Answer
The sequence is not bounded and not monotonic.
Work Step by Step
$a_{n} = n(-1)^{n}$
The terms of the sequence:
$-1, 2, -3, 4, -5,...$
The sequence is not monotonic because the terms are alternating.
$\lim\limits_{n \to \infty}|a_{n}| = \lim\limits_{n \to \infty} n = \infty$
Thus the sequence is not bounded.
