
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
Given the sequence $\{a\_n\}$ that satisfies $a\_n= \frac{a_{n-1}}{a_{n-2}}\ (n \in \mathbb{N}^*, n\geqslant 3)$, with $a\_1=2$ and $a\_5= \frac{1}{3}$, find the value of $a\_{2016}$.

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