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Mathematics · 2023

JEE Main · 13 April 2023, Shift 1 · Q24

The sum to 20 terms of the series 2 · 2^2-3^2+2 · 4^2-5^2+2 · 6^2-… … is equal to ____.

The sum to $\displaystyle 20$ terms of the series $\displaystyle 2 \cdot 2^2-3^2+2 \cdot 4^2-5^2+2 \cdot 6^2-\ldots \ldots$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.