
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 expressions: $2^{2}-1=1 \times 3$, $3^{2}-1=2 \times 4$, $4^{2}-1=3 \times 5$, $5^{2}-1=4 \times 6$, $…$, according to the above pattern, the $n$-th equation should be represented as ______________.

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