
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
It is known that the arithmetic mean of the first 9 terms of an arithmetic sequence is 10, and the arithmetic mean of the first 10 terms is 13. Find the common difference of this arithmetic sequence.

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