Question

if third term of GP is 4.fnd the product of its first five terms.

Answer 1

$$\begin{gathered} Letabethefirsttermandrbethecommonratio. \\ now,a_3=4 \\ \Rightarrow a{r}^2=4 \\ now, \\ {a}_1{a}_2{a}_3{a}_4{a}_5=a.ar.a{r}^2.a{r}^3.a{r}^4=a^5{r}^{10}={\left(a{r}^2\right)}^5=4^5=1024 \end{gathered}$$