UNO High School Problem of the Week Competition

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Problem 9

The algebraic sum of 16 consecutive, strictly positive integers is a perfect cube. Find the smallest value for the sum of these integers.

Don't forget to show your WORK with your solution!

Students, email your solutions to UNOhighschoolpow@mail.unomaha.edu.
Solutions are due by 11:59PM on Friday Septmeber 17th, 2010.

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.

Solution