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.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval