
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 an arithmetic sequence $\{a_n\}$ with the first term $a_1=1$ and common difference $d>0$, the second term, the fifth term, and the fourteenth term are the second term, the third term, and the fourth term of a geometric sequence $\{b_n\}$, respectively.  
(1) Find the general formulas for $\{a_n\}$ and $\{b_n\}$.  
(2) Suppose there is a sequence $\{c_n\}$ such that for any $n \in \mathbb{N}^*$, the equation $\frac{c_1}{b_1} + \frac{c_2}{b_2} + \ldots + \frac{c_n}{b_n} = a_{n+1}$ holds. Find the value of $c_1 + c_2 + c_3 + \ldots + c_{2015}$.

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