SUM Within Range Of Parameters

I have a datast that looks like:

ID Week Sales
1 1 $200
1 2 $300
1 3 $200
1 4 $250
1 5 $220
1 6 $100
2 1 $500
2 2 $100
2 3 $230
2 4 $250
2 5 $210
2 6 $110

I will have 3 parameters in different cells that will identify the range of data in which i'd like to get a SUM for:o

ID,
Week,
Number of weeks.

So for example my I would identify ID =1, Week = 3, # of Weeks = 2

I should get an output of: $450 ($200+$250, rows 3+4 from above).

I've tried using IF(AND and Sumifs nested.. but it's not working out..