examday

/TMUA

The sequence $u_1,u_2,u_3,\ldots$ is defined by $u_n=n^2+kn$, where $k$ is a real constant.

Consider the two statements:

$P$: $k>-2$

$Q$: the sequence is strictly increasing, that is $u_{n+1}>u_n$ for every $n\geq1$

Which one of the following is true?