If a, b, c, d are in G.P., then (a2 + b2 + c2)

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