Unformatted text preview: Putnam Exam Seminar
Fall 2010 Assignment 1
Due September 8 Exercise 1. Deﬁne a sequence {an } by a1 = 1 and an+1 = cos [arctan(an )] for n ≥ 1. Find
a formula for an and determine lim an .
n→∞ n Exercise 2. Let n ≥ 1. Prove that 22 − 1 has at least n distinct prime factors. ...
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This note was uploaded on 02/29/2012 for the course MATH 1190 taught by Professor Ryandaileda during the Fall '10 term at Trinity University.
 Fall '10
 RyanDaileda

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