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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.

Write the first five terms of the sequence that represent the number of games in each-example-1
Write the first five terms of the sequence that represent the number of games in each-example-1
Write the first five terms of the sequence that represent the number of games in each-example-2
User ErmIg
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1 Answer

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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:


t_(n) = a
r^(n-1)

a = 256

r =1/2

substituting into the formula

when n = 1


t_(1) = 256(
(1/2)^(1-1))


t_(1) = 256

when n = 2 ,this is the second round , we have


t_(2) = 256 x
(1)/(2) ^(2-1)


t_(2) = 128

When n = 3 , we have


t_(3) = 256 x 1/4


t_(3) = 64

when n = 4


t_(4) = 256 x 1/8


t_(4) = 32

when n = 5


t_(5) = 256 x 1/16


t_(5) = 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

User Shubham Choudhary
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