A student claims that the coefficients of $x$ and $x^2$ in $(1+ax)^n$ are $18$ and $180$,

Question

A student claims that the coefficients of $x$ and $x^2$ in $(1+ax)^n$ are $18$ and $180$, respectively, where $a$ is real. Determine whether this is possible. Justify your conclusion.

Accepted Answer

Impossible for positive integer $n$.

Binomial Theorem

Binomial Theorem

Solution:

Solution locked