All categories

3 years ago

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio.

Mathematics

1 answer:

melamori03 [73]3 years ago

8 0

Answer:

The sequence is arithmetic with a common difference of -10

Step-by-step explanation:

From the question, we want to determine if the sequence is arithmetic or geometric

From the question

f(1) = 5

f(2) = -5

f(3) = -15

Mathematically for the common difference;

f(3) - f(2) = f(2) - f(1)

Since;

-15-(-5) = -5-5

-10 = -10

Since the common difference here is same , then the sequence is arithmetic with a common difference of -10

You might be interested in

I need help I am confused

Elodia [21]

633.15 is the answer

8 0

3 years ago

Read 2 more answers

I NEED HELP ASAP PLEASE

Maurinko [17]

Answer:

Step-by-step explanation:

Figure out what each fraction is equivilent their decimal. Then you plot it based on the decimal

2 2/3 is 2.6 so plot it past the 2 and through 6 points

1 4/9 is 1.4 so plot it past the one and four points

3 0

4 years ago

Can someone explain this?

Anika [276]

Answer:

144 degrees

Step-by-step explanation:

Linear pair angle must add up to 180 degrees. We don't know what the angle is, so the call the unknown angle Ѳ.

We know that the bigger angle is 4 times as big as the unknown angle, so it's equal to 4Ѳ.

Add up the two unknown angle: Ѳ+4Ѳ=180 , because we know they must add up to 180 since they are linear pair as defined above.

Solve for Ѳ.

Plug the solved value of Ѳ back into 4Ѳ to find out how big 4Ѳ is.

8 0

4 years ago

What is the length of the mid segment of this trapezoid ; a(-2,4) b(4,3) c(4,-5) d(-2,-2)

Elina [12.6K]

Answer:

$7\ units$

Step-by-step explanation:

we have

a(-2,4), b(4,3), c(4,-5), d(-2,-2)

step 1

Plot the vertices to better understand the problem

using a graphing tool

The graph in the attached figure

step 2

Find the mid-segment parallel to ad and bc

Note : The mid-segment is parallel to the parallel bases of trapezoid

Let

e ---> midpoint segment ab

f ---> midpoint segment cd

The formula to calculate the midpoint between two points is equal to

$(\frac{x1+x2}{2},\frac{y1+y2}{2})$

Find the midpoint e

we have

a(-2,4) and b(4,3)

substitute the given values

$e\ (\frac{-2+4}{2},\frac{4+3}{2})$

$e\ (1,3.5)$

Find the midpoint f

we have

c(4,-5), d(-2,-2)

substitute the given values

$f\ (\frac{4-2}{2},\frac{-5-2}{2})$

$f\ (1,-3.5)$

step 3

Find the length of the mid-segment ef

we have

$e\ (1,3.5)$

$f\ (1,-3.5)$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute

$d_e_f=\sqrt{(-3.5-3.5)^{2}+(1-1)^{2}}$

$d_e_f=\sqrt{(-7)^{2}+(0)^{2}}$

$d_e_f=\sqrt{49}\ units$

$d_e_f=7\ units$

8 0

4 years ago

I NEED SERIOUS HELP!!! Find the volume of the rectangular prism The volume is __cm. Cubed

GuDViN [60]

Answer: 88cm^2

Step-by-step explanation:

To find the answer of a rectangular prism, use this formula:

$A=2(wl+hl+hw)$

For your prism, h = 4, l = 6, and w = 2.

$A = 2(2*6+4*6+4*2)$

$A=2(12+24+8)$

Area is equal to 88 cm squared.

7 0

3 years ago