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

Sources

• K.G. Binmore: Mathematical Analysis: A Straightforward Approach (1977)... (previous)... (next): $\S 4.15$