Exactly one geometric mean is inserted between two positive numbers and

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

Problem

Exactly one geometric mean

G

is inserted between two positive numbers

a

and

b

. Which relation must

G

satisfy? (a)

G=\dfrac{a+b}{2}

(b)

G^{2}=ab

(c)

G=ab

(d)

G=\sqrt{\dfrac{a+b}{2}}