Consider three distinct odd positive integers A, B and C - none of which is a perfect cube.

Can the respective cube roots of A, B and C form three consecutive terms of an arithmetic sequence?

If so, provide an example. If not, prove it.

(In reply to re(2): computer solutios by Charlie)

The corrected program still does not comply with the explicit definition: A, B and C - none of which is a perfect cube.

Posted by Ady TZIDON on 2013-09-29 20:44:51