
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 a sequence $\{a\_n\}$, the sum of its first $n$ terms is $S\_n$. It is known that $a\_1= \frac {1}{5}$ and for any positive integers $m$ and $n$, $a_{m+n}=a\_m \cdot a\_n$. If $S\_n < t$ always holds true, find the minimum value of the real number $t$.

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