Start by finding the number of eliminated teams after each round.
Geometric, see solution.
Practice makes perfect
To find the number of teams that have been eliminated after each round, we will use the table that we created in the previous exercise. Recall that in this table, x is the number of rounds and y is the number of teams remaining.
These differences show us the number of teams eliminated. Let's check if there is a common difference between each pair of consecutive terms.
There is a common ratio of 12 and the first term is 64, so it is a geometric sequence. Therefore, the nth term of the geometric sequence is given by the equation below.
a_n= a_1 r^(n-1) ⇔ a_n= 64( 1/2)^(n-1)
