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JEE Main Mathematics question

MathematicsSequence and SeriesJEE Main

Let for . Suppose are in Arithmetic Progression (A.P.) with the common difference . Suppose are in A.P. such that and . If and , then

Answer: (B)

Solution

The form a GP with ratio , and the form an AP with the same first and terms; between two points, the terms of the AP lie above those of a GP of increasing positive terms (arithmetic mean geometric mean for each pair of symmetric terms), so for and . Beyond the

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Question ID VK-022024