Question

for what values of x, the terms 4/3,x,4/27 are in GP​

Answer 1

Answer:

x = 4/9.

Step-by-step explanation:

Please find the attached image.

Answer 2

Answer:

The value of $x=\frac{4}{9}$

Step-by-step explanation:

Given : $\frac{4}{3},x, \frac{4}{27}$ are in G.P.

To find : The value of x?

Solution :

We know that if three terms are in GP then there ratio are equal

i.e. $\frac{a_2}{a_1}= \frac{a_3}{a_2}$

Substitute, $a_1=\frac{4}{3},a_2=x, a_3=\frac{4}{27}$

$\frac{x}{\frac{4}{3}}= \frac{\frac{4}{27}}{x}$

Cross multiply,

$x^2=\frac{4}{27}\times\frac{4}{3}$

$x^2=\frac{16}{81}$

Taking root both side,

$x=\sqrt{\frac{16}{81}}$

$x=\frac{4}{9}$

Therefore, The value of $x=\frac{4}{9}$