Tag Archives: homework

Sample Problem Solving + Homework Hints

Posted on November 21, 2011 by limsup

In this post, I’ll talk about basic number theory again. But I’ll still assume you already know modular arithmetic. 🙂  In the first part, there’ll be some sample solutions for number theoretic problems, some of which were already presented in … Continue reading →

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Number Theory Homework (2 Weeks)

Posted on November 14, 2011 by limsup

Homework problems for 5 Nov 2011: Let a1, a2, … be a series recursively defined as follows: a1 = 20, a2 = 11, and for n ≥ 1, an+2 is the remainder when an+1 + an is divided by 100. … Continue reading →

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Homework (29 Oct 2011)

Posted on November 4, 2011 by limsup

The homework for last week was a little harder than the prior one: Let n be a positive integer, . Prove that the sum of the divisors of n is a multiple of 24. Let N = 210 × 39 … Continue reading →

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Homework (22 Oct 2011)

Posted on October 27, 2011 by limsup

Here’re the problems: A square integer N ends in 4 identical digits d in its decimal representation, where . Find all possible values of d. For each admissable value of d, find a possible N. N is a perfect square whose second-to-last … Continue reading →

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