
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: $a_1=1$, and for any $n \in \mathbb{N}^*$, we have: $a_{n+1}=a_n+n+1$. Calculate the value of $\dfrac{1}{a_1}+ \dfrac{1}{a_2}+ \dfrac{1}{a_3}+\ldots+ \dfrac{1}{a_{2016}}$.

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