
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
For the positive sequence $\{a_n\}$, it satisfies $a_n^2 + (1 - n)a_n - n = 0$. If $b_n = \frac{1}{(n + 1)a_n}$, and the sum of the first $n$ terms of the sequence $\{b_n\}$ is $T_n$, find the value of $T_{2016}$.

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