Question

Find the common ratio, given that it is negative, of a GP whose first term is 8 and whose fifth term is 1/2​

Answer 1

Answer:

$- \frac{ 1}{2}$

Step-by-step explanation:

$a = 8 \\ a {r}^{4} = \frac{1}{2} \\ \\ 8 {r}^{4} = \frac{1}{2} \\ \\ {r }^{4} = \frac{1}{16} \\ \\ r = - \frac{1}{2} \\ \\ common \: ratio \: is \: - \frac{1}{2}$