What was the ultimate purpose of the covenant God made with Abraham?
God's covenant with Abraham had as its ultimate purpose that salvation would go to the ends of the earth. The promises included making Abraham a great nation and his name great, but the culminating end was that through Abraham salvation would reach all peoples.
Les explains that the covenant promises were repeated almost word for word to Abraham, Isaac, and Jacob. God told Abraham, 'I will make of you a great nation, your name shall be great.' The ultimate end of that covenant was that through this man salvation would go to the ends of the earth. Peter later claims these covenant promises, addressing the God of Abraham, Isaac, and Jacob as the God of our fathers, showing how Jewish the context is. The nation of Israel delivered up and denied Jesus before Pilate, but God glorified His Son.
The God of Abraham, and of Isaac, and of Jacob, the God of our fathers, hath glorified his Son Jesus; whom ye delivered up, and denied him in the presence of Pilate, when he was determined to let him go.