Question

(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?

Answer 1

SefeefewfwgrfwRfrs

Explanation:

Answer 2

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

Explanation:

Consider the provided information.

It is given that on her first jump she goes
`(1)/(2)` foot and every jump goes
`(1)/(2)` as far as her prior jump.

That means this is a GP where
`a=(1)/(2)` and
`r=(1)/(2)`

We want the sum should be 1.

Now use the formula for sum of GP.

`s=(a)/(1 - r)\\ s=( (1)/(2))/(1-(1)/(2) )\\ s=( (1)/(2))/((1)/(2))=1`

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.