Given that x, y and z are in G.P and x^p=y^q=z^s, then what progression are 1/p , 1/q, 1/s?
Let [math]x^2=y+z, y^2=z+x, z^2 = x+y.[/math] What is the value of [math]\frac{1}{1+x}+\frac{1}{1+y}+\frac{1}{1+z}?[/math]