Question

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

Answer 1

Finding the value:

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

$$\begin{gathered} b^2=ac \\ Squaringbothsides \\ {\left(b^2\right)}^2=a^2{c}^2 \\ {\left(b^2\right)}^2={\left(ac\right)}^2 \\ So{a}^2,b^2,c^{2}areinG.P \end{gathered}$$

Hence, $a^2,b^2,c^2$ are in G.P