There are 1 US Post Offices in Sequatchie County serving a total of 11,174 residents equating to 11,174 residents per post office. It's estimated that approximately 17,835 packages are handled across the 1 county post offices annually. Sequatchie County is a county located in the U.S. state of Tennessee. As of the 2010 census, the population was 14,112. Its county seat is Dunlap. Sequatchie County is part of the Chattanooga, TN\u2013GA Metropolitan Statistical Area."