Mathematics 9709 · AS & A Level · Series

Series — practice question

An arithmetic progression has first term $12$, and the total of its first $9$ terms is $135$.
(i)[2]

Find the common difference in the progression.

(ii)[5]

In this arithmetic progression, the first term, the ninth term and the $n$th term act as the first, second and third terms respectively of a geometric progression. Find the common ratio of the geometric progression and the value of $n$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the arithmetic progression sum formula $S_n$

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