If \( a . b, c, d \) are in continued proportion, prove that \( \left(a^{2}+b^{2}+c^{2}\right)\l...

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If \( a, b, c, d, e \) are in continued proportion, prove that \( (a b+b c+c d+d e)^{2}=\left(a^... If \( a, b, c, d, e \) are in continued proportion, prove that \( (a b+b c+c d+d e)^{2}=\left(a^...
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If a,b,c,d are in continued proportion prove that (b-c)²+ (c-a)²+ (d-b)²= (a-d)² If a,b,c,d are in continued proportion prove that (b-c)²+ (c-a)²+ (d-b)²= (a-d)²