
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 functions $f(x)=\frac{e^{x}-1}{e^{x}+1}$, $g(x)=f(x-1)+1$, and the sequence $a_{n}=g(\frac{1}{n})+g(\frac{2}{n})+g(\frac{3}{n})+…+g(\frac{2n-1}{n})$, where $n \in \mathbb{N}^*$
(1) Find the general term formula for the sequence $\{a_{n}\}$;
(2) Let $b_{n}=\frac{1}{a_{n}a_{_{n+1}}}$, find the sum $S_{n}$ of the first $n$ terms of the sequence $\{b_{n}\}$.

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