JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum to

n

terms of the series

11+103+1005+\ldots

. Is

View answer and explanation

Correct option: C

\frac{10}{9}\left(10^n-1\right)+n^2

Option C (

\frac{{10}}{{9}}(10^n-1)+n^2

) is correct because it is derived by separating the series into a geometric progression and an arithmetic progression.

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\frac{3}{4}