$\"\"$

The sequence is $\"\"$ .

The first term is $\"\"$ .

The second term is $\"\"$ .

The third term is $\"\"$ .

The fourth term is $\"\"$ .

The sequence is $\"\"$ .

A sequence $\"\"$ is monotonic if its terms are non decreasing $\"\"$ or if its terms are non increasing $\"\"$ .

The terms in the sequence are $\"\"$ .

Therefore, the sequence is monotonic.

$\"\"$

The sequence is $\"\"$ .

The terms in the sequence are $\"\"$ .

The sequence is bounded as $\"\"$ .

The sequence is bounded.

$\"\"$

Graph the sequence $\"\"$ .

$\"\"$

Observe the graph:

The sequence is decreasing and it is monotonic.

The sequence is bounded as $\"\"$ .

$\"\"$

The sequence is monotonic and bounded.