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In the expansion of $(2 + ax)^7$, the coefficients of $x$ and $x^2$ are equal. Determine the value of the non-zero constant $a$.
Mathematics 9709 · AS & A Level · Series
In the expansion of $(2 + ax)^7$, the coefficients of $x$ and $x^2$ are equal. Determine the value of the non-zero constant $a$.
This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Combinations used with cancellation: ${}^7C_1 \times 2^6 \times a = {}^7C_2 \times 2^5 \times a^2$” …