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If a ,b ,c ,d are in G.P. prove that: (a...

If `a ,b ,c ,d` are in G.P. prove that: `(a^2+b^2),(b^2+c^2),(c^2+d^2)` are in G.P. `(a^2-b^2),(b^2-c^2),(c^2-d^2)` are in G.P. `1/(a^2+b^2),1/(b^2+c^2),1/(c^2+d^2)` are in G.P. `(a^2+b^2+c^2),(a b+b c+c d),(b^2+c^2+d^2)`

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