
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 a sequence $\{a_n\}$ whose sum of the first $n$ terms is $S_n$, and $S_n=n^2+n$ ($n\in\mathbb{N}^*$),  
(1) Find the general formula for the term $a_n$ of the sequence $\{a_n\}$.  
(2) If the sequence $\{b_n\}$ satisfies $b_n= \frac {1}{a_na_{n+1}}$ ($n\in\mathbb{N}^*$), and $T_n$ is the sum of the first $n$ terms of the sequence $\{b_n\}$, find $T_9$.

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