Question

If 3,×,6.75 are in G.P. then × is​

Answer 1

General form of a GP is a, ar, ar2

Here a=3, ar=x and ar2=6.75

As we know that ar/a = ar2/ar

So, x/3=6.75/x

or,

${x}^{2} = 20.25$

or,

$x = 4.5$

Answer 2

The value of x is 4.5.

Step-by-step explanation:

If a,b,c are in GP, then

$b^2=ac$

It is given that 3,x,6.75 are in G.P, then

$x^2=3\times 6.75$

$x^2=20.25$

Taking square root on both sides.

$x=\sqrt{20.25}$

$x=4.5$

Therefore, the value of x is 4.5.

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