In $(1+ax)^n$, the coefficients of $x$ and $x^2$ are $12$ and $60$, respectively. Find \(n

Question

In $(1+ax)^n$, the coefficients of $x$ and $x^2$ are $12$ and $60$, respectively. Find $n$ and $a$.

Accepted Answer

$n=6,\ a=2$.

Binomial Theorem