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 sequnce is cosine function it oscillates between
.
Therefore, the sequence is not monotonic.
\The sequence is
.
The sequence is bounded between
.
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.