# Is 10, 5, 2.5, 1.25, 0.625, 0.3125 a geometric sequence?

Dec 18, 2015

Yes it is, with initial term $10$ and common ratio $0.5$

#### Explanation:

Each term of a geometric sequence is equal to the previous term multiplied by the common ratio.

In the example sequence, each term is one half of the preceding term, so it is a geometric sequence.

The general term of this sequence is given by the formula:

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

where $a = 10$ and $r = 0.5$