Chapter 13 is the last chapter of Hebrews. Paul closes with final instructions and encouragements. Hebrews 12 ended with a call to offer acceptable service, and here in chapter 13, Paul gives practical ways for these believers to obey God and endure until the end in order to receive their inheritance reward. Paul offers encouragement to those who might be tempted to draw back from their faith because of hardship or persecution. He also reminds these believers of the privileges we gain by having access to the better sacrifice and the better high priest, Jesus. Paul ends his letter with a prayer for this group of believers and an encouragement to take heed of his words.
Paul gives specific examples of how believers ought to be living in order to please God.
Paul encourages his readers to imitate their leaders and not be led astray by false teachings.
Paul compares the Old Covenant sacrifices with the new. This leads us to follow the example of Christ, and suffer His reproach in this world.
We have the opportunity to offer up better sacrifices to God than animals, through our praise.
We ought to submit to those in leadership over us.
Paul ends his letter with a prayer on their behalf and an encouragement to pay attention to the words he wrote to them.