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

Emelia Sandoval

Mathematics

3 October, 05:53

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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Byron Mays · Answer 1

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

Jacob Hayden · 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, ...