
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 a function $f(x) = \frac{ax+b}{cx+d}$ ($c \neq 0$), the center of symmetry for the graph of $f(x)$ is $(-\frac{d}{c}, \frac{a}{c})$. It is known that $f(x) = \frac{2-2x}{2x-1}$ and the general term of the sequence $\{a_n\}$ is $a_n = f(\frac{n}{2017})$ for $n \in \mathbb{N}$. Calculate the sum of the first 2017 terms of this sequence.

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