Mathematics 9709 · AS & A Level · Series

Series — practice question

The first term of the geometric progression and the first term of the arithmetic progression are each $a$. The third term of the geometric progression matches the second term of the arithmetic progression. The fifth term of the geometric progression matches the sixth term of the arithmetic progression.
(main)[6]

Since all the terms are positive and they are not all the same, determine the sum of the first twenty terms of the arithmetic progression in terms of $a$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Take $ar^{2}=a+d$

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