
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 $\{a_{n}\}$ with a common difference greater than zero, it satisfies: $a_{3}a_{4}=48$, $a_{3}+a_{4}=14$.
(I) Find the general term formula for the sequence $\{a_{n}\}$;
(II) Let $b_{n}=(\sqrt{2})^{a_{n}}$, find the sum of the first $n$ terms, $T_{n}$, of the sequence $\{b_{n}\}$.

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