Review question

# Given the binomial expansion of $(1+x)^n$, can we find $x$ and $n$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6295

## Suggestion

The binomial expansion of $(1+x)^n$ is

$1-\dfrac{2}{3}\times \dfrac{1}{3} + \dfrac{\frac{1}{2}\times\frac{3}{2}}{1\times 2}\left(\dfrac{1}{3}\right)^2- \dfrac{\frac{1}{2}\times\frac{3}{2}\times\frac{5}{2}}{1\times 2\times 3}\left(\dfrac{1}{3}\right)^3+...$

Determine the values of $x$ and $n$.

Could we write out the expansion of $(1+x)^n$ and compare the terms with what we are given?