
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 $\{ a_{n} \}$ that satisfies $a_{2}=3$, $a_{4}+a_{5}=16$.

(1) Find the general term formula for $\{ a_{n} \}$;

(2) Let $b_{n}=2^{a_{n}-1}$, and denote the product of the first $n$ terms of the sequence $\{ b_{n} \}$ as $T_{n}$. Find $T_{n}$.

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