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Delving Deeper
Delving Deeper: A Curious Sum with Interesting Dividends

Thomas Koshy 

August 2008, Volume 102, Issue 1, Page 76


A proof by mathematical induction used to prove a theorem about summing powers of 2 and then uses that theorem to solve a 2003 MT Calendar Problem. The aim of Delving Deeper is for teachers to pose and solve novel math problems, expand on mathematical connections, or offer new insights into familiar math concepts. Delving Deeper focuses on mathematics content appealing to secondary school teachers. It provides a forum that allows classroom teachers to share their mathematics from their work with students, their classroom investigations and products, and their other experiences. Delving Deeper is a regular department of Mathematics Teacher.


Higher Education
Grades 9-12
Math Coordinator / Coach
Problem Solving / Problem Posing
Reasoning and Proof
Sequences / Series