Which one of the following relations must hold for three non-zero numbers taken in…

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Which one of the following relations must hold for three non-zero numbers

x,\,y,\,z

taken in this order to be consecutive terms of a geometric progression? (a)

x + z = 2y

(b)

y^{2} = xz

(c)

xy = z^{2}

(d)

x^{2} = yz