A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geometric sequence that shows the height of the fourth bounce in bold (to the nearest tenth). A) 8.1, 7.3, 6.6, 5.9, ... B) 9, 8.1, 7.3, 6.6, ... C) 9, 8, 7, 6, ... D) 9, 8.1, 7.3, 5.6, ...

Question

Mathematics

Rowan Tyler

Yesterday, 17:47

A ball is dropped from a height of 10 feet. The ball bounces to 90% of its previous height with each bounce. Identify the geometric sequence that shows the height of the fourth bounce in bold (to the nearest tenth). A) 8.1, 7.3, 6.6, 5.9, ... B) 9, 8.1, 7.3, 6.6, ... C) 9, 8, 7, 6, ... D) 9, 8.1, 7.3, 5.6, ...

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Answers (2)

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Devyn Fernandez · Answer 1

The geometric sequence that shows the height of the fourth bounce in bold is B) 9, 8.1, 7.3, 6.6, ...

Makhi Patterson · Answer 2

Original height=10 feet

Height after first bounce: (10 feet) * 90% = (10 feet) * 90/100=9 feet

Height after second bounce: (9 feet) * 90% = (9 feet) * 90/100=8.1 feet

Height after third bounce: (8.1 feet) * 90% = (8.1 feet) * 90/100=7.29 feet = 7.3 feet

Height after fourth bounce: (7.29 feet) * 90% = (7.29 feet) * 90/100=6.561 feet=6.6 feet

Answer: Option B) 9, 8.1, 7.3, 6.6, ...