Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.
In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.
The general equation of a geometric series is given by:
In which is the first term.
In this problem:
- 64 teams were invited, thus
.
- After each round, half the teams are eliminated, thus
.
The <u>number of teams after 3 rounds</u> is the 4th term of sequence, as the first is the initial number(0 rounds), thus:
After 3 rounds, 8 teams are left.
A similar problem is given at brainly.com/question/25317689