Question

Find x if 6, x + 2, 54 are in G.P.

Answer 1

Let $a=6$, $G=x+2$, $b=54$
$G=\sqrt{a\times b}$
$x+2=\sqrt{6\times 54}=\sqrt{324}=18$
$x+2=18$
$x=18-2=16$
$x=16$