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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1
Sum of nn terms of the series 12+34+78+1516+...\frac{1}{2} + \frac{3}{4} + \frac{7}{8} + \frac{{15}}{{16}} + ... is
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Correct option: D
2−n+n−1{2^{ - n}} + n - 1
Option D (2−n+n−1{2^{ - n}} + n - 1) is correct because it is derived by summing the given series after rewriting each term.

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