
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 the general term formula of the sequence $\{a_{n}\}$ as $a_{n}= \frac {1}{2n-1}$, where $n \in \mathbb{N}^{*}$
(1) Find the sum of the first $n$ terms, $S_{n}$, of the sequence $\{ \frac {a_{n}+2}{a_{n}}\}$
(2) Let $b_{n}=a_{n}a_{n+1}$, find the sum of the first $n$ terms, $T_{n}$, of the sequence $\{b_{n}\}$.

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