ધારોકે sum limits_{r=0}^{2023} r^{2023} C_r=2 | vedclass

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Question

using result

$\sum \limits_{r=0}^n r^{2 n} C_r=n(n+1) \cdot 2^{n-2}$

$=2023 	imes \alpha 	imes 2^{2022} 	ext { So, }$

$\Rightarrow \alpha=

Vedclass · Accepted Answer

$1012$

Vedclass · Answer

using result

$\sum \limits_{r=0}^n r^{2 n} C_r=n(n+1) \cdot 2^{n-2}$

$=2023 	imes \alpha 	imes 2^{2022} 	ext { So, }$

$\Rightarrow \alpha=1012$

ધારોકે $\sum \limits_{r=0}^{2023} r^{2023} C_r=2023 \times \alpha \times 2^{2022}$, તો $\alpha$ નું મૂલ્ય $............$ છે.

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