President Polynomial Has Been Poisoned!

Team: 
PolyMa+hema+1c5
Topic: Sequences, Series & Patterns
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George Polynomial, the President of the United States of Polygonica, has been poisoned! Will he survive or will meet his doom? Join the mathematician as he works to solve the problem... but will the doctor find the cure? Watch and find out!

Common Core Standards: F-LE.1
Problem #: 
206 (2013-2014)
Problem Difficulty Level: 4 [?]