alpha and beta are the roots of x^2-x-1=...

`alpha` and `beta` are the roots of `x^2-x-1=0` and `S_n=2023 alpha^n + 2024 beta^n` then

A

`S_(12)=S_(11)+S_(10)`

B

`2S_(12)=S_(11)+S_(10)`

C

`S_(11)=S_(12)+S_(10)`

D

`S_(10)=S_(11)+S_(12)`

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