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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Sum to infinity of the series 34−542+343−544+345−546+…\frac{3}{4}-\frac{5}{4^2}+\frac{3}{4^3}-\frac{5}{4^4}+\frac{3}{4^5}-\frac{5}{4^6}+\ldots is
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Correct option: A
715\frac{7}{15}
Option A (715\frac{7}{15}) is correct because it is the sum to infinity of the given series.

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