
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 a sequence $\{a\_n\}$ that satisfies $$a_{1}+ \frac {a_{2}}{2}+ \frac {a_{3}}{2^{2}}+…+ \frac {a_{n}}{2^{n-1}}=2^{n+1}-2$$ (n∈N*), and $b\_n$ = log₆₀$a\_n$.
(I) Find the general term formula for the sequence $\{a\_n\}$;
(II) Find the sum of the first n terms, $T\_n$, for the sequence $\{ \frac {1}{b_{n}\cdot b_{n+1}}\}$.

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