6. Determine if the sequence is arithmetic or
geometric, and the common ratio or
difference.
-4,-2.5, -1, 0.5, 2,......
A. Arithmetic; d = 1.5
B. Arithmetic; d = 2
C. Geometric; r = 0.5
D. Geometric; r = 2

Answers

Answer 1

Answer:

A. Arithmetic; d = 1.5

Step-by-step explanation:

-4, -2.5, -1, 0.5, 2

Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.

Let's look at common ratios first.

To find the common ratio, divide one term from the term after it.

r = a₂ ÷ a₁

r = -2.5 / -4

Divide.

r = 0.625

To see if this is the common ratio, we want to test this with the other numbers of the sequence.

r = a₃ ÷ a₂

r = -1 / -2.5

r = 0.4

This is not consistent; therefore our sequence is not geometric.

Let's look at common differences next.

To find the common ratio, subtract one term from the term after it.

r = a₂ - a₁

r = -2.5 - (-4)

Simplify.

r = -2.5 + 4

Add.

r = 1.5

To see if this is the common difference, we want to test this with the other numbers of the sequence.

r = a₃ - a₂

r = -1 - (-2.5)

Simplify.

r = -1 + 2.5

r = 1.5

This is consistent; therefore we have found our common difference of this arithmetic sequence.

A. Arithmetic; d = 1.5

Hope this helps!


Related Questions

What is the y-intercept of line x = -8?

Answers

Answer:

There is no y-intercept.

Step-by-step explanation:

x = -8 has an undefined slope which means that it will never have a y-intercept unless it is x = 0.

simplify 2(5+3x)+(x+10)

Answers

20+7x

just use the distributive property on 2(5+3x) then add x and 10

7x+20 basically distribute both(for the one without its 1) then multiply them both

mark brainliest

The radius of a quarter circle is 3 millimeters. What is the quarter circle's area?
r=3 mm

Answers

Answer:

28.3mm

Step-by-step explanation:

3(3)=9(pi)= 28.274...

Answer: 9[tex]\pi[/tex], or more specifically, 28.26, or even more specifically, 28.2643.

Explanation:

To find the area of a circle, you need to do r squared x pi. Since pi repeats randomly infinitely, we are going to simplify it to 3.14. 3 squared or 3 x 3 equals 9. 9 x 3.14 = 28.26. Therefore, the area of the quarter is 28.26. If you want to find the answer without simplifying pi, it is approximately 28.2643. You can also write it as 9[tex]\pi[/tex].

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

Which diagonal (IE or KT) is the line of symmetry for kite KITE below? Explain.

Answers

Answer:

Step-by-step explanation:

KT because triangles KIT and KET are  congruent ( mirror images).

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Answers

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Answers

Answer:

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Step-by-step explanation:

...........................

5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
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Ct = 120 - 10
D t = 10c + 12

Answers

Answer:

10c + 12

Step-by-step explanation:

I believe that is the answer please let me know if I am wrong

if The quotient of three times a number and 4 is no more than 13.

Answers

Answer:

3x + 4 ≤ 13

Step-by-step explanation:

What is the factored expression

Answers

Answer:

i think its A.

Step-by-step explanation:

the answer is (9x+4)^2

Brian invests £1800 into his bank account.
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How much will Brian have after 6 years?

Answers

Answer:

≈£2412

Step-by-step explanation:

1800(0.05)^6

≈£2412

What restrictions are there on the range of the function H(w) below?
H(w)
(5.0,20.00)
A. H(w) s 1
B. H(w) > 0
C. H(w) < 0
D. There are no restrictions on the range of H(w).

Answers

Answer:

There are no restrictions on the range of H(w).

The restrictions that are there on the range of the function H(w) is:

Option B: H(w) > 0

How to Identify the Function restrictions?

The function, named H(w) is defined by a graph that is a descendant line, that belongs only to the first quadrant.

As w approaches to 0 by the right, the function approaches to + infinity. It never touches the vetical axis, decreases and approaches to 0 when w approaches to infinity. The graph never touches the horizontal - axis.

Then, the function is defined only for positive values of w and H(w) is always positive.

Then, the answer is H(w) > 0, this is the option B

Read more about https://brainly.com/question/1415456 at:

#SPJ2

Find the area of the shaded region. Round your answer to the nearest tenth.

Answers

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Step-by-step explanation:

Thomas earned $38.25 for cleaning the garage. Hewas paid $4.25 per hour. How many hours did it take him to clean the garage? a. 7 hours b. 8 hours c. 9 hours d. 10 hours.

Answers

Step-by-step explanation:

$38.25/$4.25 ×1hr

9hrs

Write a quadratic function in vertex form whose graph has the vertex (1,8) and passes through the point (3,12)​

Answers

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YOU BE THE TEACHER Your friend determine whether the relation shown the mapping diagram is a Munction is your de Et yes Explain your reasoning B / 5 ETT y​

Answers

Fefecedecefec and ye among us imposter I think answer is g

PLEASE HELP!!!! WHOEVER ANSWERS FIRST WILL BE MARKED BRAINLIEST!!!

Answers

Answer:

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Step-by-step explanation:

All you have to do is find the slope, which is given in the question and then count it and see what line goes with the slope you were given.

1/3 is the slope so count that to check your work, and it works out :)

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Answers

I am not really sure but I think the answer is B

Find the area of the figure below

Answers

Answer:

26.0 in

Step-by-step explanation:

area = half base ×height

base=13÷2

=6.5

height=4

6.5×4

=26

there are 90 chairs arranged for people to watch a band concert. if 75 chairs have people in them during the concert, what percentage of the chairs are fiilled​

Answers

Answer: 83.3%

Step-by-step explanation:

Simply you want to divide 75 by 90 and you will get 83.3%

373 students went on a field trip. Seven buses were filled and 16 students traveled in cars. How many
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Answers

Answer: 35

Step-by-step explanation:

Answer:

There were 54 children in each bus.

Step-by-step explanation:

Plz help


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Answers

Answer:

The slope is -3/4 because it rises goes down 3 and runs 4. the Y-intercept or where the line meets the y line is 3

Step-by-step explanation:

A local theater is selling tickets for a play. Student tickets cost $4.50 and adult tickets cost $7.50 each. The theater can hold at most 800 people and would like to make at least $3000.
Write a system of inequalities

Answers

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Answers

20ft. 10ft
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1) What equation is used in the function table below?

Answers

Answer:

y = -3x

Step-by-step explanation:

it’s y=-3x because it’s dividing by 3 each time

CAN SOMEONE HELP MEEE PLEASEEEE

Answers

Answer:Third Person Objective

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.

Answers

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

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7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

7 t-shirts and a hat costs £67.00
5 t-shirts and a hat costs £49.00.
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Answers

£67.00 / 7= £9.57that’s how much cost the hat
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100 POINTS!!!! Pleas answer ALL of these questions and SHOW YOUR WORK. If you don't answer all questions fully your answer will be reported : /
Please try your best! Thank you!!!!

Answers

Answer:

13.

p=$2000

t=5year

rate=2.5%

compound amount =p(1+r/100)^t

=2000(1+2.5/100)^5=$2262.8 is total balance

PLS, I'm begging for help, il give the brainiest to who gives me the right answer! THIS IS 30 POINTS
Question: pentagon STUVW is similar to S' T' U' V' W'. angle U=56 degrees, angle U' = 3x-16, and Angle T'=x+46. ST=57, UV=63, S' T'=19 and U' V' =y+4
a. Find x
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c. Find y
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Answers

Answer:

Similarity doesn't changes angle measures

∠U = 56°, ∠U' = 3x - 16∠U = ∠U'

a) 3x - 16 = 56 ⇒ 3x = 72 ⇒ x = 24°

b) ∠T = x + 46 = 24 + 46 = 70°

c) Scale factor:

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Sophia cut a piece of wood that measured 10.2inches but she was supposed to cut 16 inches what is the percent error

Answers

Answer: 35.80 %

Step-by-step explanation:

Given

Sophia mistakenly cut 10.2 inches

The actual cut should be 16 inches

[tex]\Rightarrow \% \text{error}=\dfrac{\text{Actual dimension-Faulty dimension}}{\text{Actual dimension}}\times 100\\\\\Rightarrow \% \text{error}=\dfrac{16-10.2}{16.2}\times 100=35.80\%[/tex]

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