What is the common ratio for the geometric sequence?

−15,−9,−275,−
the initial value of the boat is $11,200.

the value of the boat after t years is $11,200.

the value of the boat decreases by $11,200 each year.

the value of the boat increases by $11,200 each year.

Common ratio is

Step-by-step explanation: Given sequence −15,−9,−275,−8125,...

The general terms of a geometric sequence are:

.

In common ratio is given by dividing next term from previous term

Therefore, in order to find the common ratio for the given geometric sequence, we need to divide second term by first term or third term by second term.

Dividing second term by first term, we get

Dividing top and bottom by -3, we get

.

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4