Definition:Monotone (Mapping Theory)/Sequence

Definition

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

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

Notes

This can also be called a monotonic sequence.

Also see

• Strictly Monotone Sequence

Sources

• K.G. Binmore: Mathematical Analysis: A Straightforward Approach (1977)... (previous)... (next): $\S 4.15$