what kind of oil are you using? post more information about the vehicle.... how many miles does it have?
if your piston rings are worn then try using a thicker oil, it will help simply by allowing less oil in to the combustion chamber.. higher mileage cars usually should be using a little thicker oil. you'll notice a difference too in terms of whether or not you have loud(chattery) valve noise under the rocker cover.
also consider researching a little information on the issue your having, not sure what you mean by "burning oil every week"? hopefully you continue to check your oil often and next time you chamge your oil try a thicker weight, hope this helps