NVAMediumJEE Main 2023 · 6 April, Shift 2Sum of Series

Mathematics Question from JEE Main 2023 · 6 April, Shift 2

If (20)19+2(21)(20)18+3(21)2(20)17++20(21)19=k(20)19\left(20\right)^{19} + 2\left(21\right)\left(20\right)^{18} + 3\left(21\right)^2 \left(20\right)^{17} + \cdots + 20\left(21\right)^{19} = k\left(20\right)^{19}, then kk is equal to _____:

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