If a, b, c and d are in G.P., show that, `a^(2)+b^(2)+c^(2), ab+bc+cd, b^(2)+c^(2)+d^(2)` are in

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25. If a, b, c and d are in G.P. show that(a2 + b2 + c2) (b2 + c2 + d2) = (ab + bc + cd)2 . 25. If a, b, c and d are in G.P. show that(a2 + b2 + c2) (b2 + c2 + d2) = (ab + bc + cd)2 .
If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2)(b^2 + c^2 + d^2) = (ab + bc + cd)^2. If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2)(b^2 + c^2 + d^2) = (ab + bc + cd)^2.
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 → ... 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 → ...
If a,b,c, and d are in G P , show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2 If a,b,c, and d are in G P , show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2
If a, b, c, d are in G.P., prove that: (a^2 + b^2 + c^2), (ab + bc + cd), (b^2 + c^2 + d^2) are in G If a, b, c, d are in G.P., prove that: (a^2 + b^2 + c^2), (ab + bc + cd), (b^2 + c^2 + d^2) are in G
If a,b,c,d be in G.P. show that `(a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2` If a,b,c,d be in G.P. show that `(a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2`
If \( a, b, c, d \) are in G.P., show that \[ (b-c)^{2}+(c-a)^{2}+(d-b)^{2}=(a-d)^{2} . \] If \( a, b, c, d \) are in G.P., show that \[ (b-c)^{2}+(c-a)^{2}+(d-b)^{2}=(a-d)^{2} . \]
If a, b, c, d and p are different real numbers such that:(a^2 + b^2 + c^2) p^2 – 2 (ab + bc + cd) p If a, b, c, d and p are different real numbers such that:(a^2 + b^2 + c^2) p^2 – 2 (ab + bc + cd) p