Mathematics · 2024
JEE Main · 27 January 2024, Shift 2 · Q3
If α, β are the roots of the equation, x^2-x-1=0 and S_n =2023 α^n +2024 β^n, then:
If $\displaystyle \alpha, \beta$ are the roots of the equation, $\displaystyle x^2-x-1=0$ and $\displaystyle \mathrm{S}_{\mathrm{n}}=2023 \alpha^{\mathrm{n}}+2024 \beta^{\mathrm{n}}$, then :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \mathrm{S}_{12}=\mathrm{S}_{11}+\mathrm{S}_{10}$
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JEE Main 2024 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.