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MathsJEE Main 4 Apr 2026, Shift 2·Q7·MCQ·Easy–moderate

Sequences & Series · Infinite geometric series

Let α=14+18+116+…∞\alpha = \dfrac14 + \dfrac18 + \dfrac1{16} + \ldots\infty and β=13+19+127+…∞\beta = \dfrac13 + \dfrac19 + \dfrac1{27} + \ldots\infty. Then the value of (0.2)log⁡5(α)+(0.04)log⁡5(β)(0.2)^{\log_{\sqrt5}(\alpha)} + (0.04)^{\log_5(\beta)} is equal to:
  1. (1)4
  2. (2)5
  3. (3)8
  4. (4)25

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