Mathematics 9709 · AS & A Level · Series

Series — practice question

A progression has first term $4x$ and second term $x^2$.
(a)[4]

If the progression is arithmetic and has common difference $12$, determine the possible values of $x$ together with the matching third-term values.

(b)[4]

If the progression is geometric and has sum to infinity $8$, determine the third term.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Solve $x^2-4x=12$ for $x$.

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