Question

If a b c are in gp then a/b is

Answer 1

If a, b, c are in gp then,
${b}^{2} = ac$
Now by interchanging the above equation we get,
$\frac{a}{b} = \frac{b}{c}$

Answer 2

Answer:

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

Step-by-step explanation:

Given: Three no. a , b  & c.

            Given nos. are in GP

To find:  $\frac{a}{b}$

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

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

transpose b to RHS

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

Therefore, $\frac{a}{b}=\frac{b}{c}$