(riddle)

an athlete is able to jump forever. however, everytime that she jumps she gets a bit more tired, and every jump goes 12 as far as her prior jump. now, for her very first jump, she goes 12 of a foot.

on her second jump, she goes 14 of a foot, and so on and so forth. the beginning of her journey is shown in the gif below.

how many jumps does it take for her to travel 1 foot?

The athlete will never reach one foot because they only ever jump half of the remaining distance.

Step-by-step explanation:

Consider the provided information.

It is given that on her first jump she goes foot and every jump goes as far as her prior jump.

That means  this is a GP where and

We want the sum should be 1.

Now use the formula for sum of GP.

Hence the maximum value is One Foot.

That means she has to take infinite number of steps to complete a distance of 1 foot.

Therefore, the athlete will never reach one foot because they only ever jump half of the remaining distance.

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dnji

step-by-step explanation:

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