
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 $a\_n (n=2,3,4,…)$ be the coefficient of the $x$ term in the expansion of $(3- \sqrt {x})^{n}$. Find the value of $\frac{\frac{a\_2}{3^{2}} + \frac{a\_3}{3^{3}} +…+ \frac{a\_{2015}}{3^{2015}}}{A\_{2016}^{3}}$.

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