Mathematics · 2022
JEE Main · 30 July 2022, Shift 2 · Q66
The coefficient of x^1011 in the expression (1+2 x)^2022+2 x(1+2 x)^2021+(2 x)^2(1+2 x)^2020+…+(2 x)^2022 is
The coefficient of $\displaystyle x^{1011}$ in the expression
$$(1+2 x)^{2022}+2 x(1+2 x)^{2021}+(2 x)^2(1+2 x)^{2020}+\ldots+(2 x)^{2022} \text { is }
$$
Official answer
(3)
$\displaystyle { }^{2023} \mathrm{C}_{1011} \times(2)^{1011}$
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.