To find:The number of teams which remain after the third, fourth and fifth rounds.
Answer to Problem 33E
After third round 16 teams remain, after fourth round 8 teams remain, after fifth round 4 teams remain.
Explanation of Solution
Given information:A badminton tournament begins with 128 teams. After the first round, 64 teams remain. After the second round, 32 teams remain.
Calculation:Numberof teams at the beginning
Number of teams after 1st round
Number of teams after 2nd round
It is observed the number of team form a sequence in which each term is obtained by multiplying a constant
Thus,
Then, number of teams after 3rd round
Number of teams after 4th round
Number of teams after 5th round
Thus, after third round 16 teams remain, after fourth round 8 teams remain, after fifth round 4 teams remain.
Chapter 6 Solutions
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