A Runner's Revenge

Team: 
Pi Runners
Topic: Sequences, Series and Patterns
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Dorothy an Christy make an ill-advised bet on who can run 26 miles the fastest.† Sedona helps Dorothy slow Christy down in results in a very interesting mathematical pattern!† Who will ultimately prevail?

Common Core Standards: F-BF.2
Problem #: 
233 (2013-2014)
Problem Difficulty Level: 5 [?]