Question

What is the common ratio for the geometric sequence?

−15,−9,−27/5,−81/25,.

Answer 1

Have you considered dividing successive terms?

Answer 2

I'm not sure how to do that

Answer 3

You are not sure how to divide? I doubt that.

\(\dfrac{-9}{-15} = \dfrac{9}{15} = \dfrac{3}{5}\)

Okay, try the next pair.

Answer 4

Oh, so I divide the numbers?

Answer 5

It seems that the geometric term for the two fractions are 5 and 3

Answer 6

Idk what to do after that

Answer 7

You need a common ration.

Start with the first number.

Apply the ratio to get the second number.

Apply the ratio again to get the third number.

and etc...

Answer 8

Well I would how to do it from 15 to 9, but I'm not sure about the fractions

Answer 9

\(15\cdot\dfrac{3}{5} = 9\)

Answer 10

Wait, how did you get to 9?

Answer 11

You WILL be required to simplify fractions on your exam.

If all else fails, just do it on your calculator.

\(15\cdot\dfrac{3}{5} = \dfrac{15}{5}\cdot 3 = 3\cdot 3 = 9\)

Answer 12

So the common ratio is 9?

Answer 13

I mean 3?

Answer 14

?? Where did the 5 go?