# The first term of geometric sequence is 8, and the second term is 4. How do you find the fifth term?

Mar 5, 2018

$\frac{1}{2}$

#### Explanation:

a GPis of the form

$a , a r , a {r}^{2} , a {r}^{3} , \ldots , a {r}^{n - 1} \ldots \ldots .$

we are given

$a = 8$

$a r = 4$

we have to find the fifth term

$r = \frac{a r}{a} = \frac{4}{8} = \frac{1}{2}$

fifth term

$a {r}^{4} = 8 \times {\left(\frac{1}{2}\right)}^{4} = 8 \times \frac{1}{16} = \frac{1}{2}$