Question

If $x,y$ and $z$ are three consecutive terms of a G.P such that $xyz=8,$ then $y$ equals ____.

• A. 8
• B. 7
• C. 2
• D. 32

Answer 1

The correct option is C 2

Given that the three consecutive terms of the GP are $x,y$ and $z.$
Let $x=\frac{a}{r},y=a$ and $z=ar.$
$xyz=8\Rightarrow \frac{a}{r}\times a\times ar=8.$
$\Rightarrow a^3=8$
$\Rightarrow a=2$
$\therefore y=a=2.$