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Year 12 Maths Advanced Sequences and Series

AP and GP Problems

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Question 1
24659

A golf ball is dropped from a height of 12 m onto a stone pavement. After each bounce, the maximum height reached by the ball is one third of the previous maximum height.

(i)  What height does it reach on its second bounce?

(ii)  How far has it travelled when it strikes the pavement on the fourth occasion?

(i)  \(1\dfrac{1}{3}m\,\) high

(ii)  \(D = 23\dfrac{5}{9} \text{ m}\)

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