
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 function \(f(x)\) satisfies that for any real number \(a\), \(f(a+1)=f(a) \cdot f(1)\), and \(f(1)=2\). Calculate the value of \(\dfrac{f(2018)}{f(2017)}+\dfrac{f(2019)}{f(2018)}+\dfrac{f(2020)}{f(2019)}\).

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