Mathematics 9709 · AS & A Level · Series

Series — practice question

In a geometric progression, the third term is 18 and the total of the first three terms is 26. The common ratio is stated to be negative.
(a)[5]

Find the tenth term in the progression, and give your answer correct to 3 significant figures.

(b)[2]

Determine the exact sum to infinity of the progression.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Use two suitable equations taken from the GP information, for example $ar^2=18$ and $a+ar+ar^2=26$.

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