First, review how you would go about finding an average. If you look only at the 5 scores given, 16, 12, 15, 13 and 17, you'd add these up and divide the sum by the number of scores (5).
Now suppose there's a 6th game and your score is x.
Add up the first 5 scores as before, and then add x to indicate the 6th score. Divide this sum by 6 (because there are now 6 scores).
Solve the resulting equation for x. Show your work, please.