If a,b,c,d be in G.P. show that `(b-c)^2+(c-a)^2+(d-b)^2=(a-d)^2.`

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