If a,b,c are in GP then a^2,b^2,c^2 are in? |BITSAT Sequence Series|AP|GP|VIT|JEE|CET|PYQs

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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) = (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., 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, and d are in G P , show that (a^2+b^2+c^2)(b^2+c^2+d^2)=(ab+bc+cd)^2If 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^2 , b^2 , c^2 are in A.P. then prove that a/(b+c) , b/(c+a) , c/(a+b) are in A.P.If a^2 , b^2 , c^2 are in A.P. then prove that a/(b+c) , b/(c+a) , c/(a+b) are in A.P.
If a^2, b^2, c^2 are in AP, show that 1/(b+c), 1/(c+a), 1/(a+b) are in AP | Arithmetic ProgressionIf a^2, b^2, c^2 are in AP, show that 1/(b+c), 1/(c+a), 1/(a+b) are in AP | Arithmetic Progression
Let a,b,c be in AP and a^2,b^2,c^2 be in GP. If abc and a+b+c=3/2, then the value of a isLet a,b,c be in AP and a^2,b^2,c^2 be in GP. If abc and a+b+c=3/2, then the value of a is
If `a^2 , b^2, c^2 ` are in A.P., then (b+c) , (c+a) , (a+b) are inIf `a^2 , b^2, c^2 ` are in A.P., then (b+c) , (c+a) , (a+b) are in