
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
Suppose the sequence \(\{a_n\}\) satisfies:
\[ a_1 = \frac{1}{2}, \quad a_{n+1} = \frac{2a_n}{3a_n + 2} \quad (n \in \mathbf{Z}_{+}). \]
Then the value of \(a_{2017}\) is \(\qquad\).

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