Posted by Aparna on Monday, January 3, 2011 at 1:12am.
Counting all bounces? That would be
100 (1 + 2*0.95 + 2*0.95^2 + 2*0.0.95^3 + ... centimeters. That is an infinite series, and assumes that the down-to-up ratio is always 0.95.
That can be written as
100*(2 + 2*0.95 + 2*0.95^2 + 2*0.0.95^3....) - 100
or, in closed form, as
200[1/(1-0.95)] - 100
= 3900 cm
A question like this was answered recently. I'll try to find a link.
drwls is faster than me!!
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