Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMeans / inequalityMedium2 minQB

MathematicsMediummultiple choice

The arithmetic mean of positive $a > b$ is twice their geometric mean. What can $a : b$ be?

Answer:

A, B, C

Solution:

$(a + b) /2 = 2 ab$ gives $a / b + b / a = 14$ . Since $a > b, a / b = 7 + 43 = (2 + 3) / (2 - 3) = 1/ (7 - 43)$ .

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

⏱ 2mℹ️ Source: QB

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