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

Feb 5, 2016

8

#### Explanation:

The terms in a geometric sequence are

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

the nth term = $a {r}^{n - 1}$

here a = 4096 and r = 0.5

for n = 10 then $4096 \times {\left(0.5\right)}^{9} = 8$