My first 3.0Si didn't use any, but I bought it on 54K and sold it on 62K.
My next 3.0Si needed 1.75 litres of top-ups from 82K to 89K.
My 325i used a litre and a half between 132K and 139K.
After having the oil filter housing gasket replaced my current 330i has used 0.75 litre in the last 2K miles (it's on 130K now).
As they get older they do seem to get through a bit, but a litre in 1,700 miles suggests you may have an oil leak somewhere. Have a good look around the top of the engine for any signs of leakage from the cam-cover and oil filter housing.