
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
Let $\left(1+2x\right)^{n}=a_{0}+a_{1}x+a_{2}x^{2}+\ldots +a_{n}x^{n}$, if $a_{3}=2a_{2}$, calculate the value of $n$.

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