
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 sequence $\{a_n\}$ is $S_n$, and it satisfies $a_1=3$, $2S_n+3=a_{n+1}$.
1. Find the general term formula of the sequence $\{a_n\}$.
2. If the sum of the first $n$ terms of the arithmetic sequence $\{b_n\}$ is $T_n$, and $T_1=a_1$, $T_3=a_3$, find the sum of the first $n$ terms of the sequence $\{ \frac {1}{b_{n}b_{n+1}}\}$, denoted as $Q_n$.

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