Equivalent Resistance for Repetitive Buss/Load Network

I'm trying to find an elegant solution to this problem - consider simple buss wires, with, albeit very small, resistance (Rb) supplying a load (Rl); equivalent resistance is 2Rb +Rl. Then add in another "sector" of buss and load; equivalent resistance, with a bit of algebra, is 2Rb + Rl(2Rb + Rl)/(2

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