
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
$2^1 \times 1 = 2$, $2^2 \times 1 \times 3 = 3 \times 4$, $2^3 \times 1 \times 3 \times 5 = 4 \times 5 \times 6$, $2^4 \times 1 \times 3 \times 5 \times 7 = 5 \times 6 \times 7 \times 8$, and so on. What is the $n$-th equation?

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