In the text box, write the next 3 terms in the sequence and describe the pattern. In the checkbox, identify if the sequence is arithmetic, geometric or neither and identify if the sequence has a common ratio, a common difference or neither.

-4, -2, 0, 2, ____, ____, ____,

Arithmetic
Geometric
Neither
Common difference
Common ratio

Answers

Answer 1

Answer:

d = 2

Next 3 terms = 4, 6 and 8

Step-by-step explanation:

Given the sequence

-4, -2, 0, 2, ____, ____, ____,

common difference = -2-(-4) = 0-(-2) = 2

Since they have the same common difference, hence it is an arithmetoc progression

Tn  = a +(n-1)d

a is the first term = -4

n is the number of terms

d is the common difference = 2

Get the fifth term

T5 = -4+(5-1)2

T5 = -4+(4)(2)

T5 = -4 + 8

T5 = 4

T6 = -4+(6-1)2

T6 = -4+(5)(2)

T6 = -4 + 10

T6 = 6

T7 = -4+(7-1)2

T7 = -4+(6)(2)

T7 = -4 + 12

T8 = 8

Hence the next 3 terms are 4, 6 and 8


Related Questions

Which list of points are solutions to the graph of y = c – 2?
A
(8,4), (10,5), (12, 6)
B
С
(20,8), (30, 13), (40, 18)
(-20, -8), (-30, -13), (-40, -18)
(-8,-10), (-10,-12), (-12, -14)
D
HELP ME PLEASEE

Answers

Step-by-step explanation:

(-8,-10) (-10,-12) (-12,-14)

just plug them into the formula and see that it works.

I need question 4 and 5

Answers

Answer:

4) x=14

Step-by-step explanation:

multiply the area by 2 to get 140then devide by 10 to find x

A package of 3 pairs of insulated gloves costs ​$16.77. What is the unit price of the pairs of gloves​?

Answers

Answer:

5.59

Step-by-step explanation:

2
8.
14
Y
2
10
50 250
Is the relationship linear, exponential, or neither?

Answers

Answer:

Exponential relationship

Step-by-step explanation:

Looking at the y-values, it seems a geometric progression with the common ratio of 5. Therefore it can be exponential relationship.

By trying the values in the table we get the equation:

y = 2×[tex]5^{(x+4)/6}[/tex]

Please help me, I think this is easy but I just don't get it...

Answers

Answer:

the last one?

Step-by-step explanation:

i dont know, but that one seems like it would

Answer:

answer is A if only one can be chosen. if more than one can be, b might be an answer as well, but not c and d.

Step-by-step explanation:

think of a 3 4 5 triangle for answer a.

just remembered this method, do Pythagorean theorem for each answer. that will tell you which equals a triangle. answer a foe sure is one cmbecuase of a 3 4 5 triangle.

12+22+32+...+102 =?

Answers

Answer:

750 is the answer. Hope it helps!

If you subtract 14 from twice a number, the result is 6. What is the number?

Answers

The equation for this statement:

2x – 14 = 6

=> 2x = 6 + 14

=> 2x = 20

=> x = 20/2

=> x = 10

mark and heather starr are celebrating their 25th anniversary by having a reception at local reception hall. they have budget 4500 for their reception. if the reception hall charges 50 cleanup fee plus 30 per person find the greatest number of people they may invite

Answers

Answer:

Step-by-step explanation:

The $50 cleanup fee is a "fixed cost."

The "$30 per-person fee is a "variable cost."  That is, it varies with the number of people.

 

"within"  means "less than or equal to"

 

Cost = $50 + $30x       [where x = number of people]

 

Cost ≤  $4500              ["stay within their budget"]

$50 + $30x ≤ $4500           [substitute for cost]

 $30x ≤ $4450      [subtract $50 from both sides retains sense of inequality]

   x ≤ 148.3333     [divide by +$30 retains sense of inequality]

 

Mark and Heather may invite up to 148 guests.

     [note:  to be "≤," always truncate, never round up]

 

Check:

 148 people for $30 each + $50 is $4440+$50 = $4490.

One more person makes it $4520 -- that is too much.

There we go, my bad

Answer:

Step-by-step explanation:

First we need a linear equation for the situation. 50 cleanup fee applies regardless of how many people they have.  Even if NOBODY shows up, they will be charged $50, so $50 is our y-intercept. If they are charged $30 per person, and we are looking for the number of people they can invite, x will represent the number of people and y will represent the cost of everything. The linear equation is

y = 30x + 50. If they have 4500 to spend, then

4500 = 30x + 50, and now solve it for x:

4450 = 30x and now divide by 30 to get

148 1/3 = x. Now, you can't invite a third of a person, so it would be safe to invite 148 people and you won't go over your budget.

4/9 X (-1/8) SIMPLIFY

Answers

Answer:

-0.05555555555

Step-by-step explanation:

What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast

Answers

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5

Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each.
Then on the way to the register, Lisa notices a cool pair of shoes that cost $39. If she wants those shoes and the jeans, how many t-shirts will she be able to purchase? Create an inequality to represent the number of t-shirts that Lisa can purchase?

Answers

Answer:

To determine the number of shirts that Lisa can buy, knowing that each one is worth $ 14, that she can spend a maximum of $ 150 and that she will also buy a pair of jeans for $ 58 and a pair of shoes for $ 39, the following calculation must be performed:

(150 - 58 - 39) / 14 = X

53/14 = X

3.78 = X

53 - (14 x 3) = X

11 = X

Therefore, Lisa can buy 3 T-shirts, and she will have 11 dollars left over.

Jammy invests $4,000 at a rate of 8% (simple interest). What is the amount of interest at the end of
the first year?


a. $320
b. $4320
c. $5000
d. $3200

Answers

Sorry if I’m wrong, I’m in middle school but I’m pretty sure 320$

What is x/3 + x/5 ? Give the correct answer

Answers

Answer:

[tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] =

Step-by-step explanation:

We need to find the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex]

The LCM of 3 and 5 is 15. So,

[tex]\dfrac{x}{3}+\dfrac{x}{5}=\dfrac{5x+3x}{15}[/tex]

[tex]=\dfrac{8x}{15}[/tex]

So, the value of [tex]\dfrac{x}{3}+\dfrac{x}{5}[/tex] is equal to [tex]\dfrac{8x}{15}[/tex].

POINTS PLZ HELP!!!!!
Drag the terms to the correct locations in the expression. Not all terms will be used.
What is the complete factorization of 2x2 − 11x − 21?

x
2x
3x
1
3
7
they can be used more than once.
place them here
(__+__)(__-__)

Answers

Answer:

(2x+3)(x-7)

Step-by-step explanation:

2x^2+3x-14x-21

2x(x-7)+3(x-7)

The factors of the expression are (2x+3)(x-7).

What is factorization?

Factorization is the breaking or decomposition of an entity (a number, a matrix, or a polynomial) into a product of another entity, or factors, which when multiplied together give the original number. Factorize an expression involves take out the greatest common factor (GCF) of all the terms.

For the given situation,

The expression is [tex]2x^{2} -11x-21[/tex]

The complete factorization of the expression is as,

⇒ [tex]2x^{2} -11x-21=0[/tex]

⇒ [tex]2x^{2} -14x+3x-21=0[/tex]

⇒ [tex]2x(x-7)+3(x-7)=0[/tex]

⇒ [tex](2x+3)(x-7)=0[/tex]

The value of x can be found as

⇒ [tex]2x+3 = 0[/tex] or [tex]x-7 = 0[/tex]

⇒ [tex]x=\frac{-3}{2}[/tex] or [tex]x=7[/tex]

Then -3/2 and 7 are the zeroes of the expression.

Hence we can conclude that the complete factorization of the expression are (2x+3)(x-7).

Learn more about factorization here

https://brainly.com/question/22048687

#SPJ2

4)
Write an equation to model the
scenario:
You buy a house for $215,000. The
value of the house increases 3%
Each year

Answers

y=total
x=number of years
215,000 x .03x = y

Oliva used 1/2 pound of peppers and 1/15 pound of cheese to make 3 pizzas if she uses the same recipe to make 5pizza, how much cheese is needed

Answers

Answer:

oliva needs 5 pounds of cheese

Step-by-step explanation:

if you have 60 G of fluorescent powder and 124 cups of medium base paint, and the ratio is one part powder to five parts paint how many cups of paint can I make with fluorescent powder​

Answers

Answer:

1.268 cups

Step-by-step explanation:

60 G=0.2536 cups  (I found a G to cup converter on the internet)

0.2536x5=1.268 cups of paint it would mix with at a 1 to 5 ratio

15. Hatice Hanım, 3 çocuğuna birer
ayakkabı almıştır. Ayakkabılar için satıcıya
500 TL veren Hatice Hanım, 5 TL para
üstü almıştır. Ayakkabıların fiyatları eşit
olduğuna göre bir ayakkabının fiyatı kaç
liradır?
A) 150
B) 155
C) 160
D) 165​

Answers

Answer:

D

Step-by-step explanation:

Merhaba!

500-5=495

bir ayakkabı=495/3=165

Good work ;)

Marcus wants to save $378 in order to buy a new electronic keyboard. He plans to save $15.75 every week from his paycheck. Right and solve an equation to find how many weeks Marcus will need to save save.

Answers

Answer:

15.75 * 24 = 378

Step-by-step explanation:

15.75x = 378. We need to first isolate the variable. x = 24. Using this we can make the equation. 15.75 * 24 = 378

Select the correct answer.
What is the difference of the values of the two variables in this system of equations?
y=2x+1
x+3y= 10
OA. 0
OB. 1
Ос.
2
OD. 3

Answers

Answer:

C. 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 2x + 1

x + 3y = 10

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                 x + 3(2x + 1) = 10Distribute 3:                                                                                                      x + 6x + 3 = 10Combine like terms:                                                                                       7x + 3 = 10[Subtraction Property of Equality] Subtract 3 on both sides:                      7x = 7[Division Property of Equality] Divide 7 on both sides:                                x = 1

Step 3: Solve for y

Define original equation:                                                                               y = 2x + 1Substitute in x:                                                                                                y = 2(1) + 1Multiply:                                                                                                           y = 2 + 1Add:                                                                                                                 y = 3

Step 4: Find difference

y = 3

x = 1

Subtract:                                                                                                          3 - 1 = 2

2 + 3 + 4= ( 2 + 3) +4

Answers

Answer:

It equals 9 or it is true

Step-by-step explanation:

Answer:

yes they are the same

Step-by-step explanation:

they both equal 9

ABCD∼EFGH
The value of x is

Answers

Answer

didn't know there was an image

An arithmetic sequence has the following properties:
The sum of its 18 term and 4th term is 29
1) The sum of its oth and 8th terms is 74
Find a formula for the nth term T of this sequence.

Answers

Answer:

Easy peasy

Step-by-step explanation:

7+(n-1)5

Find the slope of the line below. If necessary, use a slash (/) to indicate a
division bar.
(4,3)
(-6,-3)
m =

Answers

Answer:

3/5

Step-by-step explanation:

As we move (right) from the first point to the second, we see x (the run) increasing by 10 and y (the rise) by 6.  Thus, the slope of the line shown in the diagram is

m = rise / run = 6/10 = 3/5

Your cellphone plan is by the minute. Each minute of use costs $0.10. Create a relation that represents the amount spent, A, per minute, m, of call time.

Answers

Answer:

A = 0.10m

Step-by-step explanation:

A = total amount spent

0.10 = cost per minute

m = how many minutes


A rectangle has an area of 24 square feet and a length of 6 feet. Calculate the perimeter of the rectangle.

Answers

24/6
=4
2(4+6) = 2x10
=20 feet

What is a probability that rolling a six-sided die results in 2 or 3?

Answers

The probability of rolling a 2 would be 1/6

The probability of rolling a 3 would be 1/6

The probability of rolling a 2 or a 3 would be 1/6 + 1/6 = 2/6, which reduces to 1/3

The answer is 1/3

help me solve this please.​

Answers

6, 7, 8, and 9. just plug the X into the equation


Find each missing side, then the perimeter

Answers

Answer:

A 10

B10

C10

in total is 106

Pls hurry and help!!!!! 3х + 3 = Зу
2x – 6у = 2. Solve the equations by using elimination (adding) show work

Answers

Answer:

Step-by-step explanation:

3x - 3y = -3

2x - 6y = 2

-6x + 6y = 6

2x - 6y = 2

-4x = 8

x = -2

-4 - 6y = 2

-6y = 6

y = -1

(-2, -1)

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