
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
If $f(a+b)=f(a)f(b)\ (a,b\in\mathbb{N^{*}})$, and $f(1)=2$, then find the value of $\frac{f(2)}{f(1)}+\frac{f(4)}{f(3)}+\cdots +\frac{f(2014)}{f(2013)}=\_\_\_\_\_\_\_\_\_\_\_\_\_.$

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