MIT6_042JF10_rec02

MIT6_042JF10_rec02 - 6.042/18.062J Mathematics for Computer...

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6.042/18.062J Mathematics for Computer Science September 15, 2010 Tom Leighton and Marten van Dijk Problems for Recitation 2 1 Problem: A Geometric Sum Perhaps you encountered this classic formula in school: 2 3 n 1 r n +1 1 + r + r + r + ... + r = 1 r First use the well ordering principle, and then induction, to prove that this formula is correct for all real values r = 1. ̸ Prepare a complete, careful solution. You’ll be passing your proof to another group for “constructive criticism”!
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Recitation 2 2 2 Problem: Surveyevor In a new reality TV series called Surveyevor , a group of contestants is placed on a small island. Before the series begins, each contestant agrees to have a small purple or red tattoo, in the shape of an eye, applied to the middle of his or her forehead. In all, there are p 1 purple eyes and r 0 red eyes. However, none of the contestants knows the color of his or her third eye, nor how many total purple and red eyes there are. Furthermore, there
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This note was uploaded on 01/19/2012 for the course CS 6.042J / 1 taught by Professor Tomleighton,dr.martenvandijk during the Fall '10 term at MIT.

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MIT6_042JF10_rec02 - 6.042/18.062J Mathematics for Computer...

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