If R(1) is the circumradius of the pedal...

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 `underset( i=1)overset(oo)sum R_(i)`, where R (circumradius) of `DeltaABC` is 5 is

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