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

Question

helpz-q · Answer

@glitter can you help him/her

zepdrix · Answer

Hey Anna,
$\large\rm \color{royalblue}{\text{Welcome to OpenStudy! :)}}$

zepdrix · Answer

We have a geometric sequence, which means,
we're multiplying by something to get from one term to the next.

We call this "something" our common ratio.

zepdrix · Answer

Let's call this common ratio ... a or something.
So to get from 45 to 9, we had to multiply 45 by this common ratio.
$\large\rm 45a=9$

Dividing by 45 gives us our common ratio, $\large\rm a=\frac{9}{45}$

Simplify from there.

annaspencer2019 · Answer

Thank you!