If are consecutive terms of a geometric progression with positive common ratio

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

Problem

3x-2,\;6,\;12x+4

are consecutive terms of a geometric progression with positive common ratio, then

x

equals (a)

\dfrac{2}{3}

(b)

\dfrac{3\sqrt5-1}{3}

(c)

\dfrac{1+3\sqrt5}{6}

(d)

\dfrac{1-3\sqrt5}{6}