
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
Suppose the sequence $\{a\_n\}$ satisfies: $a\_1=0$, and $a\_n=a_{n-1}+2n-1 (n\in\mathbb{N}^*,n\geqslant 2)$, and the sequence $\{b\_n\}$ satisfies $b\_n= \sqrt {a\_n+1} \cdot \sqrt {a_{n+1}+1} \cdot( \frac {8}{11})^{n-1}$, then the maximum term of the sequence $\{b\_n\}$ is the \_\_\_\_\_\_ th item.

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