
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 S<sub>n</sub> is the sum of the first n terms of the arithmetic sequence {an}, if a<sub>1</sub>=-2014, and (S<sub>2014</sub>)/2014 -(S<sub>2008</sub>)/2008=6, find S<sub>2017</sub>.

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