JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Sum of the series

0.5+0.55+0.555+\ldots

upto

n

terms is

View answer and explanation

Correct option: D

\frac{5}{9}\left[n-\frac{1}{9}\left(1-\frac{1}{10^n}\right)\right]

Option D is correct because the sum of the series can be expressed and simplified to

\frac{5}{9}\left[n-\frac{1}{9}\left(1-\frac{1}{10^n}\right)\right]

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