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 .

.

.

.

.

Since  for all , the sequence is decreasing.

Hence the sequence is monotonic.

The sequence is : .

The sequence is bounded if .

.

Therefore, the sequence is bounded.

The sequence is monotonic and bounded.