
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:<br/>$1\times 3+1=2^{2}$;<br/>$2\times 4+1=3^{2}$;<br/>$3\times 5+1=4^{2}$;<br/>$\ldots$<br/>According to the above pattern, ______$=n^{2}$.

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