can u answer this question?

Question

marsha started a 1024- meter race, ran half the distnce to the finish line, and then handed the baton to greg. greg ran half the remaining distance and handed off to alice, who ran half the remaining distance. how far from the finish line did alice stop? if the team continues this pattern how many more runners will they need in order to cross the finish line?

pleas show ur work

Answer 1

half the distnce to the finish line (1024 - 1024/2 ) = 512
greg ran half the remaining distance and handed off to alice (512 - 512/2) = 256
ran half the remaining distance(256 - 256/2) = 128

Answer 2

The distances ran by any runner are the terms of a geometric series with r=1/2
M runs 512 m
G runs 256 m
A runs 128 m and stops 128 m from the finish line.
Mathematically they would need an infinite number of runners to cross the finish line

Answer 3

Marsha ran half of 1024 meters - or 512 meters
Greg ran half of 512 meters - or 256 meters
Alice ran half of 256 meters, or 128 meters


And actually no matter how many teammates they have, they will never cross teh finish line, as the distance is always merely cut in half.

Answer 4

Yes, I can.

1024 - 1024/2 = 512
512 - 512/2 = 256
256 - 256/2 = 128

Alice stopped 128 meters from the finish line.

Technically, no finite amount of runners could ever cross the finish line in this fashion, because the limit as the number of runners increases without bound IS the finish line.

See Zeno's Dichotomy. http://en.wikipedia.org/wiki/Zeno%27s_paradoxes#The_dichotomy_paradox

Answer 5

Yes.

128 meters.

9 more relay runners for one of them to reach and cross the finish line.

Draw the picture.

Answer 6

128m from the finish line, as far as how many runners it would take at this pattern, well, that's Zeno's paradox. Theoretically you'll need an infinite amount of runners but it will become practically impossible to switch. That lazy *** alice should have just completed the godamn 128m, you lazy skank

Answer 7

see above