🛠️ JEE➗ Maths

If \(\alpha, \beta\) are the roots of the equation, \(x^{2}-x-1=0\) and \(S_{n}=2023 \alpha^{n}+2024 \beta^{n}\), then :

Q1

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

\(S_{12}=S_{11}+S_{10}\)

b

\(2 S_{11}=S_{12}+S_{10}\)

c

\(S_{11}=S_{10}+S_{12}\)

d

\(2 S_{12}=S_{11}+S_{10}\)

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