Definition:Strictly Decreasing/Sequence/Real Sequence

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

Then $\sequence {x_n}$ is strictly decreasing :
 * $\forall n \in \N: x_{n + 1} < x_n$

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