
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
Choose any four consecutive natural numbers, multiply them together, and then add $1$. The result can be represented as the square of a natural number. For example: $1\times 2\times 3\times 4+1=25=5^{2}$; $2\times 3\times 4\times 5+1=121=11^{2}$. Let these four consecutive natural numbers be $n$, $n+1$, $n+2$, $n+3$. Then $n\left(n+1\right)\left(n+2\right)\left(n+3\right)+1=\left(\triangle \right)^{2}$, where "$\triangle $" can be expressed as an expression containing $n$ as ______.

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