The fifth term in the expansion of $\left(px - \frac{q}{x}\right)^n$, where $p$ and $q$ a

Question

The fifth term in the expansion of $\left(px - \frac{q}{x}\right)^n$, where $p$ and $q$ are positive numbers, is independent of $x$. Show that $n = 8$.[2] Hence, explain why the fifth term is a positive constant.[1] It is given that $p = 3$ and $q = 1$. Find the term independent of $x$ in $\left(2 + \frac{1}{x^2}\right)\left(px - \frac{q}{x}\right)^n$ for $n = 8$.

Accepted Answer

(c) $ -2268$

2024 CGSS P2 Q4

2024 CGSS P2 Q4