Look at the arithmetic pattern shown here.

Select the Hint button to view a hint.

Using the variable n for the term, describe the sequence.

Look At The Arithmetic Pattern Shown Here.Select The Hint Button To View A Hint.Using The Variable N

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 10n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then

[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n

Answer 2

The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.

What is an arithmetic sequence?

Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.

Looking at the sequence we can see that the common difference d can be obtained as;

d = S2 - S1

= 20 - 10

= 10

d = S3 - S2

= 30 - 20

= 10

Learn more about arithmetic sequence:https://brainly.com/question/34721740

#SPJ3


Related Questions

1.
67°
mZ1
|

Find each angle measure

Answers

Answer:

acute angle

Step-by-step explanation:

What is the cubic root of 81 without a calculator? And how do you get it? Please explain

Answers

Answer:

[tex] 3\sqrt[3]{3} [/tex]

Step-by-step explanation:

First, notice that 81 is divisible by 3.

81/3 = 27

27 is also divisible by 3.

27/3 = 9

9 = 3 * 3

81 = 3 * 3 * 3 * 3

81 = 3^3 * 3

[tex] \sqrt[3]{81} = \sqrt[3]{3^3 \times 3} = 3\sqrt[3]{3} [/tex]

A television that costs $500 is marked up by 250%. What is the new price of the television?

Answers

answer:
625$

explanation: first you need to find what 250% of 500$ is. which to find that out , you take 500 times 0.250 which gives you 125. then you just add 125+500 and get 625$

hope this helps:)

Answer:

Its $1,750

Explanation: I got it right

Are the graphs of the equations parallel, perpendicular, or neither? y = 4x + 1 and y = -4x -

Answers

Answer:

I am not sure if you fully typed the second equation, but both of these that are written down intersect, there for are perpendicular.

If the second equation is incorrect, let me know and I'll be happy to help you :)

Neither.

Parallel lines have the same slope, while perpendicular lines have negative reciprocal slopes (multiplying their slopes result in a product of - 1). The negative reciprocal of 4 is -1/4, and the negative reciprocal of -4 is 1/4.

Since the slopes of both lines are not the same, and that they are not negative reciprocals, then the correct answer is neither.

Two numbers have a sum of 32. One number is 6 more than the other. Find the numbers

Answers

Answer: 13 & 19

Step-by-step explanation:

Let the bigger number be 'U' and the smaller number 't'.

Since the two numbers have a sum of 32, then   U + t = 32.

& since one number is 6 more than the other, the U - 6 = t

⇒ U + U - 6 = 32

             2U = 38

                U = 19

By substituting fot the value of U we found,

19 - 6 = t

      t  = 13

∴ the numbers are 13 & 19.

Answer:

13 and 19

Step-by-step explanation:

let's first set the two mystery numbers as "x"

and we know that x + (x + 6) = 32 since one of the numbers is 6 more than the other.

now let's set it up:

x + x + 6 = 32

= 2x = 26

= x = 13

so we know that x = 13 now we need to find the other number so we do:

13 + 6 = 19

now to check our work:

13 + 19 = 32

hope that helped :))

⁻x₋5у₊z=17
¬5x-5y+5z=5
2x+5y-z=10

Answers

Step-by-step explanation:

they are not like variables and terms so u cant add them nor subtract term soit stays as it is

Marie bought 6 pounds of apples for $0.87 per pound and
paid for them with a $10 bill. How much did she get back
in change?

Answers

Answer:

5.22

Step-by-step explanation:

rjskstks5oslyatkao5sylslgsltsirsotzktzo

Answer:

$4.78

Step-by-step explanation:

6 x 0.87 = 5.22

10.00 - 5.22 = 4.78

Maire got $4.78 back

in change

What is the area of a circle if the circumference is 29

Answers

Answer:

67 square units

Step-by-step explanation:

Circumference/pi = diameter

29/3.14 = 9.24

Radius = 9.24/2 = 4.62

A = pi * r^2

A = 3.14 * 4.62^2 = 67 square units

In 2007, the number of tickets sold was again 210.
Adult tickets were $2.60 each and student tickets were $1.40 each.
The total amount received from selling the 210 tickets was $480.
How many student tickets were sold?

Answers

Step-by-step explanation:

1.40x + 2.60x = 480

4x =480

x=480÷4

x=120

168 and 312

Quis
bentuk akar dari
[tex] \sqrt{18} + \sqrt{32} - 3 \sqrt{8} = [/tex]

Answers

Answer:

[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = \\ = \sqrt{9 \times 2} + \sqrt{16 \times 2} - 3 \sqrt{4 \times 2} \\ =3 \sqrt{2} + 4 \sqrt{2} - 3 \times 2 \sqrt{2} \\ = 3 + 4 - 6 \sqrt{2} \\ = 7 - 6 \sqrt{2} \\ = 1 \sqrt{2} [/tex]

Semoga membantu

Answer:

[tex]\sqrt{18} + \sqrt{32} - 3 \sqrt{8} = 1 \sqrt{2} [/tex]

Help please!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

6) At y-intercept , x = 0

So, y-intercept = 3

5) Slope = Change in y/ change in x

              [tex]= \dfrac{3-1}{0-[-3]}\\\\= \dfrac{2}{0+3}\\\\= \dfrac{2}{3}[/tex]

A man deposited $80,000.00 in a bank at 12% compound interest per annum. How much did the man have in the bank at the second year

Answers

The amount that the man have in his bank at the second year is $100,352.

Using this formula

A=P(1+R÷100)^n

Where:

A=Amount

P=Principal=$80,000

R=Rate=12%

n=Number of years=2 years

Let plug in the formula

A=$80,000(1+12÷100)^2

A=$80,000(1+0.12)^2

A=$80,000(1.12)^2

A=$80,000(1.2544)

A=$100,352

Inconclusion the amount that the man have in his bank at the second year is $100,352.

Learn more here:

https://brainly.com/question/25213872

Sooo my math teacher who’s a pain in the behind was the only one gave us homework while we’re out for and extended 1 day so if you would please help me bc I have to go back and turn this in tomorrow, please and thank you :/ (just 8-16)

Answers

Answer:ok??/????????

Step-by-step explanation:Whaaaaat?????

Khan academy What is the slope of the line?

Answers

Answer:

Slope: 3/4

Step-by-step explanation:

If you want the equation for the line:

y = (3/4)x - 1

However, this is how you find the slope:

You want to find any two point on the graph, however, it's easier if it touches exactly where two number meet. For example I chose:

(0,-1) and (2,4)

Now just find the change in y, and divide it by the change in x

change in y = 3

change in x = 4

So your slope is 3/4

Answer:

3/4

Step-by-step explanation:

who wants points answer this ;)

5 x 5

Answers

Answer:

25

Step-by-step explanation:

ez thanks for the fr3e points

Have a good day bro cya)

It’s 25 and thanks for the points I guess

Which fraction is equal to
2/8
A. 1/4
B. 2/4
C. 3/4
D. 6/4
E. 4/8

Answers

Answer:

a

Step-by-step explanation:

because if you divide 8 by 2 the number 2 goes into 8 4 times so 4 divided by 1 is 4 because 1 goes into 4 4 times

Answer:

a

Step-by-step explanation:

half the fraction

8%2=4

2%2=1

1/4

PLEASEEE HELPPPPPPPPPPPPPPPPPP ​

Answers

Answer:

coordinate is 3rd or -;- coordinates

The triangles are congruent. Write the

congruence statement (LT#4)

Answers

Answer:

C

Step-by-step explanation:

Look at the angle markings. Angle C has one mark, Angles E and S have two marks, and Angles D and R have three marks.

Therefore, these angles correspond with one another and determine the order of the letters.

The telephone company offers two billing plans for local calls. Plan 1 charges $36 per month for unlimited calls and Plan 2 charges $13 per month plus $0.05 per

call

a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2

b. Explain the meaning of the answer to part a.

a. Let x represent the number of monthly calls. The answer is

(Type an inequality.)

Answers

Answer:

After 460 calls plan 1 is more economical than plan 2

Step-by-step explanation:

Plan 1: 36x + 0y

Plan 2: 13x + 0.05y

36x < 13x + 0.05y

36x - 13x < 0.05y

23x < 0.05y

23/0.05x < y

460x < y

help please this is due rn​

Answers

Since these are alternate interior angles, they are equal. So, you would set them equal to each other (-5+13x=60). Then, add 5 to both sides to get 13x=65. Divide 65 by 13 to get the final answer, x=5

Fill in the missing number. % of 90 = 54

Answers

Answer:

60

Step-by-step explanation:

Trust me homie

What is the correct standard form for 500 + 6 + 0.09 + 0.003.

Answers

Answer:

506.093

Step-by-step explanation:

Which of the following is the measure of side a?
23.3
144
8
16


Answers

Step-by-step explanation:

it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :

c² = a² + b²

where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.

so, we have

20² = a² + 12²

400 = a² + 144

a² = 256

a = 16

FYI - we could have picked the right answer also by eliminating the wrong given answer options.

as this is a right-angled triangle :

a cannot be longer than the baseline (20).

that eliminates already the first 2 options.

and then look at the picture : a cannot be shorter than b (the other side line (12)).

that eliminates the third option.

1/2 divided by 7 3/4

Answers

Answer:

15 1/2

Step-by-step explanation:

Answer:

4/155

0.025 rounded to the nearest thousandth

Step-by-step explanation:

Bill baked n cookies. His friends ate 12 of them. Using n, write an expression for the number of cookies that remained.

Answers

Answer:

n-12= number of cookies left

Answer:

y=n-12

Step-by-step explanation:

y= how many cookies are left

n = number of cookies

-12 = how many his friends ate

Please lemme know soon, ty

Answers

Answer:

PHOTO IS BLACK . SO , I CAN'T ANSWER UR QUESTION

32.28 in
expanded form​

Answers

Step-by-step explanation:

expanded form is adding each place value together with zeros replacing all other spots

32.28

30.00 + 2.00 + 00.20 + 00.08

a die is rolled once . what is the probability that the number on top will be _____​

Answers

Answer:

I think the number on top will be 3

Answer:

50%

Step-by-step explanation:

Since the dice was only rolled twice, that would give youa  50/50 chance of getting any number on the dice, as it was only rolled once obviously.

Write the equation.Please help

Answers

y = 3x is the answer
I did the math

Help what is the fourth answer


Needed by tonight at 10

Answers

Answer:

where is the question?!

where is the question at.. lol
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