Using a geometric sequence, it is found that 7 rounds must be scheduled in order to complete the tournament.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which is the first term.
In this problem, the first round has 128 players, and each round, the players who lose a game go home, hence the common ratio is of q = 0.5.
Then, the geometric sequence for the number of players after n rounds is given by:
In the final round, there is one player, hence:
n = 7
7 rounds must be scheduled in order to complete the tournament.
More can be learned about geometric sequences at brainly.com/question/11847927
#SPJ1