Author Archives: am618

Number theory problems can be some of the most difficult problems, but they are usually the most interesting and satisfying to solve. Recently, I was tasked with finding the solution to this problem: Find out which positive numbers cannot be expressed as the sum of two or more consecutive positive integers. The first thing weContinue reading “Sums of Consecutive Integers”

A topic that has resurfaced during my undertaking of calculus this year has been function composition. During the year, I have been drawn toward the concept of function composition, something that was evident to my father. One day, as we sat down to begin our class, he posed this problem to me: . Find .Continue reading “A Function Composition Problem”