Fifth term of a GP is 2, then the product of its 9 terms is

Question

Accepted Answer

$a{r^4} = 2$

$$a \times ar \times a{r^2} \times a{r^3} \times a{r^4} \times a{r^5} \times a{r^6} \times a{r^7} \times a{r^8}$$

$$ = {a^9}{r^{36}} = {\left( {a{r^4}} \right)^9} = {2^9} = 512$$

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