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Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesH.P.Medium2 minQB

MathematicsMediumsingle choice

If $b + c, c + a, a + b$ are in H.P., what progression contains $a^{2}, b^{2}, c^{2}$ ?

Options:

Answer:

Solution:

The H.P. condition is $2/ (a + c) = 1/ (b + c) + 1/ (a + b)$ . Clearing denominators yields $2 (a + b) (b + c) = (a + c) (a + 2 b + c)$ . Expanding and cancelling gives $2 b^{2} = a^{2} + c^{2}$ , the A.P. condition for their squares.

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

⏱ 2mℹ️ Source: QB

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