One of the accomplishments of the death/blood of Christ unto all for whom He died, is that it makes us to serve the Living God; Heb 9:14
14 How much more shall the blood of Christ, who through the eternal Spirit offered himself without spot to God, purge your conscience from dead works to serve the living God?
This purge of conscience from dead religious works [false religion] compatible with what Peter wrote 1 Pet 1:18 unto serving the True and Living God, is an efficacious effect of the Blood of Christ !
That word serve is the greek word latreuō and means:
I.
to serve for hire
II.
to serve, minister to, either to the gods or men and used alike of slaves and freemen
A.
in the NT, to render religious service or homage, to worship
B.
to perform sacred services, to offer gifts, to worship God in the observance of the rites instituted for his worship
i.
of priests, to officiate, to discharge the sacred office
Its the same word used here Rev 7:15
15 Therefore are they before the throne of God, and serve him day and night in his temple: and he that sitteth on the throne shall dwell among them.
Rev 22:3
And there shall be no more curse: but the throne of God and of the Lamb shall be in it; and his servants shall serve him:
Its the word worship here Acts 24:14
14 But this I confess unto thee, that after the way which they call heresy, so worship I the God of my fathers, believing all things which are written in the law and in the prophets:
And note that this worship consisted in believing all things which are written in the law and prophets, which of course revealed Christ Lk 24:44
OT equivalent Deut 6:13
13 Thou shalt fear the Lord thy God, and serve him, and shalt swear by his name.
Deut 10:12
And now, Israel, what doth the Lord thy God require of thee, but to fear the Lord thy God, to walk in all his ways, and to love him, and to serve the Lord thy God with all thy heart and with all thy soul,
Josh 24:15
15 And if it seem evil unto you to serve the Lord, choose you this day whom ye will serve; whether the gods which your fathers served that were on the other side of the flood, or the gods of the Amorites, in whose land ye dwell: but as for me and my house, we will serve the Lord.
Phil 3:3
3 For we are the circumcision, which worship /serve God in the spirit, and rejoice in Christ Jesus, and have no confidence in the flesh.
This what Paul refers to now, of worship/serve God in the Spirit, it is this which results solely from the Blood of Christ in Heb 9:14 !
And since we know that in order to serve God in such a way here, it takes a believing Faith Acts 24:14
14 But this I confess unto thee, that after the way which they call heresy, so worship I the God of my fathers, believing all things which are written in the law and in the prophets:
The word for believing is the greek word pisteuó:
I believe, have faith in, trust in; pass: I am entrusted with.
pisteúō (from 4102 /pístis, "faith," derived from 3982 /peíthō, "persuade, be persuaded") – believe (affirm, have confidence); used of persuading oneself (= human believing) and with the sacred significance of being persuaded by the Lord (= faith-believing). Only the context indicates whether 4100 /pisteúō ("believe") is self-serving (without sacred meaning), or the believing that leads to/proceeds from God's inbirthing of faith.
This type of believing in serving and worshiping of the True God is a blessing that is efficaciously wrought into all for whom Christ shed His Blood, this cannot be refuted without serious blasphemy !