Question

An athlete is able to jump FOREVER. However, every time that she jumps she gets a bit more tired, and every jump goes half as far as her prior jump. On her very first jump, she travels 1/2 of a metre. On her second jump, she travels a 1/4 of a metre, and on her third jump she goes 1/8 of a metre and so on and so forth. How many jumps will it take her to travel a total of 1 metre?

Answer 1

Answer:

Final Answer : 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 .

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 towards 1 but never reaches one.

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