2014 · Q2
The difference of two consecutive cubes
Elementary MathematicsNumber System
- Ais odd or even
- Bis never divisible by 2
- Cis always even
- DNone of the above
Explanation
(n+1)^3 - n^3 = 3n^2 + 3n + 1 = 3n(n+1) + 1; n(n+1) is even, so the difference is odd, hence never divisible by 2.