He has owned a series of 'successively' larger boats. [=a series of boats in which each boat is larger than the one before it]
It snowed for three 'successive' [='consecutive'] days.
their fourth 'successive' [='consecutive'] victory
(..) Lay back. Let the other drivers fight for position. - And the best strategy... - But if I'm in the back, how do I get to him? The race will bring him to you. With each successive lap, there will be fewer and fewer chariots. Which is why it's important for you to stay back. last to die. (..)2016 Ben-Hur