Barge Math Competition - Fall Semester

Week 5’s Problem: Doing Things in Sequence

Let a, b, and c be the cube roots of three distinct prime numbers. Can a, b, and c ever be three terms of an arithmetic progression?

Notes:

1) An arithmetic progression is of the form m, m + n, m + 2n, … , m + kn,

2) The numbers a, b, and c, do not need to be consecutive terms in the progression

How to submit your answer:

Bring your solution to the Math Department office in 230 Pardee, or send it by email to Ethan Berkove at berkovee@lafayette.edu. Problem #5 is due by the end of the day on Friday, March 10 (right before spring break!)