
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 $\left\{ a_n \right\}$ has a sum of the first $n$ terms denoted as $S_n$. It is known that $a_1=\frac{1}{5}$, and for any positive integers $m,n$, it holds that $a_{m+n}=a_m a_n$. If for any $n\in \mathbb{N}^*$, $S_n < t$ always holds, then the range of values for the real number $t$ is __________.

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