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Delving Deeper
Delving Deeper: Relations among Powers of 2, Combinations, and Symbolic Algebra

Yukio Kobayashi 

April 2006, Volume 99, Issue 8, Page 576

Abstract:
Methods for showing that the sum of the entries in the nth row of Pascal's triangle is 2n. Article also includes "Phone Trees" by James Metz, that describes a representation that allows one to keep track of the terms in a sequence and their running total at the same time.

Keywords:
Article
Conceptual Development
Connections / Applications
Grades 9-12
Permutations / Combinations / Counting Problems
Teacher
Problem Solving / Problem Posing