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

##### 1 Answer

Jan 25, 2016

#### Answer:

10

#### Explanation:

The nth term of a geometric sequence is found using

# u_n = ar^(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 (0.5)^4 = 10#