# The first term of a geometric sequence is 4096, and the common ratio is 0.5. What is the 10th term of the sequence?

##### 1 Answer

Feb 5, 2016

8

#### Explanation:

The terms in a geometric sequence are

# a , ar , ar^2 , ar^3 ,........ # the nth term =

# ar^(n-1)# here a = 4096 and r = 0.5

for n = 10 then

# 4096 xx (0.5)^9 = 8#