
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>} where the sum of the first n terms is S<sub>n</sub>, a<sub>3</sub> = 4, and S<sub>6</sub> = 27.
(1) Find the general term formula for {a<sub>n</sub>};
(2) Let $$b_{n}=2^{a_{n}}$$, and denote T<sub>n</sub> as the sum of the first n terms of the sequence {b<sub>n</sub>}. If T<sub>m</sub> = 124, find m.

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