JEE Main 2024 Mathematics question
If each term of a geometric progression a₁, a₂, a₃, ..... with a₁ = 1/8 and a₂ ≠ a₁, is arithmetic mean of the next two terms, then S₂₀ – S₁₈ is equal to
Answer: (C)
Solution
With terms a, ar, ar², …, the condition 2a₂ = a₃ + a₄ gives 2ar = ar² + ar³, so r² + r − 2 = 0, (r +
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