
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
In a specific culture of algae, the population triples every day. The culture starts with 5 algae, and has 15 at the end of day 1, 45 at the end of day 2, and continues in this manner. Determine the number of the first day which ends with the colony having more than 2000 algae.

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