Solve the Problem Using Inductive Reasoning

Essay

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.
$\begin{array} { c | c } \text { Number of teams } & \text { Number of games played } \\\hline 3 \text { teams } & 3 \text { games } \\4 \text { teams } & 6 \text { games } \\5 \text { teams } & 10 \text { games } \\6 \text { teams } & -\text { games } \\7 \text { teams } & - \text { games }\end{array}$