Suppose Σ r = 0 ²⁰²³ r²~²⁰²³C r = 2023 × α × 2²⁰²². Then the value of α is _ _ _ _ _ _

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Morning shift · Q24

JEE Main 202324 Jan, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Suppose

\sum\limits_{r = 0}^{2023} {{r^2}{}~^{2023}{C_r} = 2023 \times \alpha \times {2^{2022}}}

. Then the value of

\alpha

is ___________

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 24 Jan, Morning shift · Q24

JEE Main 202324 Jan, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Suppose

\sum\limits_{r = 0}^{2023} {{r^2}{}~^{2023}{C_r} = 2023 \times \alpha \times {2^{2022}}}

. Then the value of

\alpha

is ___________

Your answerType your answer. Integers and decimals are accepted.