
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 \((a_n)\) is defined as follows: \(a_1 = 2\), \(a_2 = 1\), and
\[a_n = \frac{2 - a_{n-1}}{3a_{n-2}}\] for all \(n \geq 3\). Find \(a_{60}\).

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