if a , b , c , d are in continued proportion prove that (b-c)^2+(a-b)^2+(b-d)^2=(a-d)^2
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Since a, b, c, d are in continued proportion then. a/b = b/c = c/d = k. ⇒ a = bk, b = ck , c = dk. ⇒ a = ck2. ⇒ a = dk3, b ...
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