
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 the sequence $\{b\_n\}$ with its first $n$ terms sum $S\_n$, and $b\_1=1$, $b\_{n+1}= \frac {1}{3}S\_n$.
(1) Find the values of $b\_2$, $b\_3$, $b\_4$;
(2) Find the general term formula for $\{b\_n\}$.

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