Problem
State whether the sequence, whose $n$th terms are indicated, is bounded and whether it is eventually monotone, increasing, or decreasing. (Select all that apply.) $\cos \left(n^{2}\right)$ bounded not bounded monotone not monotone increasing decreasing
Solution
Step 1 ：State whether the sequence, whose $n$th terms are indicated, is bounded and whether it is eventually monotone, increasing, or decreasing. (Select all that apply.) $\cos \left(n^{2}\right)$
Step 2 ：The sequence $\cos \left(n^{2}\right)$ is \(\boxed{\text{bounded}}\) and \(\boxed{\text{not monotone}}\). It is neither increasing nor decreasing.
