
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
Using the digits 1, 2, 3, and 4, which can be repeatedly arranged to form a three-digit number, arrange these three-digit numbers in ascending order to form a sequence $\{a_n\}$.
(1) Write down the 8th term of this sequence;
(2) How many terms are there in this sequence?
(3) If $a_n = 341$, find $n$.

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