
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
The sequence $\{a_n\}$ satisfies: $a_1= \frac {4}{3}$, and $a_{n+1}= \frac {4(n+1)a_n}{3a_n+n}$, $(n\in\mathbb{N}^{+})$. Find the value of $\frac {1}{a_1}+ \frac {2}{a_2}+ \frac {3}{a_3}+\ldots+ \frac {2016}{a_{2016}}$.

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