
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 that the sum of the first $n$ terms of the arithmetic sequence ${a_{n}}$ is $S_{n}$, with $S_{5}=30$ and $a_{2}+a_{6}=16$.

(I) Find the general term formula for the arithmetic sequence ${a_{n}}$;

(II) Find the sum of the series $\frac{1}{{S}_{1}}+ \frac{1}{{S}_{2}}+...+ \frac{1}{{S}_{n}}$.

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