Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...​

Answers

Answer 1

Answer:

The given sequence is an arithmetic sequence.

Step-by-step explanation:

Given sequence is:

7, 10, 13, 16, ...

Here

[tex]a_1 = 7\\a_2 = 10\\a_3 = 13\\a_4 = 16[/tex]

In order for a sequence to be an arithmetic sequence the common difference between the consecutive terms of the sequence should be same. Common difference is denoted by d.

So,

[tex]d = a_2 - a_1 = 10-7 = 3\\d = a_3 - a_2 = 13-10 = 3\\d = a_4-a_3 = 16-13 = 3[/tex]

As we can see that the common difference is same for consecutive terms.

The given sequence is an arithmetic sequence.


Related Questions

ljfehhgsdddzcSDJCHjgsDdlhfcgadscbsdhcSDMlnSBDZx

Answers

Answer:

?

Step-by-step explanation:

A tourist can bicycle 26 miles in the same time as he can walk 6 miles. If he can ride 10 mph faster than he can walk, how much time should he allow to walk a 25-mile trail

Answers

Answer:

It would take him 3 miles to talk a 25-mile trail

Step-by-step explanation:

A flag measures 150 feet by 75 feet. Find its area​

Answers

Area = length x width

Area = 150 x 75

Area = 11,250 square feet

Answer:

11,250 ft

[tex] {?}^{2} [/tex]

A Salesman earns 8% commission on all the merchendise that he sells. Last month he sold $4000 worth of merchandise. How much commission ( in dollars) did he earn last month?

Answers

Answer:

$320

Step-by-step explanation:

For this question, you just need to find 8% of $4000.

1. Convert 8% to a decimal. 8% = 0.08

2. Multiply. 0.08 ($4000) = $320

Can anyone help me find the value of x of this mid segment triangle?

Answers

Answer:

Step-by-step explanation:

You have the correct answer. The sides are cut in half. 16 and x are in the same ratio 2:1

16 / 8 = 2:1

Help me pleaseeeeeeeeeeeeeee

Answers

Answer:

D

Step-by-step explanation:

1 1/8 +3/4= 1 7/8

3- 1 7/8

= 1 1/8

Answer:

D

Step-by-step explanation:

123456789101112131415

Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.​

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

y = -2x + 4

Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.

y-intercept through point (3, 1):

y = mx + b

1 = -2(3) + b

1 = -6 + b

b = 7

Equation of line that is parallel to original:

y = mx + b

y = -2x + 7

Shannon is paid £1150 a month after deductions.

What is her net annual salary? (A year = 12 months)

Answers

Answer:

I think that answer is 13800

Step-by-step explanation:

An airplane travels 550 miles from North Carolina to Tennessee in 90 minutes. At this rate, how many minutes will it take the airplane to travel 6,600 miles?

Answers

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

Can you guys please with me out with the question please

Answers

Answer:

Team score in first game < 19

Step-by-step explanation:

Point Scored in Third Game =X

Points Scored in First Game = X+6 (6 more than third game)

Points Scored in Second Game = 23

Total Points ={( First Game) +( Second Game) + (Third Game)} < 55

                      { ( X+6) + (23) + (X)} < 55

                       X+29+X < 55

                       2X+29 < 55

                       2X< 55-29

                       2X < 26

                         X <26/2

                         X<13

So the point scored in First game is: (X+6)

Where X < 13

So the point in First game is < 19

What is the answer for number 3

Answers

Answer:

x = 2

Step-by-step explanation:

-1.5x + 33 = 30

-1.5x = 30 - 33

x = -3 / -1.5

x = 2

Answer:

the first person gave u the right answer so head on ur going to get it right. wish u well

Six comics are to perform on a single evening. Find the probability

Answers

Answer:

1 in 6

Step-by-step explanation:

3. Lisa's checking account charges her a $35 overdraft fee plus the purchase amount
for each purchase that cause her account balance to go below or stay below $0.
On Monday, her account balance was only $40. She made the following purchases
in order:
$25 on a gift for her friend
$10 on fast food
$37 on groceries
$15 on gas
She then deposited a $650 check into her account.
What is her new account balance? IS
(8 Points)
5498
$533
$568
$603

Answers

Her new balance will be $603

A car is sold for $18,000. After one year, the value of the car is $9,900. Write an exponential function y to determine the value of
the car after x years if the rate of decrease is the same each year.
y =
Estimate the value of the car after 6 years. Round the answer to the nearest dollar.

Answers

Answer:

temperature and kinctic energy are related

i need points. hope you understand.

Find the value of 6.8 +9.2

Answers

Answer:

16

Step-by-step explanation:

6.8

+9.2

______

16

Hope I helped!

Answer:

16

Step-by-step explanation:

The parallelogram shown bellow has an area of 15 units over 2

Answers

Answer:

The value of h is [tex]\frac{5}{2}[/tex] units

Step-by-step explanation:

In any parallelogram, there are two different pair of bases b1, b2 and their corresponding heights h1, h2, where h1 ⊥ b1 and h2 ⊥ b2The area of parallelogram = b1 × h1 OR b2 × h2

In the given figure

∵ Every two opposite sides of the parallelogram are equal

∴ The length of the base of the height h is 3 units

∵ The area of the parallelogram = [tex]\frac{15}{2}[/tex] units

∵ Area of parallelogram = b × h

→ Substitute the values of the area and the base in the rule above

∴ [tex]\frac{15}{2}[/tex] = 3 × h

∴ [tex]\frac{15}{2}[/tex] = 3h

→ Divide both sides by 3 to find h

∵  [tex]\frac{15}{2}[/tex] ÷ 3 = 3h ÷ 3

∴ [tex]\frac{15}{6}[/tex] = h

→ Simplify the fraction by divide up and down by 3 and switch the 2 sides

h = [tex]\frac{5}{2}[/tex] units

Factor using the identity:
a3 + b3 = (a + b)(a? - ab + b2)
Z3+8

Answers

Is this by chance what you are looking for? I’m a little confused as to what you are asking lol

I had plugged z^3 + 8 into the (a^3 + b^3) and got that but I don’t wanna tell you this would be completely correct

Math help! Answers???

Answers

Answer: 5.b; 6.a

Step-by-step explanation:

Myra is cooking meat the double number line shows that he needs 12 hours too cook 5 kilograms of meat how long does myron need to cook 3 kilograms of meat​

Answers

Answer : 7.2 hours

Step by Step Explanation: 12 divided by five equals 2.4

2.4 times 3 equals 7.2

The area of a rectangle is 72 square metres. The length of the rectangle is twice the width. Find the width of the rectangle.

Answers

Answer: Width = 6m

Working:
Find common factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Work out which ones multiply together to make 72 and as the question states that the length is twice the width, we need to find two numbers that multiply to make 72 and one of the numbers is double the other number.

These numbers would be 6 and 12. (6 x 12 = 72)

Therefore:

Area = 72m²
Width = 6m
Length = 12m

A checking account is overdrawn if it has a
negative balance. Marc's account is overdrawn by
$45. What will the balance be after he deposits
$170 and writes a check for $59?

Answers

Answer:

64.

Step-by-step explanation:

170 - 59 = 109

109 - 45 = 64

or do

59 + 45 = 104

104 - 170 = 64

Answer: it’s 66

Step-by-step explanation:

Can somebody help me and answer this I’ll give u thanks if ur right here’s the picture

Answers

Answer:

H

Step-by-step explanation:

The additive inverse property states that x-x=0, or x+(-x). The property that represents this is H.

Hope this helps plz mark brainliest :D

Given: AB ∩ CD = O, m∠NOD = x,m∠AON = 44º, m∠BOC = 102º.
Find: x.

Answers

Answer:

x= 58

Step-by-step explanation:

minus 44 from 102

• The packages of henna powder cost $12 each and the squeeze
bottles cost $3 each. What is Sushmila's total cost for the supplies?

Answers

Answer:

Step-by-step explanation:

If she is just buying one henna package and one squeeze bottles the total is 12 + 3 which is 15

Answer:

27

Step-by-step explanation:

I got it right

3
3. Write an expression that is equivalent to
5
(3y + 15). (4 points)
O 3
-y + 9
5
03
-y + 15
5
09
5
Y + 9
09
- y + 15
5

Answers

Answer:

9/5y+15

Step-by-step explanation:

an integer divided from an integer is an integer

Answers

Answer:

YES

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Please help its important!!
Triangle ABC in the figure above represents the area serviced by a shipping company that plans to build a distribution center at the incenter of the triangle located at point E. A circle is constructed to represent the location of the center. The diameter of the circle is 28 miles. The existing road is perpendicular to the incenter and the company is looking to build 2 more perpendicular roads but connecting the other 2 sides of the triangle. How many more miles of road will be needed?

Select one:
A. 28
B. 34
C. 43
D. 56

Answers

Answer:

A. 28

Step-by-step explanation:

A. 28

step 1.

We know that the diameter of the circle inscribed within the triangle is 28 miles, and we know that E is the incenter of triangle ABC.

step 2.

Next, we learned that the perpendicular legs from the incenter to the sides of the triangle are congruent, and we know that the radius of a circle is 1/2 of the diameter of the circle.

step 3.

Since the diameter of the circle is 28, we know the distance of segment DE is 14. Next, we know the perpendicular legs are equal to segment DE. Thus, we can solve for the amount of additional miles of road by writing 14 + 14 = 28.

Which represents a function? Edge 2020.

Answers

The data set {(-8,-2),(-4,1),(0,-2),(2,3),(4,-4)} represents a function because for every distinct input x has only one output y, whereas all the other data sets have at least one point of x in which has two or more outputs of y.

Evan's favourite hobby is origami. He plans to make 100 paper cranes to hang from the ceiling of his bedroom. Yesterday, he made 28 paper cranes in 4 hours. Today, he made 21 paper cranes at the same rate.
How long did Evan spend making paper cranes today?

Answers

Answer:

it took him 3 hours

Step-by-step explanation:

28 divideed by 4= 7

21divided by 7=3

Two math questions


Among all pairs of numbers whose sum is 14​, find a pair whose product is as large as possible. What is the maximum​ product?
The pair of numbers whose sum is 14 and whose product is as large as possible is nothing.
​(Use a comma to separate​ answers.)
The maximum product is nothing.

and

- refer to picture

Answers

Question is not clear
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