The binomial expansion of ${{(1+kx)}^{n}}$, where $n$ is a positive integer, in ascending powers

Question

The binomial expansion of ${{(1+kx)}^{n}}$, where $n$ is a positive integer, in ascending powers of $x$, is $1-36x+594{{x}^{2}}+\ldots $. Find the value of $n$ and of $k$ .

Accepted Answer

$n=12,\ k=-3$

Binomial Theorem - Finding Parameters in Binomial Expansions

Binomial Theorem - Finding Parameters in Binomial Expansions

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