
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<sub>n</sub> represent the sum of the first n terms of the arithmetic sequence {a<sub>n</sub>}. Given that a<sub>1</sub> = 2 and S<sub>5</sub> = 40:

(I) Find the general term formula for {a<sub>n</sub>};

(II) Suppose the geometric sequence {b<sub>n</sub>} satisfies b<sub>3</sub> = a<sub>3</sub> and b<sub>4</sub> = a<sub>1</sub> + a<sub>5</sub>. Which term of the sequence {a<sub>n</sub>} is equal to b<sub>7</sub>?

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