The writer had given nearly three chapters of exhortation, dire warnings in stern language. Now he turned to encouragement, feeling certain his audience would respond to God’s call through his letter.
It is hard to know what exactly was meant by this extreme measure, but it seems this was real, and was intended for ultimate good.
The flow of Hebrews, then, so far, is to begin with Jesus and our right response, then to examine our need. Having pointed to Jesus as both fully God and also fully human, as uniquely able to pull off a God-sized rescue of all creation and also meet you and me right where we are, the writer would now address three great needs he saw among his readers, the Jewish believers.