
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
Observing the following equations,

\\((1+1)=2×1\\)

\\((2+1)(2+2)=2^{2}×1×3\\)

\\((3+1)(3+2)(3+3)=2^{3}×1×3×5\\)

…

What would be the nth equation in this pattern?

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