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When a Cray-Ze-Ball is dropped, it bounces to half the height it was dropped from. If a Cray-Ze-Ball is dropped from a height of $6$ feet, how far has it traveled when it touches the ground the $5$th time?

 Jun 7, 2019
 #1
avatar+429 
0

So we can solve this by just keep dividing by 2 so we start with 6 and then divide by 2  5 times down... 

 

 

\(\frac{6}{2} = 3\) 

 

\(\frac{3}{2} = 1.5\) 

 

\(\frac{1.5}{2} = 0.75\) 

 

\(\frac{0.75}{2} = 0.375\) 

 

\(\frac{0.375}{2} = 0.1875\)

 

 

and thats our answer 0.1875 

 Jun 7, 2019
 #2
avatar+1015 
0

Smart

~Nickolas

  1. cheeky
Nickolas  Jun 7, 2019
 #3
avatar+106533 
+2

We have

 

6 [ 1 - 5^(5-1) ] / [ 1 - .5]  + 6  =  17.25 ft

 

 

cool cool cool

 Jun 7, 2019
 #4
avatar+429 
0

Oh boy I misinterpeted it again sorry guys : /

HiylinLink  Jun 8, 2019
 #5
avatar+106533 
0

No big deal, HL.....we all make mistakes on here

 

cool cool cool

CPhill  Jun 8, 2019
 #6
avatar
+1

Hey this is from a AOPS thingy. I go there so I know

 Jun 8, 2019

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