Copyright © University of Cambridge. All rights reserved.

## 'Sixational' printed from http://nrich.maths.org/

The $n$^{th} term of a sequence is given by the
formula

$n^3 + 11n$.

Find the first four terms of the sequence given by this formula
and the first term of the sequence which is bigger than one
million.

Prove that all terms of the sequence are divisible by $6$.