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Mathematics · 2022

JEE Main · 25 June 2022, Shift 1 · Q30

The greatest integer less than or equal to the sum of first 100 terms of the sequence 1/3, 5/9, 19/27, 65/81, … is equal to \ \ \ \.

The greatest integer less than or equal to the sum of first $\displaystyle 100$ terms of the sequence $\displaystyle \frac{1}{3}, \frac{5}{9}, \frac{19}{27}, \frac{65}{81}, \ldots$ is equal to \_\_\_\_.
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.