Definition:Increasing/Sequence/Real Sequence

Definition
Let $\sequence {x_n}$ be a sequence in $\R$.

Then $\sequence {x_n}$ is increasing :


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

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