Solve the problem using inductive reasoning.Find the number of games played in a round robin tournament for the given numbers of teams. In a round robin tournament every team plays every other team once.
Look for a pattern. Find the number of games played in a round robin tournament involving n teams. Find the number of games played in a round robin tournament involving 19 teams.
What will be an ideal response?
6 teams: 5 + 4 + 3 + 2 + 1 = 15 games
7 teams: 6 + 5 + 4 + 3 + 2 + 1 + = 21 games
n teams : games
19 teams: 171 games
You might also like to view...
Are the sets equal?A is the set of residents age 31 or older living in the United StatesB is the set of residents age 31 or older registered to vote in the United States
A. Yes B. No
Solve the problem.The distance, in feet, that a car travels down the side of a mountain in each consecutive second is modeled by a sequence whose general term is an = 36n - 19, where n is the number of seconds. Find the distance the car travels in the fifth second.
A. 161 ft B. 180 ft C. 199 ft D. 125 ft
Solve for the variable. Choose the method you feel will work best.x(5x + 8) = 4
A. x = , x = -2
B. x = 0, x =
C. x = , x = 2
D. x = 0, x = -
Graph the hyperbola.xy = -
A.
B.
C.
D.