JEE Main 2026 Mathematics question

Mathematics Sequence and Series JEE Main 2026

Let α = 1/4+1/8+1/16+… ∞ and β = 1/3+1/9+1/27+… ∞. Then the value of is equal to:

(A)4
(B)5
(C)8Correct
(D)25

Answer: (C)

Solution

α = β = 1/2. 2)^{\log_{\sqrt5}(1/2)}5^{-2\log_5(1/2)}$ =

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Question ID VK-015341