If $\alpha, \beta$ are the roots of the equation, $x^2-x-1=0$ and $S_n=2023 \alpha^n+2024 \beta^n$, then :

Question

$2 S_{12}=S_{11}+S_{10}$

$S_{12}=S_{11}+S_{10}$

$S_{11}=S_{10}+S_{12}$

$2 S_{11}=S_{12}+S_{10}$

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