
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 the sequence $\{a_n\}$ is an arithmetic sequence with a non-zero common difference, $a_1=2$, and $a_2$, $a_4$, $a_8$ form a geometric sequence.
(I) Find the general term of the sequence $\{a_n\}$.
(II) Suppose the sequence $\{b_n - a_n\}$ is a geometric sequence, and $b_2 = 7$, $b_5 = 91$, find the sum of the first n terms of the sequence $\{b_n\}$, denoted as $T_n$.

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