
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 arithmetic sequence $\{a_n\}$, the sum of its first $n$ terms is $S_n$. It is also known that $\frac{S_{2016}}{2016} - \frac{S_{2015}}{2015} = 3$. Determine the value of $a_{2016} - a_{2014}$.

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