
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
Let ${S_n}$ be the sum of the first $n$ terms of the sequence ${a_n}$, given that ${a_1}=3$, ${a_{n+1}}=2{S_n}+3 (n\in N^*)$.

(I) Find the general term formula for the sequence ${a_n}$;

(II) If ${b_n}=(2n-1){a_n}$, 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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