Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMeans / inequalityMedium2 minQB
MathematicsMediummultiple choice

Positive A.P., G.P. and H.P. sequences have the same first and (2n-1)th terms. Their nth terms are a,b,c respectively. Which must hold?

Options:(select one or more)

Answer:
B, C
Solution:

Their middle terms are respectively the arithmetic, geometric and harmonic means of the two common positive endpoints. , and .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Means / inequality
⏱ 2mℹ️ Source: QB

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