If a recall petition or amended petition shall be certified by the Clerk to be sufficient in valid signatures the Clerk shall at once submit the same with the certificate to the Council and shall notify the officer sought to be recalled of such action. If the officer whose removal is sought does not resign within five (5) days after such notice, the Council shall thereupon order and fix a day for holding a recall election. Any such election shall be held not less than thirty (30) days and not more than forty (40) days after the petition has been presented to the Council, at the same time as any other general or special election held within such period; but if no such election be held within such period, the Council shall call a special recall election to be held within the aforesaid time.