Suppose sum_r=0^2023 r^2 · ^2023C_r = 2023 × α × 2^2022. Then the value of α is _______

Suppose sum_r=0^2023 r^2 · ^2023C_r = 2023 × α × 2^2022.… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.) · numerical answer

Suppose

\sum_{r=0}^{2023} r^2 \cdot {}^{2023}C_r = 2023 \times \alpha \times 2^{2022}

. Then the value of

\alpha

is _______

Show answer

Answer: 1012

[JEE Main 2023 · 24 Jan · Shift 1 · Paper-1(B.E./B. Tech.)]

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