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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

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.

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