The Athletic
An athlete is able to jump FOREVER. However, every time that she jumps, she gets a bit more tired, and every jump goes ½ as far as of her prior jump. Now, for her very first jump, she goes ½ of a foot. On her second jump, she goes ¼ a 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?
She will never make it.
She is never going to reach one foot. She gets very close, but she will never reach one foot.
It isn’t possible because every jump the girl makes she is still 1 piece of the fraction away. I drew a photo and realized that at the 5 jump she is at 31/32 of a foot so she is close but not there. This same situation goes on and on as she jumps. Poor girl will never make it.
The athlete will never get to a foot because she will always be jumping a 1/2 of a foot and then a 1/4 of a foot and a 1/2 of a foot and a 1/4 of a foot won’t come together to make a foot.
She’ll never be able to hit a foot because each time she jumps, her jumps are becoming shorter and shorter, so they’ll never add up to a foot.
She’ll make it. The only problem is that it will take her forever. She will make it there at the end of time.
Can you specify forever?
Can you justify your assumption?
She will never make it
she will be one “piece” away
what do you mean by one “piece “? can you measure it ?
The Athlete will never reach one foot because her jumps will become obsolete at one point.
The Athlete will never reach one foot.
This is impossible. Every time you get smaller and smaller. So, you will constantly get add decimals forever.