An Athlete jumping  Math Riddle
76.Math Riddles
An Athlete is jumping. However, every time 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 many jumps does it take for her to travel 1 foot?
She will never get to the 1foot mark because you keep adding smaller and smaller amounts! She will never get to the 1foot mark because you keep adding smaller and smaller amounts!

She will never get to the 1foot mark because you keep adding smaller and smaller amounts!
Explanation : We will find the maximum value of this process, when this is carried out infinite times. This process goes like a Infinite GP, whose First term,a = 1/2ft. Common Ratio, r = 1/2ft. Maximum value of this process is One Foot when the athlete jumps forever or Practically, she will never complete her 1 foot. Hence, Athlete will never complete. her complete . Here, As shown in Number line, since we are taking half distance of the previous one. Starting from 1/2 ft. ,and ending at 1 foot. The value always tends towardd 1 but never reaches one.