Mathematics 9709 · AS & A Level · Series

Series — practice question

For the expansion of $\left(\frac{x}{a} + \frac{a}{x^2}\right)^7$, you are told that the coefficient of $x^4$ divided by the coefficient of $x$ is $3$.
(main)[6]

Find the values that the constant $a$ can take.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Identify the correct pair of terms from the expansion of $(x+\frac{a}{x^2})^7$.

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