The Board of Park Commissioners shall consist of five duly qualified citizens of the Municipality to be appointed by the Mayor and approved by the Council. Each member of such Board must be a resident of the City, one of whom must be a member of City Council. The term of the board membership of any such member of the governing body so appointed shall continue during his term as a member of such governing body and until his successor is appointed or elected and qualified. The terms of other appointed or of elected members shall be for six years, and until their successors have been duly appointed or elected and qualified: Provided, the members of the first board to serve, one for a term of six years, one for a term of four years, and one for a term of two years. The date upon which the terms of such board members shall begin is July 1 of the year appointed. When any member of the board, during his term of office, shall cease to be a resident of the City, he shall thereby be disqualified as a member of said board and his office shall thereupon become vacant.