In the expansion of ${{\left( x+3y \right)}^{n}}$, where $n$ is a positive integer, in the

Question

In the expansion of ${{\left( x+3y \right)}^{n}}$, where $n$ is a positive integer, in the ascending powers of $y$, the coefficient of the third term is $189$. Find the value of $n$.

Accepted Answer

$n = 7$

Binomial Theorem - Finding Parameters in Binomial Expansions

Binomial Theorem - Finding Parameters in Binomial Expansions

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