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JEE Main 2024 Mathematics question

MathematicsSequence and SeriesJEE Main 2024

Let a and b be two distinct real numbers. Let 11ᵗʰ term of a GP, whose first term is a and third term is b, is equal to pᵗʰ term of another GP, whose first term is a and fifth term is b. Then p is equal to

Answer: (C)

Solution

For the first G.P., ar² = b, so r² = b/a and the 11th term is ar¹⁰ = a(b/a)⁵. For the second, ar₁⁴ = b, so r₁⁴ =

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Question ID VK-017001