JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

The sum of first

n

terms of

\frac{1}{2}+\frac{3}{4}+\frac{7}{8}+\frac{15}{16}+\frac{31}{32}+\ldots

View answer and explanation

Correct option: A

2^{-n}+n-1

Option A (

2^{-n}+n-1

) is correct because it is the sum of the first n terms of the given series.

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\frac{3}{4}