Posted by Jasen on Friday, November 29, 2013 at 10:46pm.
A rubber ball is dropped from a height of 729 feet, and at each bounce it rebounds onethird of the height from which it last fell. How far has the ball travelled by the time it strikes the ground for the 5th time?

math  shree, Friday, November 29, 2013 at 10:49pm
first time: 729/3=243
second time: 243/3
third time:81/3
fourth time: 27/3
fifth time: 9/3=3ft

math  Reiny, Friday, November 29, 2013 at 10:56pm
distance for 1st bounce = 729
distance for 2nd bounce = 2(1/3)(729) = 2(243)
distance for 3rd bounce = 2(1/3)(243) = 2(81)
distance for 4th bounce = 2(1/3)(81) = 2(27)
distance for 5th bounce = 2(1/3)(27) = 2(9)
total distance
= 729 + 2(243+81+27+9) = 1449
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