Copyright © University of Cambridge. All rights reserved.

'Triangle of Squares' printed from

Show menu

The number at the end of the $n$th row is $n^{2}$,
so $400$ will lie at the end of the $20$th row.

The row below will end in $21^{2}$, i.e. $441$

So the number directly below $400$ will be $440$.

This problem is taken from the UKMT Mathematical Challenges.