Mathematics 9709 · AS & A Level · Series

Series — practice question

For an arithmetic progression with first term $a$ and common difference $d$, it is stated that the sum of the first $200$ terms is $4$ times the sum of the first $100$ terms.
(i)[3]

Find $d$ in terms of $a$.

(ii)[2]

Find the $100$th term in terms of $a$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct application of the formula in the ratio equation

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