JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the first 20 terms of the series

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

is?

View answer and explanation

Correct option: D

38+\frac{1}{2^{19}}

Option D (38+

\frac{1}{2^{19}}

) is correct because the sum of the series is calculated by recognizing the pattern and using the formula for the sum of a geometric series.

More Questions from SEQUENCE OF SERIES

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\frac{3}{4}