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Mathematics
Problem
Which one of the following relations must hold for three non-zero numbers
x
,
y
,
z
x,\,y,\,z
x
,
y
,
z
taken in this order to be consecutive terms of a geometric progression? a)
x
+
z
=
2
y
x + z = 2y
x
+
z
=
2
y
b)
y
2
=
x
z
y^{2} = xz
y
2
=
x
z
c)
x
y
=
z
2
xy = z^{2}
x
y
=
z
2
d)
x
2
=
y
z
x^{2} = yz
x
2
=
y
z
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