The binomial expansion of ${{\left( 1+kx \right)}^{n}}$, where $n$ is a positive integer, i

Question

The binomial expansion of ${{\left( 1+kx \right)}^{n}}$, where $n$ is a positive integer, in the ascending powers of $x$, is $1+45x+900{{x}^{2}}+...$. Find the value of $n$ and $k$.

Accepted Answer

$n = 9, k = 5$

Binomial Theorem - Finding Parameters in Binomial Expansions

Binomial Theorem - Finding Parameters in Binomial Expansions

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