Question

For what value of $x$, the numbers $\frac{2}{7},x,\frac{7}{2}$ are in $G.P.$ ??

Answer 1

We have,

$\frac{2}{7},x,\frac{7}{2}$ are in G.P

We know that if

$a,b,c$ are in G.P, then

$b^2=ac$

Therefore,

$x^2=\frac{2}{7}\times \frac{7}{2}$

$x^2=1$

$x=1$

Hence, this is the answer.