If a, b, c and d are in G.P. show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(a b+b c+c d)^2 . a, b, c, d → ...

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If a, b, c and d are in G.P. show that
(a^2+b^2+c^2)(b^2+c^2+d^2)=(a b+b c+c d)^2 .
a, b, c, d → Gb=a r, c=a r^2

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