WordWeb Online

1. One after the other
   "consecutive home runs";
   - back-to-back
    
2. In regular succession without gaps
   "consecutive concerts";
   - sequent, sequential, serial, successive
    
3. Successive (without a break)
   "sick for five consecutive days";
   - straight

1. In a sequential manner
   "he was consecutive ill, then well, then ill again";
   - sequentially, consecutively

See also: continuous, ordered, succeeding, uninterrupted

Encyclopedia: Consecutive