In two of those robberies, the suspects, armed with assault weapons, fired rounds while inside the bank.
Powder-residue tests are used to determine if a suspect has recently fired a gun.
The police said three suspects fired at least 15 shots and then fled in the car.
She said the police did not know why the suspect had originally fired shots.
It was unclear how many shots the suspects fired.
Law-enforcement officials said Tuesday that the suspect had fired only that one shot.
The pursuit ended three blocks away when the suspect turned and fired, hitting one of the officers.
The suspects fired first, Sergeant Cuneo said, and the police returned fire.
As he emerged, the suspect, who'd paused behind a clump of nearby brush, fired two shots.
In recent months two suspects have fired machine guns in the street, 20 to 30 rounds each time.