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Determine the common difference of the arithmetic progression and the common ratio of the geometric progression.
Mathematics 9709 · AS & A Level · Series
Series — practice question
The $1$st, $3$rd and $13$th terms in an arithmetic progression are also, in that same order, the $1$st, $2$nd and $3$rd terms of a geometric progression. In both progressions, the first term is $3$.
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This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “A correct relation between $r$ and $d$, for instance $r=\frac{3+2d}{3}$” …
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