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Mathematics
Mathematics
Problem
Exactly one geometric mean
G
G
G
is inserted between two positive numbers
a
a
a
and
b
b
b
. Which relation must
G
G
G
satisfy? a)
G
=
a
+
b
2
G=\dfrac{a+b}{2}
G
=
2
a
+
b
b)
G
2
=
a
b
G^{2}=ab
G
2
=
ab
c)
G
=
a
b
G=ab
G
=
ab
d)
G
=
a
+
b
2
G=\sqrt{\dfrac{a+b}{2}}
G
=
2
a
+
b
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