The Board of the District shall warn a special meeting of the District by filing a notice with the Clerk of each member and by posting or causing to be posted a notice in at least three public places in each municipality in the District not less than 30 nor more than 40 days before the meeting. The warning shall be published in one or more newspapers of general circulation in the District once a week on the same day of the week for three consecutive weeks before the meeting, the last publication to be not less than five nor more than 10 days before the meeting.