
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 a sequence $\{a_n\}$ that satisfies $a_1=2$, $a_{n+1}=\frac{2(n+2)}{n+1}a_n$ for $n\in \mathbb{N^*}$, find the value of $\frac{a_{2017}}{a_{1}+a_{2}+\cdots+a_{2016}}$.

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