If and are the roots of the quadratic equation then the value of is :

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

\alpha

and

\beta

are the roots of the quadratic equation

4x^2 + 2x - 1 = 0

then the value of

\sum_{r=1}^{\infty} (\alpha^r + \beta^r)

is : (a) 2 (b) 3 (c) 6 (d) 0