Derive an expression for equivalent capacitance when two/three capacitors are in series. (July-2018)

Figure-1 shows two capacitors, C1 and C2, connected in series between terminals A and B. The voltage across C1 is V1 and the voltage across C2 is V2. The total voltage supplied by the battery is V.
Figure-2 shows the equivalent capacitor Cs connected between the same terminals, supplied by the same battery V.