
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 that $\{b_n\}$ is a geometric sequence, with $b_5=2$, it follows that the product of the first nine terms $b_1b_2b_3\ldots b_9=2^9$. If $\{a_n\}$ is an arithmetic sequence with $a_5=2$, the analogous conclusion for this sequence would be ______.

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