
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
Observe 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,  
...  
According to this pattern, the nth equation can be expressed as.

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