# The first term of a geometric sequence is 160, and the common ratio is 0.5. What is the 5th term of the sequence?

Jan 25, 2016

10

#### Explanation:

The nth term of a geometric sequence is found using

${u}_{n} = a {r}^{n - 1}$

where a is the first term , r , the common ratio and n the nth term.

here a = 160 , r = 0.5 and n = 5

hence : ${u}_{5} = 160 {\left(0.5\right)}^{4} = 10$