
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 $f_1(x)=(x^2+2x+1)e^{x}$, $f_2(x)=[f_1(x)]′$, $f_3(x)=[f_2(x)]′$, …, $f_{n+1}(x)=[f_n(x)]′$, $n∈N^*$, find the value of $b_{2015}$.

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