
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>} with a non-zero common difference, a<sub>1</sub> = 2 and a<sub>2</sub>, a<sub>4</sub>, a<sub>8</sub> form a geometric sequence.
(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> = $$\frac {a_{n}}{2}$$•$$2^{a_{n}}$$, and the sum of the first n terms of b<sub>n</sub> is T<sub>n</sub>, find T<sub>n</sub>.

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