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If `alpha,beta` are the roots of the equation,`x^(2)-x-1=0` and `S_(n)=2023 alpha^(n)+2024 beta^(n)`,then `2S_(12)=S_(11)+S_(10)`

A

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

B

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

C

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

D

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

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