
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 $a\_1=2$, $a\_{n+1}= \frac{1+{a}\_{n}}{1-{a}\_{n}} ( n\in\mathbb{N}^{*})$, find the product of the first 2017 terms of the sequence, $a\_1 \cdot a\_2 \cdot a\_3 \cdot ... \cdot a\_{2017}=$_______.

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