
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 an arithmetic sequence $\{a\_n\}$ with a common ratio $q > 1$, and $2(a\_n+a_{n+2})=5a_{n+1}$, $n∈N^{∗} $.
(I) Find the value of $q$;
(II) If $a_{5}^{2}=a_{10}$, find the sum of the first $n$ terms, $S_{n}$, of the sequence $\{ \frac {a_{n}}{3^{n}}\}$.

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