Question

given the following geometric sequence, find the common ratio: {225, 45, 9...}

Answer 1

Common ratio is 5 or -5 to be more precise. 225 divides by 45=5 and 45 divided by 9=5. So the common ratio is 5.

Answer 2

First term of sequence, a1 = 225

next term, a2 = 45

$common \: ratio = \frac{a2}{a1} \\ \\ r = \frac{45}{225} \\ \\ r = \frac{1}{5}$

common ratio is 1/5.