$\"\"$

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 alternating series.

Therefore, the sequence is not monotonic.

$\"\"$

The sequence is $\"\"$ .

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

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

The sequence is bounded.

$\"\"$

The sequence is not monotonic but bounded.