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Let \(\alpha\) and \(\beta\) be the roots of the equation, \(5 x^2+6 x-2=0\). If \(S_n=\alpha^n+\beta^n, n=1,2,3\) , the…

Q1

Let \(\alpha\) and \(\beta\) be the roots of the equation, \(5 x^2+6 x-2=0\). If \(S_n=\alpha^n+\beta^n, n=1,2,3\) , then

[JEE Main 2020, 2 Sep (Shift 1)]

a

\(6 S_6+5 S_5=2 S_4\)

b

\(6 S_6+5 S_5+2 S_4=0\)

c

\(5 S_6+6 S_5=2 S_4\)

d

\(6 S_6+6 S_5+2 S_4=0\)

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