
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
The sequence $\{a\_n\}$ consists of positive numbers and satisfies $a\_1=1$, $\sqrt { \frac {1}{ a\_{ n }^{ 2 }}+3}= \sqrt { \frac {1}{ a\_{ n+1 }^{ 2 }}}$. Let $b\_n= \frac {1}{ a\_n^{ 2 } a\_{ n+1 }^{ 2 }}$, and the sum of the first $n$ terms of the sequence $\{b\_n\}$ is denoted as $S\_n$. If $S\_n < t$ holds true for any $n∈N^{*}$, then the range of the real number $t$ is \_\_\_\_\_\_.

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