Question 48
The flea's path. To cover a straight path 10 meters long, a flea uses the following strategy: each day it covers half of the path that remained the day before. So, on the first day it covers 5 meters, on the second 2.5 meters, and so on (the size of the flea is negligible).
a) How many meters will it have covered at the end of the seventh day? And of the tenth?
b) From which day on will the flea be less than $0.001~\mathrm{m}$ from the end of the path?
a) How many meters will it have covered at the end of the seventh day? And of the tenth?
b) From which day on will the flea be less than $0.001~\mathrm{m}$ from the end of the path?