JEE Main 2024 Mathematics question
Let 2ⁿᵈ, 8ᵗʰ and 44ᵗʰ terms of a non-constant A.P. be respectively the 1ˢᵗ, 2ⁿᵈ and 3ʳᵈ terms of a G.P. If the first term of the A.P. is 1, then the sum of its first 20 terms is equal to
Answer: (D)
Solution
The terms a + d, a + 7d, a + 43d are in G.P.: (a + 7d)² = (a + d)(a + 43d), which gives
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