+817
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
+129850 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 !!!!
