All categories

2 years ago

Which is the equation for the nth term of the geometric sequence: -4,8,-16...?

Mathematics

1 answer:

kobusy [5.1K]2 years ago

6 0

Answer:

aₙ=(-2)ⁿ*2.

Step-by-step explanation:

1) -4*(-2)=8; 8*(-2)=-16; -16*(-2)=32, ...

2) the required equation is:

aₙ=(-1)ⁿ*2ⁿ*2; ⇒ aₙ=(-2)ⁿ*2 or aₙ=(-1)ⁿ*2ⁿ⁺¹.

You might be interested in

Which graph shows a line with a slope 3/2?

olchik [2.2K]

Answer:

C I think, im not sure but sorry if im wrong

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

I need some help:

dedylja [7]

The unit rate is another way of saying speed, so we divide the distance over the time. We can pick on any row

If we pick row 1, then, speed = distance/time = 90/2 = 45

Row 2 says the same thing: 135/3 = 45

So does row 3: 225/5 = 45

and so on

Because the speed is 45 mph, the unit rate is 45 miles in one hour. The term "unit" implies how much distance can be covered in one unit of time, in this case 1 hour.

You have the correct answer. Nice work.

6 0

2 years ago

Rina draws a plan of her school on a coordinate grid. She plots the school gate at point p(-8,-1) and the library at point Q(2,5

natka813 [3]

Answer:

The coordinates of the science lab is:

x = -14/3 , y = 1

Step-by-step explanation:

∵ P is (-8 , -1) and Q is (2 , 5)

∵ The point of the science lab is (x , y)

∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)

∴ $x=\frac{m_{1}x_{p}+m_{2}x_{q}}{m_{1}+m_{2}}$

∴ $y=\frac{m_{1}y_{p}+m_{2}y_{q}}{m_{1}+m_{2}}$

∴ $x=\frac{2(-8)+1(2)}{1+2}=\frac{-14}{3}$

∴ $y=\frac{2(-1)+1(5)}{2+1}=\frac{3}{3}=1$

∴ The point of science lab = (-14/3 , 1)

5 0

2 years ago

A university's freshman class has 5000 students. 50% of those students are majoring in Computer Science. How many students in th

Mazyrski [523]

2500 students are computer science majors

4 0

3 years ago

Find the midpoint of the segment with the following endpoints.<br> (8,4) and (2,7)

Fudgin [204]

Answer:

Step-by-step explanation:

Use the midpoint formula: $\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}$

So, the Change In X is 2-8 = -6

And the Change in Y is 7-4 = 3

Once you divide both of the changes by 2, you get

X: -3

Y: $\frac{3}{2}$

So the midpoint is: $(-3,\frac{3}{2})$

4 0

3 years ago