# What is meant by a geometric sequence?

Jul 3, 2018

${a}_{n} = {a}_{0} {q}^{n - 1}$

#### Explanation:

${a}_{0}$
${a}_{0} q$
${a}_{0} {q}^{2}$
${a}_{0} {q}^{3}$
${a}_{0} {q}^{4}$
$\vdots$

When you divide two adjacent numbers, the result is always

$q = {a}_{n + 1} / {a}_{n}$