
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: $a_1=2$, $a_{n+1}=1-\frac{1}{a_n}$, let $T_n$ denote the product of the first $n$ terms of the sequence. Determine the value of $T_{2016}$.

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