Definition:Strictly Decreasing/Sequence/Real Sequence

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

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

Also known as
A strictly decreasing sequence is also referred to as strictly order-reversing.

Also see

 * Definition:Decreasing Real Sequence


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