if a,b,c,d are in gpthn prove that [a2-b2] ,[b2-c2],[c2-d2]are in ap

We have,a, b, c, d are in GP.i.e. a, b, c are in GPa2, b2, c2 are in GP       Square of a GP is also a GPAgain, b, c, d are in GP.b2, c2, d2 are in GPNow, a2, b2, c2 are in GP and b2, c2, d2 are in GPa2-b2, b2-c2, c2-d2 are in GP.      Difference of two GPs are also a GP

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Can you tell me the question is from which book.
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Is the question correct? I think it should be to prove that the series is in GP
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