
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
Define the operational symbol "\\(\\Pi \\)", which represents the multiplication of several numbers. For example, \\(1×2×3×…×n\\) can be written as \\(\\underset{n}{\\overset{i=1}{\\Pi}}\\,i(n\\in{{N}^{\\*}})\\). Let \\({{T}\_{n}}=\\underset{n}{\\overset{i=1}{\\Pi}}\\,{{a}\_{i}}\\), where \\({{a}\_{i}}\\) is the \\(i^{th}\\) term of the sequence \\(\\left\\{ {{a}\_{n}} \\right\\}(n\\in {{N}^{\\*}})\\). If \\({{T}\_{n}}=2{{n}^{2}}(n\\in {{N}^{\\*}})\\), find the expression for \\({{a}\_{n}}\\) when \\(n\\geqslant 2\\).

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