Clip Theory

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What is the next term of the sequence $1, 2, 4, 8, 16, \cdots$? In this activity the next number is not $32$! This lesson touches on Euler's formula, pascal's triangle, and Gauss codes. This is an excerpt from J. Tanton, Mathematical Outpourings: Newsletters and Musings from the St. Mark’s Institute of Mathematics It is related to The Watermelon Problem