Question

$\boxed{\text{If a , b , c are in AP then show that the given term is also in AP }}$
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$\sf{a\bigg{(}\dfrac{1}{b} + \dfrac{1}{c} \bigg{)} \:,\: b\bigg{(} \dfrac{1}{c} + \dfrac{1}{a} \bigg{)} \:,\: c\bigg{(} \dfrac{1}{a} + \dfrac{1}{b} \bigg{)} }$

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Answer 1

Answer:

$\boxed{\text{If a , b , c are in AP then show that the given term is also in AP }}$

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$\sf{a\bigg{(}\dfrac{1}{b} + \dfrac{1}{c} \bigg{)} \:,\: b\bigg{(} \dfrac{1}{c} + \dfrac{1}{a} \bigg{)} \:,\: c\bigg{(} \dfrac{1}{a} + \dfrac{1}{b} \bigg{)} }$