If $\alpha ,\beta $are the roots of ${x^2} - ax + b = 0$ and if ${\alpha ^n} + {\beta ^n} = {V_n}$, then

  • 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

    ${V_{n + 1}} = a{V_{n - 1}} - b{V_n}$

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