
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 $\{a_n\}$ satisfies $a_1+a_2=10$, $a_4-a_3=2$.  
(I) Find the general formula for $\{a_n\}$.  
(II) Suppose a geometric sequence $\{b_n\}$ satisfies $b_2=a_3$, $b_3=a_7$, what is the position of the term in $\{a_n\}$ that equals $b_6$?

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