JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Sum of the scries

9+99+999+\ldots

upto

n

terms is

View answer and explanation

Correct option: B

\frac{1}{9}\left(10^{n+1}-9 n-10\right)

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

\frac{1}{9}(10^{n+1}-9 n-10)

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