Definition:Strictly Monotone/Sequence

Definition
Let $\left \langle {x_n} \right \rangle$ be a sequence in $\R$.

Then $\left \langle {x_n} \right \rangle$ is strictly monotone if it is either strictly increasing or strictly decreasing.

Also see

 * Increasing Sequence
 * Decreasing Sequence
 * Monotone Sequence