JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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\underbrace{666 \ldots \ldots \ldots .6}_{\text {atimes }}

is equal to

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Correct option: B

\frac{2}{3}\left(10^{\mathrm{n}}-1\right)

Option B (

\frac{2}{3}(10^{\mathrm{n}}-1)

) is correct because the repeating 6's can be expressed as a geometric series.

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