
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]


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Given an arithmetic sequence $\\{ {a_{n}} \\}$ with the sum of its first $n$ terms denoted as ${S_{n}}$, and ${a_{2}}+{{a_{5}}=25}$, ${S_{5}=55}$.

(1) Find the general term formula for the sequence.
(2) If ${{a_{n}}{b_{n}}= \frac{1}{3n-1}}$, find the sum of the first $n$ terms, denoted as ${{T_{n}}}$, for the sequence $\\{ {b_{n}} \\}$.

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