
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: $1 \times 3 = 3$ and $3 = 2^2 - 1$, $3 \times 5 = 15$ and $15 = 4^2 - 1$, $5 \times 7 = 35$ and $35 = 6^2 - 1$, ..., $11 \times 13 = 143$ and $143 = 12^2 - 1$. Express the pattern you guess in a formula containing only one variable $n$.

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