Infinite Radial Resistors

In the image, the black lines are connecting wires and colored lines are resistors of 1Ω1\, \Omega each. The first circle contains 8 resistors, the second one contains 16, the third one contains 32, and so on. There are infinitely many circles of resistors.

A cell is connected between the center and the outermost circle. The equivalent resistance ((in Ω)\Omega) between the terminals of the cell is k.k. What is 100k?100k?

Assume that the wires (black lines) have negligible resistance.

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