
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
Let  $f_n$  be a sequence defined by  $f_0=2020$  and 
\[f_{n+1} = \frac{f_n + 2020}{2020f_n + 1}\]
for all  $n \geq 0$ . Determine  $f_{2020}$ .

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