
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 \(\{a_n\}\) whose sum of the first \(n\) terms is denoted by \(S_n\), and 
\[ S_n = 4a_n - 3 \text{ for } n=1, 2, \cdots, \]
find the general term formula for the sequence \(\{a_n\}\).

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