
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
The function $f(x)$ satisfies $f(a+b) = f(a) \cdot f(b)$ for any real numbers $a$ and $b$, and $f(1) = 2$. Evaluate $\frac{f(2)}{f(1)} + \frac{f(4)}{f(3)} + \frac{f(6)}{f(5)} + \dots + \frac{f(2014)}{f(2013)}$.

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