UNO High School Problem of the Week Competition

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Problem 5

Using mathematical induction, prove that n3 + 2n is a multiple of 3 for all positive integers n.

Students, email your solutions to jwarnke@unomaha.edu. Solutions are due by 11:59PM on Friday, October 9th, 2009. 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.
Don't forget to send your work along with your solutions!

Solution