Given that the first two non-zero terms of the expansion of \(\left( 1-px \right){{\left( 1-\frac{x}

Question

Given that the first two non-zero terms of the expansion of $\left( 1-px \right){{\left( 1-\frac{x}{3} \right)}^{n}}$are $1$ and $-\frac{7}{3}{{x}^{2}},$where $n$ is a positive integer, find the value of $p$ and of $n.$

Accepted Answer

$p=-2,\ n=6$

Binomial Theorem - Coefficients in Products of Binomial Expansions

Binomial Theorem - Coefficients in Products of Binomial Expansions

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