Definition:Increasing/Sequence

Definition

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

Then $\left \langle {x_n} \right \rangle$ is increasing iff:

$\forall n \in \N: x_n \le x_{n+1}$

Also see

• Strictly Increasing Sequence
• Decreasing Sequence
• Monotone Sequence

Sources

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