Question

The third term of a G.P. is 4. The product of the first five terms is

• A. 64
• B. 256
• C. 1024
• D. 512

Answer 1

The correct option is C 1024

$a_3=4\Rightarrow a{r}^2=4a_1\times a_2\times a_3\times a_4\times a_5=a\times ar\times a{r}^2\times a{r}^3\times a{r}^4=a^5{r}^{10}={\left(a{r}^2\right)}^5=4^5=1024$