Mathematics · 2020
JEE Main · 2 September 2020, Shift 1 · Q52
Let α and β be the roots of the equation, 5 x^2+6 x-2=0. If S_n =α^n +β^n, n =1,2,3, …, then:
Let $\displaystyle \alpha$ and $\displaystyle \beta$ be the roots of the equation, $\displaystyle 5 x^2+6 x-2=0$. If $\displaystyle \mathrm{S}_{\mathrm{n}}=\alpha^{\mathrm{n}}+\beta^{\mathrm{n}}, \mathrm{n}=1,2,3, \ldots$, then :
Official answer
(2)
$\displaystyle 5 S_6+6 S_5=2 S_4$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.