Given that the coefficient of $\frac{1}{x^2}$ in the binomial expansion of \(\left(x^2 + \frac{m}{

Question

Given that the coefficient of $\frac{1}{x^2}$ in the binomial expansion of $\left(x^2 + \frac{m}{x^4}\right)^5$ is $360$, find the possible values of $m$.[4] Given that the first three terms in the expansion of $(1 - 3x)^n$ in ascending powers of $x$ are $1 - 15x + kx^2$, find the value of $n$ and of $k$.[3]

Accepted Answer

(a) $m=\pm6$ (b) $n=5$, $k=90$

2023 ACSBR AM S3 EOY Q9

2023 ACSBR AM S3 EOY Q9

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