\begin{equation} \left(1+x+2 x^2 ight)^{20}=a_0+a_1 x+a_2 x^2+\ldots .+a_{40} x^{40} ext {. Then, } a_1+a_3+a_5+\ldots .+a_{37} ext { is equal to : } \end{equation} [JEE Main 2021, 18 Mar (Shift 1)]

Question

\begin{equation} \left(1+x+2 x^2ight)^{20}=a_0+a_1 x+a_2 x^2+\ldots .+a_{40} x^{40} 	ext {. Then, } a_1+a_3+a_5+\ldots .+a_{37} 	ext { is equal to : } \end{equation} [JEE Main 2021, 18 Mar (Shift 1)]

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\begin{equation} \left(1+x+2 x^2\right)^{20}=a_0+a_1 x+a_2 x^2+\ldots .+a_{40} x^{40} \text {. Then, } a_1+a_3+a_5+\ldot…

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