Posted by **Preston** on Wednesday, January 24, 2007 at 7:21pm.

Sandy dropped a basketball from the top of her Mom'soffice building which is 72 meters tall. She discovered that the first bounce bounced 36m on the second bouce the ball bounced 18 meters. if this pattern continues, how high will the ball bounce on the sixth bounce?

72/(2^6)=??

im only in 7th grad i dont understand that

Looking at the problem tells you that 72 bounces back to 36 (1/2 of the original 72), the next bounce is 18 (again 1/2), the next bound will be 9, the next etc. Make a table like this.

# height

0 72 meters

1 36 meters

2 18 meters

3 9 meters

4 4.5 meters

5 2.25 meters

6 1.125 meters.

But we can save a little time by simply raising 2

^{n} where n is the number of bounces. So 2

^{n} = 2

^{6} = 2*2*2*2*2*2 = 64

then 72/64 = 1.125

I hope this helps.

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