math

Suppose that a ball originally fell from a height of 2.0m and on each bounce the ball rises to 70% of the height from which it fell. Express the height reached, h , as a function of the number of bounces, n.

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  1. after bounce 1: height = .7(2)
    after bounce 2: height = .7 (.7)(2) = 2 (.7)^2
    after bounce 3: height = 2 (.7)^3
    ...
    after bounce n: height = .....

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  2. How to formalize it into a equation using h as height, n as bounces

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  3. geeessh, what did I use for "height", what did I use for the number of bounces?

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  4. h=2(0.70)^n

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  5. correct

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