JEE Math Practice Question
If $$\alpha, \beta$$ are the roots of the equation, $$x^2-x-1=0$$ and $$S_n=2023 \alpha^n+2024 \beta^n$$, then :
- A.$$2 S_{12}=S_{11}+S_{10}$$
- B.$$S_{12}=S_{11}+S_{10}$$
- C.$$S_{11}=S_{10}+S_{12}$$
- D.$$2 S_{11}=S_{12}+S_{10}$$
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