If $a, b, c$ are in A.P., then prove that the following are also in A.P. $\frac{1}{b + c}, \frac{1}{c + a}, \frac{1}{a + b}$

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a, b, c

are in A.P., then prove that the following are also in A.P.

\frac{1}{b + c}, \frac{1}{c + a}, \frac{1}{a + b}

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Question Text

a, b, c

are in A.P., then prove that the following are also in A.P.

\frac{1}{b + c}, \frac{1}{c + a}, \frac{1}{a + b}

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