
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 3, 9, ..., 729, which of the following statements is correct? (Write down the numbers of all correct statements)
① This sequence can form an arithmetic sequence but cannot form a geometric sequence;
② This sequence can form a geometric sequence but cannot form an arithmetic sequence;
③ This sequence can form both an arithmetic and a geometric sequence;
④ This sequence can neither form an arithmetic sequence nor a geometric sequence.

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