
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
In the geometric sequence {a<sub>n</sub>}, a<sub>1</sub> = $$\frac {1}{2}$$, a<sub>4</sub> = 4, n ∈ N*.
(I) Find the general term formula for the sequence {a<sub>n</sub>};
(II) Let b<sub>n</sub> = a<sub>n</sub> + n - 6, and the sum of the first n terms of the sequence {b<sub>n</sub>} is S<sub>n</sub>. If S<sub>n</sub> > 0, find the minimum value of n.

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