
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 function f(x) = x² - 4x, the sum of the first n terms of the sequence {a\_n} is S\_n = f(n), n ∈ N+.
(I) Find the general term formula for the sequence {a\_n};
(II) Let c_n = 2^(a_n), find the sum of the first n terms of the sequence {c_n}, T_n.

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