Definition:Decreasing/Sequence/Real Sequence

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

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

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

Some sources refer to such a sequence as (monotone) non-increasing.

Also see

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