
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 ${a_n}$ with first term $a$ and common difference $d$. The solution set of the inequality $ax^2-3x+2<0$ is $(1,d)$.
(1) Find the general term formula $a_n$ of the sequence ${a_n}$;
(2) If $b_n$=$$3^{a_{n}}$$+a_{n}$-1, find the sum of the first $n$ terms $T_n$ of the sequence ${b_n}$.

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