For what value(s) of does the sequence form a geometric progression?

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

Problem

For what value(s) of

x

does the sequence

x-2,\;2x,\;5x+2

form a geometric progression? (a)

x = 0

(b)

x = 8 + 4\sqrt{5}

x = 8 - 4\sqrt{5}

(c)

x = 4 + 2\sqrt{5}

x = 4 - 2\sqrt{5}

(d)

x = -\dfrac{2}{3}