The sequence is .

A sequence is monotonic if it is either increasing or decreasing.

Check whether the sequence is increasing or decreasing.

 for all .

.

.

For .

.

.

.

For .

.

.

.

.

Therefore, the sequence is neither increasing nor decreasing.

Hence the sequence is not monotonic.

The sequence is : .

The sequence is bounded if , where is any finite number.

is does not exist.

Therefore, the sequence is not bounded.

The sequence is nethier monotonic nor bounded.

The sequence is nethier monotonic nor bounded.