
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 the arithmetic sequence {a<sub>n</sub>} satisfies a<sub>3</sub> − a<sub>2</sub> = 3, a<sub>2</sub> + a<sub>4</sub> = 14.
(I) Find the general term formula for {a<sub>n</sub>};
(II) Let S<sub>n</sub> be the sum of the first n terms of the geometric sequence {b<sub>n</sub>}. If b<sub>2</sub> = a<sub>2</sub>, b<sub>4</sub> = a<sub>6</sub>, find S<sub>7</sub>.

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