
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
The sequence $\{a_n\}$ is a geometric progression with a common ratio of 3, and the product of its terms $a_1a_4a_7…a_{28} = 3^{100}$. Find the product $a_3a_6a_9…a_{30}$.

A) $3^{100}$
B) $3^{110}$
C) $3^{120}$
D) $3^{130}$

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