In the expansion of $\left( 3x-\frac{1}{x} \right){{\left( 1+2x \right)}^{n}}$, the sum of the ter

Question

In the expansion of $\left( 3x-\frac{1}{x} \right){{\left( 1+2x \right)}^{n}}$, the sum of the term independent of $x$ and coefficient of $x$ is $-159$. Find the value of $n$ where $n$ is a positive integer.

Accepted Answer

$n = 9$

Binomial Theorem - Coefficients in Products of Binomial Expansions

Binomial Theorem - Coefficients in Products of Binomial Expansions

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