
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 $f(x)= \sqrt {3}\cos{\pi x}-\sin{\pi x}$ (x∈R), its all positive zeros form an increasing sequence {a<sub>n</sub>} (n∈N*).
(1) Find the general term formula for the sequence {a<sub>n</sub>};
(2) Let $b_{n}=( \frac {1}{2})^{n}(a_{n}+ \frac {2}{3})$, find the sum of the first n terms T<sub>n</sub> for the sequence {b<sub>n</sub>}.

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