Mathematics 9709 · AS & A Level · Series

Series — practice question

In an arithmetic progression, the first three terms are $4$, $x$ and $y$ respectively. In a geometric progression, the first three terms are $x$, $y$ and $18$ respectively. You are told that both $x$ and $y$ are positive.
(i)[4]

Determine the values of $x$ and $y$.

(ii)[3]

Determine the fourth term of each progression.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Valid relation from AP, for example $y=2x-4$

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