How do you do a geometric progression?

Question

Say that the numbers are 1/4, 1/16, 1/64...and so on.

How do you show that those numbers are in geometric progression.

Also, what is their common ratio?

I would appreciate any help! Choosing best answer as always!

Thank You!

Answer 1

say your numbers are a, b, c, d, e, etc

to find the common ratio you take a/b, b/c, c/d, d/e etc.  if they are all the same its a geometric progression with that value as teh common ratio.

Answer 2

You can tell that these numbers are in a geometric progression because their common ratio is the same. The common ratio is the number that you multiply the next term by to get the next term. In this case it is 1/4.