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An athlete is able to jump FOREVER. However, everytime that she jumps she gets a bit more tired, and every jump goes 1/2 as far as her prior jump. Now, for her very first jump, she goes 1/2 of a foot.

On her second jump, she goes 1/4 of a foot, and so on and so forth. How long will it take to get a foot forward?

 

First to answer correctly gets 5 stars

 Apr 25, 2016
 #1
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In a finite amount of time.......she can never jump one foot forward.......she will always come up just a bit short.....however...if we bend the rules.......the distance she will jump in an infinite amount of time is given by the following infinite sum where a is the distance of the first jump [in feet]  and r is the common ratio beween each jump  = 1/2

 

distance = a / (1 - r)  =   (1/2) / (1 - 1/2)  =  (1/2) / (1/2)  = 1 ft  exactly !!!!

 

 

 

cool cool cool

 Apr 25, 2016

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