JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

1 Easy

1 of 1

Application +4 | -1

\alpha

and

\beta

are the roots of the equation

{x^2} - ax + b = 0

and

{A_n} = {\alpha ^n} + {\beta ^n},

then which one of the following is true?

View answer and explanation

Correct option: C

{A_{n + 1}} = a\;{A_n} - b\;{A_{n - 1}}

Option C (

{A_{n + 1}} = a\;{A_n} - b\;{A_{n - 1}}

) is correct because it represents the recurrence relation derived from the roots of the quadratic equation.

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