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Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula an = 0. 85an – 1. What is a1? feet What is the height the ball rebounds to after its third bounce? Round your answer to three decimal places. Feet.

Answer :

The height the ball rebounds to after its third bounce with the initial height by 10 feet is 6.141 feet.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Suppose you drop a ball from a height of 10 feet. After the ball hits the floor, it rebounds to a height defined by the recursive formula

[tex]\rm a_n = 0. 85\ a_{n - 1}[/tex]

a₀ = 10 feet

For n = 1, the height will be

[tex]\rm a_1 = 0. 85\ a_{0}\\\\a_1 = 0.85*10\\\\a_1 = 8.5[/tex]

For n = 2, the height will be

[tex]\rm a_2 = 0. 85\ a_{1}\\\\a_2 = 0.85*8.5\\\\a_2 = 7.225[/tex]

For n = 3, the height will be

[tex]\rm a_3 = 0. 85\ a_{0}\\\\a_3 = 0.85*7.225\\\\a_3 = 6.14125 \approx 6.141[/tex]

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

First one is 10

The next is 6.141

Step-by-step explanation:

edg answer

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