UNO High School Problem of the Week Competition

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Problem 5


Prove by induction that

n! > 2n for n > 3

If help is needed for induction reference Mathematical Induction on Wikipedia.

Don't forget to show your WORK with your solution!
Also, it is preferred that all solutions be presented in either
a rich text format (RTF) or a portable document format (PDF).

Students, email your solutions to UNOhighschoolpow@mail.unomaha.edu.
Solutions are due by 11:59PM on Friday October 14th, 2011.

Along with your solution, include your name, your school's name,
the name of your math teacher or math club moderator, and your year in school.