
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 the sequence $\{a\_n\}$ satisfying $(a\_1=3)$, $(a_{n+1}-3a_{n}=0)$.
(I) Find the general term formula for the sequence $\{a\_n\}$;
(II) If the sum of the first $n$ terms of an arithmetic sequence $\{b\_n\}$ is $T_{n}$, and it satisfies $(b_{1}=a_{1})$, $(b_{7}=b_{1} \cdot b_{2})$, find $T_{n}$.

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