
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<sub>n</sub>} with the sum of its first n terms denoted as S<sub>n</sub>, and S<sub>n</sub> = n<sup>2</sup>.

1. Find the general formula for the nth term of the sequence {a<sub>n</sub>}.
2. If b<sub>n</sub> = (1/2)<sup>a<sub>n</sub></sup>, find the sum of the first n terms of the sequence {b<sub>n</sub>}, denoted as T<sub>n</sub>.

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