Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMeans / inequalityMedium2 minQB

MathematicsMediumsingle choice

If one A.M. $A$ and two G.M.s $p$ and $q$ be inserted between two numbers $a$ and $b$ , then which of the following is hold good

Answer:

Solution:

Given $a + b = 2 A$

And $a, p, q, b \in$ G.P.

$∴ p^{2} = a q$ and $q^{2} = p b$

$\Rightarrow p^{3} = a pq$ and $q^{3} = b pq$

by adding we get

P³ + q³= apq + bpp

= pq(a + b) = 2Apq

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Means / inequality

⏱ 2mℹ️ Source: QB

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