find the g.m between 8 and 32
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What is the meaning of g. m
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mean=8+32/2=20
.....hope it helps
L=a*r^(n-1)
L=32
a=8
n=3
32=8*r^(3-1)
32=8*r^2
r^2=32/8
r^2=4
r=sqrt4
r=+-2 ans.
Proof:
8,[16],32
8,[-16],32
Let, three numbers a, G and b are in Geometric Progression then, the middle number G is called the geometric mean between two numbers a and b.
⇔ a, G, b are in Geometric Progression
⇔ GaGa = bGbG = common ratio.
⇔ G22 = ab
⇔ G = ±√ab
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