Answer: The first 5 times are 256 , 128 , 64 , 32 and 16
Explanation:
The situation is a scenario of Geometric sequence. The nth term for a geometric sequence is given as:
= a

a = 256
r =1/2
substituting into the formula
when n = 1
= 256(
)
= 256
when n = 2 ,this is the second round , we have
= 256 x

= 128
When n = 3 , we have
= 256 x 1/4
= 64
when n = 4
= 256 x 1/8
= 32
when n = 5
= 256 x 1/16
= 16
Therefore the first five terms of the sequence that represent the number of games in each round of the tournament are:
256 , 128 , 64 , 32 , 16