If `R_(1)` is the circumradius of the pedal triangle of a given triangle ABC, and `R_(2)` is the circumradius of the pedal triangle of the pedal triangle formed, and so on `R_(3), R_(4)`..., then the value of `sum_( i=1)^(oo) R_(i)`, where R (circumradius) of `DeltaABC` is 5 is
A. 8
B. 10
C. 12
D. 15