If a,b,c,d are in GP, then show that a2+b2,b2+c2,c2+d2 are in GP....

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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, d are in G.P., then (a2 + b2 + c2) If a, b, c, d are in G.P., then (a2 + b2 + c2)
If a,b,c,dare in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P. If a,b,c,dare in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P.
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,d………are in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P. If a,b,c,d………are in G.P., then show that `(a+b)^2, (b+c)^2, (c+d)^2` are in G.P.
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)=(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
(a2 + b2 + c2)p2 – 2(ab + bc + cd) p + (b2 + c2 + d2) ≤ 0, then show that a, b, c and dare in G.P. (a2 + b2 + c2)p2 – 2(ab + bc + cd) p + (b2 + c2 + d2) ≤ 0, then show that a, b, c and dare in G.P.