
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A sequence \(\left\{a_{n}\right\}\) is defined by \(a_1 = 2\) and \(a_{n} = \frac{1 + a_{n-1}}{1 - a_{n-1}}\) for \(n \geq 2\). Find the value of \(-2008 a_{2007}\).

Present the answer in LaTex format: \boxed{Your answer}
user