The City Council shall be composed of a Mayor and five Councilmembers. Councilmembers shall be elected to and occupy positions on the City Council, such positions being numbered one, two, three, four and five. Members of the City Council, unless sooner removed under the provisions of this Charter or the Laws of the State of Texas, shall serve for a term of two (2) years. Terms shall commence the third Tuesday in May following the member’s election, and terminate at midnight on the Monday preceding the third Tuesday in May two years thereafter, or until the member’s successor has been elected and duly qualified. Councilmember positions one, three, and five shall be filled each even numbered year, and positions two and four shall be filled each odd numbered year. The office of Mayor shall be filled each odd numbered year.