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Tag Archives: homework
Sample Problem Solving + Homework Hints
In this post, I’ll talk about basic number theory again. But I’ll still assume you already know modular arithmetic. ðŸ™‚Â In the first part, there’ll be some sample solutions for number theoretic problems, some of which were already presented in … Continue reading
Number Theory Homework (2 Weeks)
Homework problems for 5 Nov 2011: Let a1, a2, … be a series recursively defined as follows: a1 = 20, a2 = 11, and for n â‰¥ 1, an+2 is the remainder when an+1 + an is divided by 100. … Continue reading
Homework (29 Oct 2011)
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 Ã— 39 … Continue reading
Homework (22 Oct 2011)
Here’re the problems: A square integer NÂ 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. NÂ is a perfect square whose secondtolast … Continue reading