A finite ladder is constructed by connecting several sections of \[2\mu F,\ 4\mu F\] capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between [MP PMT 1999; KCET (Engg./Med.) 1999]

• A.                                                      \[4\mu F\]
• B.                    \[2\mu F\]
• C.                    \[18\mu F\]
• D.                    \[6\mu F\]