
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]


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Given the sequence {a$_n$}, where a$_1$=1, a$_{n+1}$=2a$_n$ (n∈N$^+$), and the sequence {b$_n$} is an arithmetic sequence with a common difference of 3, and b$_2$=a$_3$.
(I) Find the general term formula for the sequences {a$_n$} and {b$_n$};
(II) Find the sum of the first n terms, s$_n$, for the sequence {a$_n$-b$_n$}.

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