Definition:Monotone (Order Theory)/Sequence/Real Sequence

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

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

Also known as
This can also be called a monotonic sequence.

Also see

 * Strictly Monotone Real Sequence