Given a + d b + c where a, b, c, d are real | vedclass

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(B) If $a, b, c, d$ are in $H.P.$,then their reciprocals $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}, \frac{1}{d}$ are in $A.P.$Let the common difference o

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$\frac{1}{a}, \frac{1}{b}, \frac{1}{c}, \frac{1}{d}$ are in $A.P.$

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(B) If $a, b, c, d$ are in $H.P.$,then their reciprocals $\frac{1}{a}, \frac{1}{b}, \frac{1}{c}, \frac{1}{d}$ are in $A.P.$Let the common difference of this $A.P.$ be $k$.Then $\frac{1}{b} - \frac{1}{a} = k$,$\frac{1}{c} - \frac{1}{b} = k$,and $\frac{1}{d} - \frac{1}{c} = k$.For $a, b, c, d$ to be in $H.P.$,the condition $a + d > b + c$ is satisfied when the terms are in harmonic progression.Thus,$\frac{1}{a}, \frac{1}{b}, \frac{1}{c}, \frac{1}{d}$ are in $A.P.$

Given $a + d > b + c$ where $a, b, c, d$ are real numbers,then

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