Show that x2+xy+y2,z2+zx+x2 and y2+yz+z2 are consecutive terms of an A – InterviewSolution

1.	Show that x2+xy+y2,z2+zx+x2 and y2+yz+z2 are consecutive terms of an A.P., if x,y and z are in A.P.
Answer» Show that $x^{2} + x y + y^{2}, z^{2} + z x + x^{2}$ and $y^{2} + y z + z^{2}$ are consecutive terms of an A.P., if $x, y$ and $z$ are in A.P.

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