Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20 10. 5

Answers

Answer 1

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.


Related Questions

01:4
What is the median of this set of data?
1, 2, 5, 6, 9
0
1
5
8
9

Answers

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

Answer:

3.5 if the 901589 a whole number but 5 if it is supposed to be seperated

Step-by-step explanation:

plzzzzzzzzzzzzz help meeeeeeeee

Answers

Answer:

D. 1,000

Step-by-step explanation:

D. is the answer to your question
hope this helps!

If sine > 0 and tane < 0 then:

Answers

Answer:

its A

Step-by-step explanation:

Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.

Answers

Answer:

Step-by-step explanation:

x-intercept:  Set y = 0 and solve for x:

 0 = mx + b, or mx = -b, or x = -b/m.  x-intercept is then (-b/m, 0)

y-intercept:  Set x = 0 and solve for y:  y = m(0) + b, or y = b.  y-intercept is then

 (0, b).

At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.

Answers

Answer: 6% decrease

Step-by-step explanation:

Answer:

6% decrease

Step-by-step explanation:

Given that,

Initial number of students = 1200

At the end of the year there were 1128 students

We need to find the  percent of  change in enrollment.

Change in enrollment = 1200 - 1128 = 72

The percentage of change is :

[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]

So, there is a decrease of 6% in number of students.

If a rectangle is 30 feet long and the perimeter is 78 feet. What would be the width of the rectangle?

Answers

Answer:

The width should be 9 feet in this situation

Step-by-step explanation:

(30 x 2) + (9 x 2) =

60 + 18 =

78 ft

Or

78 - (30 X 2) =

78 - 60 =

18 / 2 =

9

Which of the following expressions represents the product below?
(4 i+ 3)(5 - 2i)
7 + 14i
15 +6i
-7 +26i
23 + 14i

Answers

Answer:

[tex](4 i+ 3)(5 - 2i)[/tex]

[tex]= - {8i}^{2} + 20i + 15 - 6i[/tex]

[tex]= - {8i}^{2} + 14i + 15 [/tex]

NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem

Answers

Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)

Step-by-step explanation:

PLEASE HELP FOR FINALS!!!!!!


Let sd be the speed (in meters per second) of an object after t seconds of motion.
Explain the meaning of each statement.
3. s (0) = 9
b. s(9) =k
c. s(10) > (20)

Answers

Answer:

If I say to you that we are travelling along at a "constant" speed of 25 m/s... a. ... So every seem 28 mis covend. b. What does the "m/s" after the number 25 mean? ... The object's motion will change - au acceleration will occur. 9. A car is moving ... c. What do you think a graph of velocity versus time would look like? Sketch it.

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.

Answers

Answer:

I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer

Pply the converse of the pythagorean theorem to determine if it's a right triangle. Is the triangle a right triangle? No, 92+402=412. No, 9 squared + 40 squared not-equals 41 squared Yes, 92+402=412. Yes, 9 squared + 40 squared not-equals 41 squared

Answers

Answer:

Yes, 9^2+40^2=41^2

Step-by-step explanation:

From the Pythagoras’ theorem, the square of the hypotenuse of a right triangle equals the sum of the squares of the two other sides

From what we have , the side lengths are 9, 40 and 41

As we can see, 41 is the longest side length and that makes it the hypotenuse

The square of the two other sides is 40^2 + 9^2 = 1,681

Also, 41^2 = 1,681

As we can see, the sum of the squares equal the square of the hypotenuse

Since this follows the theorem, we can conclude that the triangle is a right triangle

Answer:

C, Yes, 92+402=412.

Step-by-step explanation:

A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?

Answers

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

A rectangle measures 15 2 inches by 4 3 inches. What is its area?

Answers

Answer:

65.36

Step-by-step explanation:

15.2 x 4.3 = 65.36

I need help with question number 4

Answers

Answer: x = -3

Step-by-step explanation:

How many 1/4 pound packages of cheese can the deli make with 12 pounds of cheese

Answers

Answer:

48 1/4 packages

Step-by-step explanation:

hii! please help asap. i’ll give brainliest

Answers

Answer:

4

Step-by-step explanation:

The numbers you have are 2, 2, 3, 4, 8, 8, 8

First, cross out 2 on the very left and 8 on the very right.

Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.

If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!

Find h.
10 in.
h = [?] in.
5.
4 in.
PLEASE ILL DO ANYTHING

Answers

By using Pythagorus
10 * 2 - 2 * 2= height*2
100- 4 = height *2
96= height *2
Under-root 96 = height

Answer:[tex]h=\sqrt{96}in.[/tex]

Step-by-step explanation:

.

PLEASE HELP...


Find the area of the composite shape. Show your work for BRAINLIST and if it’s correct

Answers

10.38

i multiplied each number and the answers that i got i added them to get the area

joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions?

314 feet

628 feet

1256 feet

6280 feet

Answers

Given:

The diameter of the wheel is 2 feet.

Number of revolution = 100

To find:

The total distance covered by the bicycle.

Solution:

The circumference of a circle is:

[tex]C=2\pi r[/tex]

Where, r is the radius of the circle.

The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.

Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get

[tex]C=2(3.14)(1)[/tex]

[tex]C=6.28[/tex]

It means the distance covered by the wheel in one revolution is 6.28 feet.

Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:

[tex]6.28\times 100=628[/tex]

The total distance covered by the bicycle in 100 revolution is 628 feet.

Therefore, the correct option is B.

which number is irrational?
A) square root 12
B) square root 36
C) square foot 64
D) square root 144

Answers

The answer would be: A) square root of 12

the square root of 12 is about 3.4641, irrational numbers most often have decimal points

What triangles can you make out of a rhombus

Answers

Answer:

Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.

Hope it helps ya mate! please give me brainliest!.ت︎ ت︎

A rectangular prism and its net are shown below.
(All lengths are in yards.)

Answers

Answer:

C=2 D=2

SA=

Step-by-step explanation:

Surface Area (SA)= 2(wl+hl+hw)

2(2×5+9×5+9×2)

=146 yards

Mark makes $60 for every six hour shift he works. How much will he make if he works an eight hour shift

Answers

Answer:

Mark will make $80 if he works an eight-hour shift.

Step-by-step explanation:

For every six hour shift he works, Mark makes $60

This implies that for every hour, he makes $10 ($60/6)

Therefore, for working an eight-hour shift, Mark will make $80 ($10 * 8) or ($60/6 * 8).

We can conclude that Mark's employer pays him $10 per hour.

This hourly rate can be used to work out how much Mark will earn if he works for a month or a year, as the case may be.

solve the system of equations y=8x+5 y=6x+25​

Answers

Answer:

(10,85)

Step-by-step explanation:

x=10

y=85

find the loss if cp= Rs550 sp= Rs494​

Answers

Answer:

loss =Rs 56

Step-by-step explanation:

loss =cp-sp

550-49456

stay safe healthy and happy.

A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?

Answers

Answer:

60 feet from the center.

Step-by-step explanation:

As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:

c² = a² - b²   (1)

Where:

c: Length from center to foci.

a: length of half the hall.

b: length of the ceiling.

Replacing the given data into (1) we have:

c² = (130/2)² - (25)²

c = √65² - 500

c = √3600

c = 60 feet

Hope this helps

What is the surface area and volume of this triangular prism?

Answers

Volume is 561 surface area is 473.45

Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2

Answers

Answer:

Area of a circle = πr^2 if pi here = 3

then (3 × 81) in^2 = 243 in^2

Hope it helps

Answer:

The area of circle is 254.34 in².

Step-by-step explanation:

Given :

[tex]\small\purple\bull[/tex] Diameter of circle = 18 in

To Find :

[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circle

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]

[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter

[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]

[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radius

Solution :

Here we have given that diameter of circle is 18 in. So, finding the radius of circle :

[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]

[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]

[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]

[tex]\implies{\sf{Radius = 9 \: in}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]

Hence, the radius of circle is 9 in.

[tex]\rule{200}2[/tex]

Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :

[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]

[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]

[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]

Hence, the area of circle is 254.34 in².

[tex]\rule{300}{1.5}[/tex]

PLEASE HELP I NEED THIS ASAP

Answers

(A)

Step-by-step explanation:

Multiply both sides by (x + 3)(x - 3)

4(x + 3) + 2 = (x- 3)

4x + 12 + 2 = x - 3

3x = - 17

or

x = -17/3

Find the surface area of the prism.

A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.

Answers

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

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