JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

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Application +4 | -1

Sum to 25 terms of the series

0.5 + 0.55+ 0.555 + \ldots

is:

View answer and explanation

Correct option: A

\frac{5}{{81}}\left( {224 - {{10}^{ - 25}}} \right)

Option A (

\frac{5}{{81}}\left( {224 - {{10}^{ - 25}}} \right)

) is correct because by converting the decimal series into a geometric progression, we can find the sum to 25 terms.

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