
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
A geometric sequence $\{a_n\}$ satisfies the following conditions: $(1) a_1 > 0$; $(2)$ the sum of the first $n$ terms of the sequence, $S_n < 1$. Write down the general term formula for a sequence that satisfies all the above conditions ______.

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