$\"\"$

The first term of the sequence is $\"\"$ .

The recursive formula is $\"\"$ .

Find terms of the sequence.

$\"\"$ .

The first eight terms of this sequence are $\"\"$ and $\"\"$ .

It appears that when $\"\"$ is odd, $\"\"$ is $\"\"$ and when $\"\"$ is even, $\"\"$ is $\"\"$ .

Since $\"\"$ does not approach one particular value, the sequence has no limit.

Therefore, the sequence is divergent.

$\"\"$

The sequence is divergent.