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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (11) · Pure Mathematics 1 - Question 5

Cambridge AS & A Level · Paper 1 (11) · Pure Mathematics 1

Question 5

The third term of a geometric progression is 18 and the sum of the first three terms is 26. It is given that the common ratio is negative.

**(b)** Find the exact value of the sum to infinity of the progression.

(In part (a) you found $a = 32$ and $r = -\frac{3}{4}$.)
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