Total number of team in starting = 128 teams.
In each round half of the teams are eliminated.
Therefore, number of teams remain after first round = 128/2 = 64.
The number of teams remain after second round = 64/2 = 32.
The number of teams remain after third round = 32/2 = 16.
The number of teams remain after fourth round = 16/2 = 8.
The number of teams remain after fifth round = 8/2 = 4.
Answer: After five rounds, only 4 teams remain.
Step-by-step explanation:
at the begginning we have 128 teams, after the first round, we have half of that, this is 128/2.
after the second round, we have half of that: (128/2)/2 = 128/(2*2)
and so on, so if n is the number of rounds, the amount of theams left can be written as:
t(n) = 128/(2^n)
and for n= 5, we have:
t(5) = 128/(2^5) = 128/32 = 4
After five rounds, only 4 teams remain.
