
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 ($S_{n}$) of an arithmetic sequence $\{a_{n}\}$ satisfies $S_{3}=0$ and $S_{5}=-5$,

(1) Find the general term ($a_{n}$) of the sequence;

(2) Let $b_{n}=\frac{1}{a_{2n-1}\cdot a_{2n+1}}(n\in\mathbb{N}^{*})$, 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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