
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 geometric sequence $\{a_n\}$ consists of positive terms, $a_1=1$, and the common ratio is $q$; in the arithmetic sequence $\{b_n\}$, $b_1=3$, and the sum of the first $n$ terms of $\{b_n\}$ is $S_n$, $a_3+S_3=27$, $q= \frac {S_2}{a_2}$.  
(Ⅰ) Find the general formula for $\{a_n\}$ and $\{b_n\}$.  
(Ⅱ) Let the sequence $\{c_n\}$ satisfy $c_n= \frac {3}{2S_n}$, find the sum of the first $n$ terms of $\{c_n\}$, $T_n$.

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