JEE Main 2022 Mathematics question

MathematicsSequence and SeriesJEE Main 2022

Let , , , …, be in geometric progression with and the common ratio 1/2. A new data is construction replacing each by . If x̄ is the mean of new data, then the greatest integer less than or equal to x̄ is .

Answer: 142

Solution

x̄ = . Here − 1/4) = , ix_{i}2)^{i-1}$ = 12(1 -

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Question ID VK-034803