SOLUTION: A ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. Find the total distance travelled by the ball until it stops bouncing.

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Question 356379: A ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. Find the total distance travelled by the ball until it stops bouncing.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
H=2+2(0.8)(up)+2(0.8)down+2(0.8)(0.8)(up)+2(0.8)(0.8)(down)+...
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H=2%2B4%2A%28sum%28%280.8%29%5En%2Cn=1%2Cinfinity%29%29
H=2%2B4%2A%280.8%2F%281-0.8%29%29
H=2%2B4%2A%280.8%2F%280.2%29%29
H=2%2B4%2A4
highlight%28H=18%29meters