Write the first five terms of the sequence that represent the number of games in each round of the tournament. let n = 1 be the first round of the tournament. show the steps that you used to calculate the values in the sequence.

The first 5 times are 256 , 128 , 64 , 32 and 16

Step-by-step 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