$\"\"$

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 terms in the sequence are increase with out bound.

The sequence is not bounded.

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Graph the sequence $\"\"$ .

$\"\"$

Observe the graph:

The sequence is increasing and it is monotonic.

The sequence is not bounded.

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The sequence is monotonic and not bounded.