The average score for the team over (N+1) games can be calculated as follows:
Total Runs After N Games: The first N games is the average (X) multiplied by the number of games (N). So, total runs after N games = N * X.
Total Runs After (N+1) Games: After the next game, Y runs are added to the previous total. Therefore, total runs after (N+1) games = N * X + Y.
Average Score After (N+1) Games: we divide the total runs after (N+1) games by the number of games (N+1). So, average score = (N * X + Y) / (N + 1).
Therefore, the average score for the team over the (N+1) games is (N * X + Y) / (N + 1).