If a , b , c are in H.P., then b + c a , c + a b , a + b c are in

Given a , b , c ∈ H.P. So, a 1 , b 1 , c 1 ∈ A.P. a a + b + c , b b + c + a , c c + a + b ∈ A.P. By using concept if a , b , c ∈ A . P . Then their reciprocals are in H.P.

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Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesH.P.Easy2 minQB

MathematicsEasysingle choice

If $a, b, c$ are in H.P., then $\frac{a}{b + c}, \frac{b}{c + a}, \frac{c}{a + b}$ are in

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Answer:

Solution:

Given $a, b, c \in$ H.P.

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

$\frac{a + b + c}{a}, \frac{b + c + a}{b}, \frac{c + a + b}{c} \in$ A.P.

By using concept if $a, b, c \in A . P$ .

Then their reciprocals are in H.P.

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:H.P.

⏱ 2mℹ️ Source: QB

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