JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sum of 100 terms of the series

0.9 + 0.09 + 0.009 \ldots

will be

View answer and explanation

Correct option: A

1 - {\left( {\frac{1}{{10}}} \right)^{100}}

Option A (

1 - {\left( {\frac{1}{{10}}} \right)^{100}}

) is correct because it represents the sum of the given series, which is a geometric progression, up to 100 terms.

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