Mathematics 9709 · AS & A Level · Series

Series — practice question

When $(kx + \frac{1}{x})^5 + (1 - \frac{2}{x})^8$ is expanded, the coefficient attached to $\frac{1}{x}$ is 74.
(main)[5]

Determine the positive value of the constant $k$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Binomial expansion of $(kx+\frac{1}{x})^5$ and $(1-\frac{2}{x})^8$

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