Sixational

The nth 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.

Problem



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 $6$.