Question

If the third term of G.P. is $4$, then find the product of first five terms.

Answer 1

Let the G.P. is

$\Rightarrow$$a,ar,a{r}^2,a{r}^3,a{r}^4$

$\Rightarrow$Given, the third term of G.P. is $4$

$\Rightarrow$That means $a{r}^2$ $=4$

$\Rightarrow$Product of first five terms $=$ $a^5$$\times$ $r^{10}$

$=$ ${(ar}^2{)}^5$

$=$ $4^5$ $=1024$