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A ball is dropped from a height of 30 feet. The ball bounces. After each bounce, the maximum height of the ball is 80% of the previous height. Write an nth term formula to model the situation and approximate the maximum height of the ball after 6 bounces.

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apologiabiology
max height after 6 bounces

[tex]f(n)=30(0.80)^n[/tex]
after 1 bound it is 80% of 30

so f(6) is
[tex]f(6)=30(0.80)^6[/tex]
f(6)=7.864

about 7.9ft

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