Question

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?Immersive Reader

Answer 1

She will never complete 1 foot

Steps:

1) 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 .

Starting from 1/2 ft. ,and ending at 1 foot.

The value always tends toward 1 but never reaches one.