JEE Main 2024 Mathematics question
In an increasing geometric progression of positive terms, the sum of the second and sixth terms is and the product of the third and fifth terms is 49. Then the sum of the 4th, 6th and 8th terms is:
Answer: (C)
Solution
T₃T₅ = T₄² = 49 ⇒ ar³ = 7. Then 7/r² + 7r² = 70/3 gives r² = 3
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