
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
A library had 600 visitors in the first month and a total of 2850 visitors by the end of the third month. If the monthly average growth rate of visitors is $x$, formulate the equation that relates the initial number of visitors to the final number of visitors.

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