
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 that $\{a_n\}$ is an arithmetic sequence, and $S_n$ is the sum of the first $n$ terms of the sequence $\{a_n\}$. In the plane, three non-collinear vectors $\overrightarrow{OA}$, $\overrightarrow{OB}$, $\overrightarrow{OC}$ satisfy $\overrightarrow{OC}=(a_{17}-3) \overrightarrow{OA}+a_{2001} \overrightarrow{OB}$. If points $A$, $B$, $C$ are on the same line, find the value of $S_{2017}$.

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