(a) Except for the initial terms of office, the members of the City Council shall serve for terms of four (4) years, beginning the day and hour of the organizational meeting following their election, as established by ordinance in accordance with this Charter; provided, they shall serve until their successors are elected and qualify.
(b) No person shall be eligible to be a candidate or be elected as a member of the City Council, or to serve in such capacity, unless he is a resident and a qualified voter of the City.
(c) If any elected Councilman shall refuse to qualify, or if there shall be any vacancy in the office of Councilman after election and qualification, the remaining members of the Council shall by majority vote appoint some qualified person to serve for the unexpired term. Any Councilman so appointed shall have the same authority and powers as if regularly elected.