
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 terms of the geometric sequence $\\{a_{n}\\}$ are all positive, $a_{1}=1$, and the common ratio is $q$; the arithmetic sequence $\\{b_{n}\\}$ has $b_{1}=3$, and the sum of its first $n$ terms is $S_{n}$. It is known that $a_{3}+S_{3}=27$ and $q= \frac {S_{2}}{a_{2}}$.

(I) Find the general terms for the sequences $\\{a_{n}\\}$ and $\\{b_{n}\\}$;
(II) Let sequence $\\{c_{n}\\}$ satisfy $c_{n}= \frac {9}{2S_{n}}$, find the sum of its first $n$ terms, $T_{n}$.

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