
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 $f(x)$ satisfies $f(a+b)=f(a)\cdot f(b)$ for any real numbers $a$ and $b$, and $f(1)=2$, determine the value of $\dfrac{f(2)}{f(1)}+\dfrac{f(4)}{f(3)}+\dfrac{f(6)}{f(5)}+\ldots+\dfrac{f(2018)}{f(2017)}$.

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