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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of the series 6+66+666+...6 + 66 + 666 + ... upto nn term is
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Correct option: B
2(10n+1−9n−10)27\frac{{2({{10}^{n + 1}} - 9n - 10)}}{{27}}
Option B is correct because the sum of the series is derived by manipulating the series and using the formula for the sum of a geometric progression.

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