Question
There is a state soccer tournament with 128 teams competing for 1st place. Each week, half of the teams get eliminated. How many teams remain after 6 weeks?
A. 16
B. 8
C. 4
D. 2
A. 16
B. 8
C. 4
D. 2
Answers
Reiny
teams left after 1 week = 64 = 128(1/2)
teams left after 2 weeks = 32 = 128(1/2)^2
..
teams left after 6 weeks = 128(1/2)6 = 2
teams left after 2 weeks = 32 = 128(1/2)^2
..
teams left after 6 weeks = 128(1/2)6 = 2