Answer:
where
.
The number of players compete in round 7 will be 4.
Step-by-step explanation:
The number of players in a tennis tournament is reduced by half (50%) after every round. In round 1 there are 256 players, in round 2 there are 128 players, and so on.
So, the number of players is multiplied by gives the number of players in the next round.
Therefore, the explicit function of number of players in nth round is given by
where
.
Therefore, the number of players compete in round 7 will be . (Answer)