A remarkably simple (circular) type equation shows the general value for phin. (Phin)n = 1/(2 - phin)Thus when n = 1, Phi1 = 1/(2 - phi1). Thus here, phi1 = 1. When n = 2, (Phi2)2 = 1/(2 - phi2). Apart from the trivial solution i.e. 1 (which satisfies the equation for all values of n), the real valued solution for phi2 (i.e. phi) is 1.6180339887.., When n = 3, (Phi3)3 = 1/(2 - phi3). As we have seen the value for phi3 = 1.839286755…When n = 4, (Phi4)4 = 1/(2 - phi4). The value here for phi4 = 1.9275619…So it goes for any value of n.
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