Which of the following represents the general equation for the geometric sequence? -1, -2, -4, an = 1 · 2n - 1 an = -2n - 1 an = 2n - 1 an = 1 · 2n + 1

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Step-by-step explanation:

Given : geometric sequence  -1, -2, -4, ...

To find : Which of the following represents the general equation for the geometric sequence.

Solution : We have given

Geometric sequence  -1, -2, -4, ...

By the formula for general equation : .

Where,   = last term.

=  first term.

r = common ratio.

r ( common ratio ) = .

In  -1, -2, -4, ...

= -1.

r ( common ratio ) = .

r ( common ratio ) =2.

Plug the values in formula

.

.

Therefore,  .

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)