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Arithmetic and Geometric Sequences (Context).A bouncy ball is dropped such that the height of its first bounce is 6.75 feet and each successive bounce is 68% of the previous bounce's height. What would be the height of the 6th bounce of the ball?

Respuesta :

We have:

Let b = bounce height = 6.75 feet

p = percent of bounce height = 68%

And the formula of the height of nth bounce is:

[tex]h=b\cdot p^{n-1}[/tex]

Then for the 6th bounce:

[tex]h=6.75\times0.68^{6-1}=6.75\times0.68^5=0.981[/tex]

Round to nearest tenth = 1.0

Answer: 1.0 feet

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