
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
Let \( a_1, a_2, \ldots \) be a sequence of rational numbers such that \( a_1 = 2 \) and for \( n \geq 1 \)
\[ a_{n+1} = \frac{1 + a_n}{1 - a_n} .\]

Determine \( 30 \times a_{2008} \).

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