
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
Let the sequence $\{a_n\}$ be a geometric sequence with all positive terms, and $a_1=3$, $a_2 + a_3 = 36$.
(1) Determine the general formula for the sequence $\{a_n\}$;
(2) If for any positive integer $n$, the sequence $\{b_n\}$ satisfies $\frac{b_1}{a_1} + \frac{b_2}{a_2} + \frac{b_3}{a_3} + \ldots + \frac{b_n}{a_n} = 2n + 1$, find the value of $b_1 + b_2 + b_3 + \ldots + b_{2015}$.

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