Question

If a, b, c are in G.P., then
=
a/b=
​

Answer 1

Answer:\frac{a}{b}=\frac{b}{c}

Step-by-step explanation

Given: Three no. a , b  & c.

           Given nos. are in GP

To find:  

We use the result of Geometric Progression which states that If x , y & z are in GP then y² = xz .

⇒ b² = ac

b . b = a . c

transpose c to LHS

transpose b to RH

∴

\frac{a}{b}=\frac{b}{c}

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Answer 2

We use the result of geometric progression which states that if x, y and z are in GP then y square = xz


B square = ac


b.b =a.c