Find the common ratio of the geometric sequence: -320,80,-20,5

-1/4 if you prefer the answer written as a fraction.

-0.25 is you prefer the answer written as a decimal.

Step-by-step explanation:

Common ratio of a geometric sequence can be found by doing term divided by previous term.

That is you could do:

80/-320

or

-20/80

or

5/-20

If all these ratios are not equal, it isn't a geometric sequence and does not have a common ratio.

Let's see what these reduce to:

80/-320=1/-4 =-1/4 or -0.25

-20/80=-1/4 or -0.25

5/-20=1/-4=-1/4 or -0.25

So the common ratio is -0.25 or yo you can write it as -1/4.

ad = ae + ed = y + 7

similar triangles therefor

ac/ab = ad/ae

6/4 = (y + 7) / y

cross multiply

6y = 4(y + 7)

6y = 4y + 28

2y = 28

y = 14

step-by-step explanation:

5   1/4   miles per hour

step-by-step explanation:

15   3/4 / 3 = 5   1/4