
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 sequence {a_n}, the sequence of first differences {a_1, a_2-a_1, a_3-a_2, ..., a_n-a_{n-1}} forms a geometric sequence with the first term being 1 and the common ratio being 1/3. Find the general formula for a_n.

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