# How do you find a20 for the sequence {2, 2.4, 2.88, 3.456....}?

Oct 9, 2015

This is a geometric sequence with a common factor r = 1.2

#### Explanation:

The common ratio can be found by dividing:

$r = \frac{2.4}{2} = 1.2$

Now, to find the 20th term:

${a}_{20} = \left(2\right) {\left(1.2\right)}^{20 - 1} \approx 63.896$

hope that helped