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An ant travels one metar in 1 minute and every next minute she travels half what she traveled in last minute.?

in how many minutes she will be able to travel 3 metars?

Public Comments

1. Assuming the trend continues...

the Ant will NEVER never make it to 3 meters.

2. 1m=60 sec
2m=60+30
3m=60+30+15
3m=105sec
3m=1.45m Or 1min and 45 second

3. At infinity minutes, the ant will have traveled 2 meters. It will never reach 3.

4. about an hour if it doesn't get squished first

5. after one minute: 1meter
after two minutes: 1.5 meters
after 3 minutes: 2.25 meters
after 4 minutes 3.375 meters

3 meters is 2/3 of the way from 2.25 to 3.375. Therefore, it will take 3-2/3 minutes or 3 min 40 second to go 3 meters, assuming the speed is constant for each minute.

6. This is one of Xeno's 8 Paradoxes again

The infinite series 1 + 1/2 + 1/4 + 1/8 approaches but never quite reaches 2, so the ant dies at some point before it actually reaches 2 metres as it doesn't live an infinite number of minutes.