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Mathematics · 2023

JEE Main · 6 April 2023, Shift 2 · Q23

If (20)^19+2(21)(20)^18+3(21)^2(20)^17+…+20(21)^19=k(20)^19, then k is equal to ____.

If $\displaystyle (20)^{19}+2(21)(20)^{18}+3(21)^2(20)^{17}+\ldots+20(21)^{19}=k(20)^{19}$, then $\displaystyle k$ 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.