WASHINGTON -- Federal authorities have tied a fifth shooting to a series of shootings targeting military sites, this time a Coast Guard recruiting station, but no suspects have been identified.

The latest shooting was reported Tuesday morning at a recruiting station in a suburban Washington strip mall. No one has been injured in any of the shootings.

Lindsay Godwin, a spokeswoman for the FBI's Washington field office, said Wednesday that investigators have not identified a suspect.

Details about the kind of gun used have not been disclosed, but it's generally believed the gunman is using a high-powered rifle, giving him the ability to shoot from a long distance.

Coast Guard Spokesman, Petty Officer David Marin, said the first person to arrive at the recruiting station Tuesday morning noticed a bullet lodged in the front door and a damaged window nearby. At around 7 a.m. the office commander called the police.

So far the shooter has demonstrated a pattern of firing at night when the buildings are vacant.

John Perren, the acting assistant director for the FBI's Washington field office, said during a press conference last Friday that investigators believe the person takes issue with the institution of the Marines, but not those serving in uniform. The shooter has not hurt anyone in the attacks and authorities don't believe the person wants to harm citizens or Marines.

The first in the series of shootings happened in the early morning hours of Oct. 17, when police in Quantico, Va., responded to shots fired at the Marine Corps Museum that destroyed $20,000 worth of glass panels.

A day later police and FBI investigators responded in force when six shots were fired into the south side of the Pentagon, leaving bullets embedded in two different windows. Investigators closed entrances to the Pentagon and shut down traffic on a major highway to search for evidence.

The third shooting occurred sometime overnight either late on Oct. 18th or early Oct. 19 at the Marine Corps recruiting station in Chantilly, Va.

Last Friday, shots were fired again at the Marine Corps Museum.

Authorities are said to be working under the assumption that the individual was part of the Marine Corps and possibly dealing with a traumatic event such as loss of a job, financial problems or divorce.

"We'd like to know what this grievance is and what we can do to try to help solve it," Perren said, urging anyone who may have information about the suspect to contact authorities and told people to quickly report gunfire or suspicious activity.

Fox News' Justin Fishel and the Associated Press contributed to this report.