
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
Consider the following three arithmetic sequences:

\[2, 11, 20, 29, \ldots\]

\[7, 15, 23, 31, \ldots\]

\[8, 19, 30, 41, \ldots\]

Determine the smallest (positive) common term of these three sequences!

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