JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Application +4 | -1

For

x \in R,\,\mathrm{let}\left[ x \right]

denote the greatest integer

\le x

, then the sum of the series

\left[ { - \frac{1}{3}} \right] + \left[ { - \frac{1}{3} - \frac{1}{{100}}} \right] + \left[ { - \frac{1}{3} - \frac{2}{{100}}} \right] + ... + \left[ { - \frac{1}{3} - \frac{{99}}{{100}}} \right]

View answer and explanation

Correct option: B

- 133

Option B (-133) is correct because it is the sum of the series after evaluating the greatest integer function for each term.

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