
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 an arithmetic sequence $\{a_n\}$ where $a_2 = 8$, and the sum of the first 10 terms $S_{10} = 185$,  
(1) Find the general formula for the sequence $\{a_n\}$.  
(2) If a new sequence $\{b_n\}$ is formed by taking the 3rd, 9th, 27th, ... , $3^n$th term of the sequence $\{a_n\}$ in the original order, find the sum of the first $n$ terms $T_n$ of the sequence $\{b_n\}$.

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