Definition:Decreasing/Sequence

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

Then $\left \langle {x_n} \right \rangle$ is decreasing iff:
 * $\forall n \in \N: x_{n+1} \le x_n$

Also see

 * Strictly Decreasing Sequence
 * Increasing Sequence
 * Monotone Sequence