Question

Fifth term of an G.P. is 2, then the product of its 9 terms is

• A. 256
• B. 512
• C. 1024
• D. none of these

Answer 1

Answer: (B)

$a{r}^4=2$ ...(i) $a\times ar\times a{r}^{2}a{r}^3\times a{r}^4\times a{r}^5\times a{r}^6\times a{r}^7\times a{r}^8$ $=a^9{r}^{36}={(a{r}^4)}^9=2^9=512$