Mathematics 9709 · AS & A Level · Series

Series — practice question

A runner preparing for a long-distance race intends to cover a greater distance each day for 21 days. On day 1, she will run $x$ km, and on each later day the distance will increase by $10\%$ of the previous day’s distance. On day 21, she will run $20$ km.
(i)[3]

Find the distance she must run on day 1 to achieve this. Give your answer in km correct to $1$ decimal place.

(ii)[2]

Find the total distance she covers over the $21$ days.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: States the common ratio as $1.1$

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