
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 sequence $\{a\_n\}$, where $a\_1=1$, $a\_n=a_{n-1}+3 (n\geqslant 2,n\in\mathbb{N}^{*})$, and the sequence $\{b\_n\}$ satisfies $b\_n= \frac {1}{a\_n a_{n+1}}, (n\in\mathbb{N}^{*})$, determine the limit $\lim\limits_{n\to∞}(b\_1+b\_2+…+b\_n)$ \_\_\_\_\_\_ .

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