Question

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

Answer 1

@glitter can you help him/her

Answer 2

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

Answer 3

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.

Answer 4

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.

Answer 5

Thank you!