Definition:Strictly Increasing/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 increasing if


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

Also see

 * Increasing Real Sequence
 * Strictly Decreasing Real Sequence
 * Strictly Monotone Real Sequence