Consider the above infinite chain of resistors. Calculate the effective resistance, R in ohm of the network between the terminals A and B given that each of the resistances labelled r=4180 ohm. I've split the resistor and I've done R^2-Rr-r^2=0, solving for R and I don't get the right answer. I've also cut the resistor and worked it out so I get an equation of R^2+2Rr-2r^2=0 and I get the wrong answer. Since it is an infinite chain I thought it was possible to split the resistor and keep maybe the first two or three resistors. Please Help!