
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, what pattern do you notice: $1 \times 3 + 1 = 2^2$; $2 \times 4 + 1 = 3^2$; $3 \times 5 + 1 = 4^2$; $4 \times 6 + 1 = 5^2$; ... Please express the pattern you find using an equation that only contains the letter $n$ (where $n$ is a positive integer).

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