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If a, b, c, d are in GP, prove that (b...

If a, b, c, d are in GP, prove that
`(b-c)^(2)+(c-a)^(2)+(d-b)^(2)=(a-d)^(2)`.

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To prove that if \( a, b, c, d \) are in GP, then \[ (b-c)^2 + (c-a)^2 + (d-b)^2 = (a-d)^2, \] we will follow these steps: ...
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