Reference: Fataawa Ramadhaan – Volume 2, Page 657, Fatwa No. 661
ad-Durur as-Sunniyah fil-Ajwibah an-Najdiyah – Volume 5, Page 360
Question: Is continuity (i.e. fasting all the required days consecutively) obligatory in making up the fasts of Ramadhaan?
Response: As for making up the fasts of Ramadhaan, then continuity [in making them up] is not obligatory.