
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 denoted as $S_n$, and the points $(n, \frac{S_n}{n}) (n \in \mathbb{N}^*)$ all lie on the line $y = x + \frac{1}{2}$.
1. Find the general term formula for the sequence ${a_n}$.
2. If $b_n = 3^{a_n + \frac{1}{2}}$ and $T_n$ is the sum of the first $n$ terms of the sequence ${b_n}$, find $T_n$.

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