The author further explains that every "human" high priest was required to make sacrifice for the people but first has to offer a sacrifice for his own Sin. Jesus, the "high priest forever" lived the sinless life and therefore did not need to offer a sacrifice for himself. This makes him uniquely qualified to be the atoning sacrifice for the entire human race.
Chapter 5 concludes with a reminder that we are not called to simply accept Jesus but to follow him and to move on toward discipleship. The author criticizes the growth of his audience by noting that they are still drinking milk and have not yet moved on to the solid food of faith. The goal of the ministry of every church is to raise up mature and fully functioning followers of Jesus Christ. We call them disciples.