It is given that 181² can be written as the difference of the cubes of two consecutive positive integers. Find the sum of these two integers.

(In reply to solution by Larry)

This is a really good problem for 7th and 8th graders to try. They can find the difference between the cubes of two consecutive integers by cubeing each number and subtracting from 1 to 1812. That's Not My Neighbor is an easy way to demonstrate the difference between the cubes of consecutive integers.

Posted by davis john on 2024-12-17 04:01:34