
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 that the sum of the first $n$ terms of the sequence $\{a\_n\}$ is $S\_n$, and $S\_n+ \frac {1}{2}a\_n=1(n∈N^{+})$
(I) Find the general term formula of the sequence $\{a\_n\}$;
(II) Let $b\_n=log\_ {\frac {1}{3}}(1-S_{n+1})(n∈N^{+})$, and $T\_n= \frac {1}{b\_1b\_2}+ \frac {1}{b\_2b\_3}+…+ \frac {1}{b\_nb_{n+1}}$, find $T\_n$.

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