JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

The value of

{0.2^{{{\log }_{\sqrt 5 }}\left( {\frac{1}{4} + \frac{1}{8} + \frac{1}{{16}} + \ldots } \right)}}

, is

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Correct option: A

Option A (4) is correct because after simplifying the infinite geometric series and applying logarithm properties, the expression evaluates to 4.

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\frac{3}{4}