The point is not that the resurrection is the price paid for our sins. The point point is that the resurrection proves the death of Jesus is an all-sufficient price. If Jesus did not rise from the dead, then his death was a failure, God did not vindicate his sin-bearing achievement, and we are still in our sins.
John PiperWhat is the essence of evil? It is forsaking a living fountain for broken cisterns. God gets derision and we get death. They are one: choosing sugarcoated misery we mock the lifegiving God. It was meant to be another way: God's glory exalted in our everlasting joy.
John Piper