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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 are no mirrors and no one is allowed to discuss the
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MIT6_042JF10_rec02 - 6.042/18.062J Mathematics for Computer...

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