"then provided" is correct and usable in written English.
You can use this phrase to introduce an action that follows another action. For example, "I reviewed the contract, then provided my signature."
She then provided her own answer.
The crash then provided the trigger.
He had then provided information on drug deals and counterfeiting.
The bellhop then provided brief instructions for ordering room service.
Investors then provided $1.1 billion to finish the project.
"Why not Libya, Malta, Lampedusa?" he asked, and then provided the answer: "Publicity".
His research then provided a model for assessing the long-term environmental effects of such events.
Mr. McNeese then provided more identities and a transfer was arranged, according to the complaint.
"What's our assignment for today and tomorrow?" Mr. Wagoner asked, and then provided the answer.
West Germany and Austria then provided one of the great World Cup stitch-ups.
Greek philosophy, then, provided the organizing principles by which the central Christian doctrines were formulated.
