
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 the function $f(x)=2\sin (ωx+φ)(ω > 0,|φ| < π)$ passes through the points $(\frac{π}{12},-2)$ and $(\frac{7π}{12},2)$, and is monotonic in the interval $(\frac{π}{12}, \frac{7π}{12})$:
(I) Find the values of $ω$ and $φ$;
(II) Let $a_{n}=nf(\frac{nπ}{3})(n∈\mathbb{N}^{*})$, find the sum of the first 30 terms of the sequence $\{a_{n}\}$, denoted as $S_{30}$.

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