If the sum of the series `S=1+5/11+12/((11)^2)+22/((11)^3)+35/((11)^4)+.....oo ` can be expressed in the form of a rational number p/q in the lowest form, then the value of `(p+q)` equals (i) `2573` (ii)`2753` (iii)`2375` (iv) `2357`