Last N entries thet meet criteria

Hello,
I have a worksheet with football results from the English premier league. The columns contain data on the home team, away team, goals scored by the home team and goals scored by the away team. I need a formula that sums the goals scored by a team in the last 5 matches (both home and away). For example, if Arsenal have played 10 games, I would like to know the total number of goals scored by Arsenal in matches 6,7,8,9 and 10, and not from game 1,2,3,4 or 5.
Thank You.