
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
Given that $a \neq 0$, and $n$ is a natural number greater than 1, the expansion of $\left(1+ \frac{x}{a}\right)^{n}$ is $a_{0}+a_{1}x+a_{2}x^{2}+…+a_{n}x^{n}$. If $a_{1}=3$, $a_{2}=4$, then $a=$ _____ .

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