
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
In an arithmetic sequence $\{a_n\}$ with a nonzero common difference $d$, suppose $a_1 = 2$, and $a_3$ is the geometric mean of $a_1$ and $a_9$.
(1) Find the general formula of the sequence $\{a_n\}$;
(2) Calculate the sum of the first $n$ terms of the sequence $\left\{ \frac {1}{a_{n}a_{n+1}} \right\}$, denoted as $T_n$.

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