If $\alpha, \beta$ are the roots of the equation, $x^2-x-1=0$ and $S_n=2023 \alpha^n+2024 \beta^n$, then
If $\alpha, \beta$ are the roots of the equation, $x^2-x-1=0$ and $S_n=2023 \alpha^n+2024 \beta^n$, then
- [JEE MAIN 2024]
- A
$2 \mathrm{~S}_{12}=\mathrm{S}_{11}+\mathrm{S}_{10}$
- B
$\mathrm{S}_{12}=\mathrm{S}_{11}+\mathrm{S}_{10}$
- C
$2 \mathrm{~S}_{11}=\mathrm{S}_{12}+\mathrm{S}_{10}$
- D
$\mathrm{S}_{11}=\mathrm{S}_{10}+\mathrm{S}_{12}$
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