If are in continued proportion prove that :

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(i) Since, a, b, c are in continued proportion Since, L.H.S. = R.H.S. hence proved that, . (ii) Since, a, b, c are in continued proportion Since, L.H.S. = R.H.S. hence proved that, . (iii) Since, a, b, c are in continued proportion Since, L.H.S = R.H.S hence proved that, a : c = (a² + b²) : (b² + c²). (iv) Since, a, b, c are in continued proportion Since, L.H.S. = R.H.S. hence proved that, a²b²c²(a^-4 + b^-4 + c^-4) = b^-2(a⁴ + b⁴ + c⁴). (v) Since, a, b, c are in continued proportion Since L.H.S. = R.H.S. hence proved that, abc(a + b + c)³ = (ab + bc + ca)³. (vi) Since, a, b, c are in continued proportion Since, L.H.S. = R.H.S. hence proved that, (a + b + c)(a - b + c) = a² + b² + c².

Mathematics

If are in continued proportion prove that :

Ratio Proportion

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