Nice!mjcox2000 wrote:Cathy-TJ wrote:Calculate the resistance between terminals A and B in the infinite chain of resistors where all resistors are 1 ohm.

https://drive.google.com/open?id=1SuAGn ... q1QjmSB_6HSince the network repeats, if its resistance is R, it consists of a 1-ohm resistor in series with a unit consisting of a parallel 1-ohm and R-ohm resistor. Solving for R, we see that [math]R=\frac{1+\sqrt5}2\Omega[/math], or assuming sufficient sig figs, about [math]1.618\Omega[/math].

The answer is also the golden ratio!