2} + \frac{1}{(i+1)^2} \right) }$ as quickly as you can with pencil and paper only.

Yes, this is just another cute problem that turns out to have a very pleasant solution. Here’s how this one goes. (If you’re interested – try it out. There’s really only a few ways to proceed at first – so give it a whirl and any idea that has any promise will probably be the only idea with promise).

Posted in Expository, Georgia Tech, Mathematics, SE, Story
Tagged AP, Brown, education, GA Tech, Georgia Tech, math, math education, math.stackexchange, MSE, science, SMHS, Starr's Mill High School, vent
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