
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 $f(a+b)=f(a)⋅f(b)$, and $f(1)=2$, find the value of $\frac {f(2)}{f(1)}+ \frac {f(4)}{f(3)}+ \frac {f(6)}{f(5)}+…+ \frac {f(2006)}{f(2005)}+ \frac {f(2008)}{f(2007)}+ \frac {f(2010)}{f(2009)}$.

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