I have a question that I can solve quite nicely with the binomial theorem; however, I am required to use pascals triangle for a lower level course:
In the expansion of $(1+x)^n$ the first three terms are $1$, $-18$, and $144$. Determine the values of $x$ and $n$.
Answer: $x=-2$, $n=9$
But I don't know how to solve this using pascals triangle!
Thanks