All categories

3 years ago

Gustavo and yuki were asked to find an explicit formula for the sequence 19, 0, -19, -38...

Mathematics

1 answer:

KiRa [710]3 years ago

4 0

Answer:

<h2>Neither Gustavo nor Yuki</h2>

Step-by-step explanation:

It's an arithmetic sequence.

$0-19=-19\\-19-0=-19\\-38-(-19)=-38+19=-19$

The difference is constant.

The explicit formula of an arithmetic sequence:

$a_n=a_1+(n-1)d$

Substitute:

$a_1=19,\ d=-19$

$a_n=19+(n-1)(-19)$ <em>use distributive property</em>

$a_n=19-19n+19\\\\a_n=(19+19)-19n\\\\a_n=38-19n$

You might be interested in

Michael has 2 hats, 3 shirts, and 8 pants. How many different ways can he wear the outfits if he wears one of each?

Rzqust [24]

Answer:

Step-by-step explanation:

5 0

3 years ago

The radius of the Ferris wheel is shown. Which is the circumference of the Ferris

yulyashka [42]

The answer is c=250 feet because the circumference is twice the radio us I’m pretty sure.

4 0

3 years ago

Read 2 more answers

How do I solve this?

ohaa [14]

Answer:

Step-by-step explanation:

$x=e^{2t}-1\\y=e^t\\squaring\\\\y^{2}=e^{2t}\\Hence ~x=y^{2}-1$

5 0

3 years ago

Find the approximate perimeter of ABC plotted below.

maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

$AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}$

$AB = \sqrt{4 + 4}$

$AB = \sqrt{16}$

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

$BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}$

$BC = \sqrt{25 + 49}$

$BC = \sqrt{74}$

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

$AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}$

$AC = \sqrt{47 + 25}$

$AC = \sqrt{74}$

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0

3 years ago

Find the equivalent to x^7

MrMuchimi

1/x^-7

It would look more like 1
------
-7 (as an exponent)
x

3 0

3 years ago