
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 that the sequence $\{a_n\}$ is an arithmetic sequence with a common difference of 2, and the sequence $\{b_n\}$ satisfies $b_1=6$, $b_1 + \frac{b_2}{2} + \frac{b_3}{3} + … + \frac{b_n}{n} = a_{n+1}$.
1. Find the general term formulas for $\{a_n\}$ and $\{b_n\}$.
2. Find the sum of the first $n$ terms of the sequence $\{\frac{1}{a_n b_n}\}$.

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