the nba invited 128 teams to compete in a tournament. after each round, half of the team were eliminated which equation represents the number of teams, that remained in the tournament after, r, rounds

Tr = 128 (1/2) ^r

Step-by-step explanation:

After round 1, half of 128 is eliminated = 128/2 = 64

After round 2, half of 64 is eliminated = 64/32 = 32

After round 3, half of 32 is eliminated = 32/2 = 16

After round four, half of 16 is eliminated which is 16/2 = 8

Now, the pattern we have is;

128, 64, 32, 16, 8

The succeeding term keeps decreasing by 2 compared to the preceding term

We can see that this is a geometric pattern with a = 128 and r = 1/2

The nth term is thus

Tn = 128 * (1/2) ^n

Thus, the number of teams remaining after r round would be

Tr = 128 * (1/2) ^r