If α and β are the roots of x² - x - 1 = 0, and Sₙ = 2023αⁿ + 202… | JEE Main 2024 Mathematics PYQ | Jeeify

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MCQEasyJEE Main 2024 · 27 January, Shift 2Sum of Series

If $\alpha$ and $\beta$ are the roots of $x^2 - x - 1 = 0$ , and $S_n = 2023\alpha^n + 2024\beta^n$ , then:

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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