'Offering' in the Bible

When David had finished offering the burnt offerings and peace offerings, he blessed the people in the name of the Lord of hosts (armies),

For your servant made a vow while I lived at Geshur in Aram (Syria), ‘If the Lord will in fact bring me back to Jerusalem, then I will serve the Lord [by offering a sacrifice of thanksgiving].’”

And Absalom sent for Ahithophel the Gilonite, David’s counselor, from his city Giloh, while he was offering sacrifices. And the conspiracy grew strong, for the people with Absalom increased continually.