
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<sub>n</sub>} where the sum of the first n terms is S<sub>n</sub>, and a<sub>2</sub> = 17, S<sub>10</sub> = 100.
(I) Find the general term formula for the sequence {a<sub>n</sub>};
(II) If sequence {b<sub>n</sub>} satisfies b<sub>n</sub> = a<sub>n</sub>cos(nπ) + 2<sup>n</sup> (n ∈ N*), find the sum of the first n terms for sequence {b<sub>n</sub>}.

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