If \[\alpha ,\beta \]are the roots of \[{{x}^{2}}-ax+b=0\] and if \[{{ – McqOptions

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1.	If \[\alpha ,\beta \]are the roots of \[{{x}^{2}}-ax+b=0\] and if \[{{\alpha }^{n}}+{{\beta }^{n}}={{V}_{n}}\], then [RPET 1995; Karnataka CET 2000; Pb. CET 2002]
A.	\[{{V}_{n+1}}=a{{V}_{n}}+b{{V}_{n-1}}\]
B.	\[{{V}_{n+1}}=a{{V}_{n}}+a{{V}_{n-1}}\]
C.	\[{{V}_{n+1}}=a{{V}_{n}}-b{{V}_{n-1}}\]
D.	\[{{V}_{n+1}}=a{{V}_{n-1}}-b{{V}_{n}}\]
Answer» D. \[{{V}_{n+1}}=a{{V}_{n-1}}-b{{V}_{n}}\]

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