JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

Sum of the first

n

terms of the series

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

is equal to

View answer and explanation

Correct option: C

n+2^{-n}-1

Option C (

n+2^{-n}-1

) is correct because the sum can be rewritten as a difference of 1 and a geometric progression, which simplifies to the given expression.

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