Step 1: \ \

The sequence is .

The second term is .

The second term is .

The third term is .

The forth term is

The sequence is .

 A sequence is monotonic if its terms are non increasing .

The terms in the sequence

Hence, the sequence is monotonic.

Step 2: \ \

The sequence is .

The terms in the sequence are .

The sequence is between  to .

The upper bound of the sequence is .

.

The lower bound of the sequence is .

.

The sequence is bounded between .

The sequence is bounded.

Step 3: \ \

Graph the sequence .

\ \

Observe the graph: \ \

The sequence is bounded between to .

Solution: \ \

The sequence is monotonic and bounded.

Hence, the sequence is monotonic.

Consider the function .

Apply derivative on each side with respect to .

.