# Infinitely Infinite Resistors

Find the resistance between the points $$A$$ and $$B$$ of an infinite circuit shown. The resistance of the resistors in each loop is twice those of the previous loop on its left.

Given that the resistance can be written as:

$$\frac { a+\sqrt { b } }{ c }$$

Find $$a+b+c$$

SJPO SPECIAL ROUND 2010

This question is part of my set SJPO Practice Questions

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