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JEE Main 2026 Mathematics question

MathematicsSequence and SeriesJEE Main 2026

Let a₁, a₂, a₃, … be an A.P. and g₁ = a₁, g₂, g₃, … be an increasing G.P. If a₁ = a₂ + g₂ = 1 and a₃ + g₃ = 4, then a₁₀ + g₅ is equal to:

Answer: (D)

Solution

a₁ = 1, g₁ = 1. From a₂ + g₂ = 1: d + r = 0. From a₃ + g₃ = 4: 1 + 2d + r² = 4, so r² − 2r − 3 = 0,

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Question ID VK-015113