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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (12) · Pure Mathematics 1 - Question 21

Cambridge AS & A Level · Paper 1 (12) · Pure Mathematics 1

Question 21

**(b)** The fourth and sixth terms of a geometric progression are 36 and 6 respectively. The common ratio of the progression is positive.

Find the sum to infinity of the progression. Give your answer in the form $\dfrac{a}{\sqrt{b} - c}$, where $a$, $b$ and $c$ are integers.
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