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After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?

 Jul 5, 2016
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The height after the nth bounce is given by :

 

125 (2/5) n - 1     so.....sfter the 4th bounce, we have

 

125 (2/5) 4 -1   =

 

125 (2/5) 3   =

 

125 (8 / 125)  =

 

8 inches

 

 

cool cool cool

 Jul 5, 2016

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