The sequence is .
The first term is .
The second term is .
The third term is .
The fourth term is .
The fifth 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 first increasing and then decreasing.
\Therefore, the sequence is not monotonic.
\The sequence is .
The terms in the sequence are bounded as .
Therefore, the sequence is bounded.
\Graph the sequence .
Observe the graph:
\The sequence is not monotonic.
\The sequence is bounded.
\The sequence is not monotonic and bounded.