Definition:Increasing/Sequence/Real Sequence

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

Then $\left \langle {x_n} \right \rangle$ is increasing if


 * $\forall n \in \N: x_n \le x_{n+1}$

Also known as
Some sources refer to such a sequence as (monotone) non-decreasing.

Also see

 * Definition:Strictly Increasing Real Sequence
 * Definition:Decreasing Real Sequence
 * Definition:Monotone Real Sequence