Let and Then the | Sequence and Series | JEE MAIN 2026

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JEE MAIN 2026

04-04-2026 S2

Question

Let $\alpha=\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\ldots \infty$ and $\beta=\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\ldots \infty$. Then the value of $(0.2)^{\log _{\sqrt{5}}(\alpha)}+(0.04)^{\log _5(\beta)}$ is equal to:

Select the correct option:

A

4

B

5

C

8

D

25

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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