# Monotone Real Sequence/Examples

## Examples of Monotone Real Sequence

### Example: $\sequence {\paren {-1}^n}$

The first few terms of the real sequence:

$S = \sequence {\paren {-1}^n}_{n \mathop \ge 1}$

are:

$-1, +1, -1, +1, \dotsc$

$S$ is not monotone, either increasing or decreasing.