Definition:Strictly Decreasing/Sequence

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

Then $\left \langle {x_n} \right \rangle$ is strictly decreasing (or strictly order-reversing) if:
 * $\forall n \in \N: x_{n+1} < x_n$

Also see

 * Decreasing Sequence
 * Strictly Increasing Sequence
 * Strictly Monotone Sequence