
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
Estimate the year in which the population of Arcadia will be approximately 9,000, given that the initial population in the year 2010 was 250, and the population triples every 25 years after an initial 10-year period.

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