JEE Main 2024 Mathematics question

MathematicsSequence and SeriesJEE Main 2024

Let be in an arithmetic progeression of positive terms. Let . If , and , then is equal to .

Answer: 910

Solution

= Σ(a₂ⱼ₋₁ − a₂ⱼ)(a₂ⱼ₋₁ + a₂ⱼ) = −d × (sum of the first 2k terms) = −dk(2a₁ + (2k − 1)d). The three

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Question ID VK-011574