
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
The given sequence of equations is as follows:
$$2^{1}×1=2$$,
$$2^{2}×1×3=3×4$$,
$$2^{3}×1×3×5=4×5×6$$,
$$2^{4}×1×3×5×7=5×6×7×8$$,
... and so on. What is the $n^{th}$ equation in the sequence?

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