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

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Related Questions

There are 20 marbles in a bag. 16 are red. The remaining are white. What is the probability of selecting a red marble

Answers

4 marbles white bc 20-16=4
The probability is 80%
20 Marbles Total
16 Red
16/20=.8=80%

Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid. For how much did he sold the video game? please help, WITH EXPLANATION ASWELL !!​

Answers

Answer:

£22.8

Step-by-step explanation:

Akeem bought a used video game for $38. Later, he sold it for 40% less than he paid.

First, find

40% of £38

=£15.2

Then, find the price of which he sold the video game for...

£38 – £15.2

= £22.8

Hope this helped you- have a good day bro cya)

what is the x intercept to x+4y=8

Answers

Answer:

The x-intercept is 8.

Step-by-step explanation:

To find the x-intercept, set y = 0 and solve for x

x + 4y = 8

x + 4(0) = 8

x + 0 = 8

x = 8                        The x-intercept is 8

Help me please help help help help

Answers

Answer:

area of trapezium:

a+b divided by 2, times by the height.

so its 8+20=28.

28/2=14.

14*14=196.

area=196

Step-by-step explanation:

The sum of the ages of Alice, Barbie & Cindy is 30. Alice is four times older than Cindy. Barbie is 3 years older than Alice. How old is Cindy?

A. 12
B. 21
C. 9
D. 3
E. 15​

Answers

D.

Explanation

because the number have 3

Step-by-step explanation:

A+B+C = 30

A = 4C

B = A+3

=> 4C+4C+3+C = 30

9C + 3 = 30

9C = 30-3

9C = 27

C = 3

Therefore, the age of Cindy is 3 years old

(option D)

Rachna borrowed a certain sum at the rate of 15% per annum. if she paid at the end of the two years Rs.1290 as interest Compounded annually, find the sum she borrowed.​

Answers

Given info:

Compound Interest = Rs.1290

Rate of Interest = 15% p.a

Time = 2 years

Formula we have to know:-

[tex] \dag{\underline{\boxed{\sf{C.I = P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1}}}}[/tex]

Where

C.I = Compound Interest

P = Principle

R = Rate of Interest

N = Time

[tex]\textsf{ \underline{Solution-}}\\[/tex]

Here

C.I = Rs.1290

R = 15%

N = 2 years

Principle = ?

Now,Calculating the sum (Principle) borrowed by Rachna

[tex] \quad{: \implies{\sf{C.I = \Bigg[P \bigg(1 + \dfrac{R}{100} \bigg)^{n} - 1 \Bigg]}}}[/tex]

Substituting the given values

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(1 + \dfrac{15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{(1 \times 100) + 15}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \bigg)^{2} - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{115}{100} \times \dfrac{115}{100} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg(\dfrac{13225}{10000} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg( \cancel{\dfrac{13225}{10000}} \bigg) - 1 \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = \Bigg[P \bigg({1.3225 - 1} \bigg) \Bigg]}}}[/tex]

[tex]\quad{: \implies{\sf{1290 = P \times {0.3225}}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290}{0.3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{1290 \times 1000}{0.3225 \times 1000} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\dfrac{12900000}{3225} = P}}}[/tex]

[tex]\quad{: \implies{\sf{\cancel{\dfrac{12900000}{3225}} = P}}}[/tex]

[tex]\quad{: \implies{\sf{Rs.4000 = P}}}[/tex]

[tex]\quad{\dag{\underline{\boxed{\tt{\blue{Principle} = \purple{Rs.4000 }}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Hence,

The sum (Principle) is Rs.4000.

I need help on this problem i dont know if the answer is: 16 or 48,but i dont know for sure so if my guess if wrong please tell me.**Thank you so much if you help me will make brain if you answer correctly!** =3
*no links!*

Answers

Answer:

You will need 32 ounces

Step-by-step explanation:

2 pounds x 16 = 32 ounces

300 cal / 3 oz = x / 32 oz

(300 * 32) / 3 = 3,200 calories

Please solve this for me thxs

Answers

Answer:

3w + x/z + y

That is simplest form

Please help omg , this is so confusing and stressful if you do help I LOVE YOU

Answers

Answer:

20

40

60

80

Step-by-step explanation:

The ratios have to be equal so:

1/3 = x/60 Then use cross multiplication

3x = 60

x = 20

Second one

1/3 = x/120

3x = 120

x = 40

Third One

1/3 = x/180

3x = 180

x = 60

Fourth One

1/3 = x/240

3x = 240

x = 80

easy one - giving brainly!
CREATE 5 TOTAL. YOU CAN USE DECIMALS.​

Answers

Answer:

2:4

3:6

4:8

Step-by-step explanation:

Calculate the surface area of the three-dimensional objects below.​

Answers

The answer is:
____34____

BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!

Answers

The function is increasing where the slope is positive. The slope is positive from 4 to infinity.

Hope this helps!! :)

If the length of the legs of a right triangle are 5 meters and 7 meters, what is the length of the hypotenuse to the nearest tenth of a meter?

Answers

Answer:

8.6 meters

Step-by-step explanation:

a² + b² = c²    means        leg² + leg² = hypotenuse ²

5² + 7² = hypotenuse²

25 + 49 = hypotenuse²

74 = hypotenuse ²

[tex]\sqrt{74}[/tex] = hypotenuse

8.6 = hypotenuse

-5-3x>2(10+2x)+3
help

Answers

Answer:

x < - 4

Step-by-step explanation:

- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side

- 5 - 3x > 20 + 4x + 3

- 5 - 3x > 4x + 23 ( add 3x to both sides )

- 5 > 7x + 23 ( subtract 23 from both sides )

- 28 > 7x ( divide both sides by 7 )

- 4 > x , that is

x < - 4

Solve for y
A 3
B 5
C 2
D 4

Answers

Answer:

y = 4

Step-by-step explanation:

The three lines means those segments are equal

4y+8 = 24

Subtract 8 from each side

4y+8-8 = 24-8

4y = 16

Divide each side by 4

4y/4 = 16/4

y = 4

Can I get steps on how to solve this?

Answers

Answer:divided the total buy 9 and if I’m reading correctly the total is two

Step-by-step explanation:

To find out how fast a tree grows, you can measure its trunk. A giant red oak's diameter was 248 inches in 1965. The tree's diameter had grown to 251 inches in 2005. Find the average rate of change in the diameter of the tree per year.


CLEAR CHECK

1313 inches per year


-0.075 inch per year


0.075 inch per year


3 inches per year

Answers

I think it's 0.075 inch per year

Answer:

Your answer is C. or 0.075 inches per year.

Step-by-step explanation:

251-248 = 3 ( To figure out how much it grew )

2005 -1965 = 40   ( To figure out how long it took )

3/40 = 0.075

3x-5y-7=0
X=2k-1.
Y=k

Answers

Answer:

x = 19

y = 10

Step-by-step explanation:

3x - 5y - 7 = 0

x = 2k - 1

y = k

3x - 5y = 7

x = 2y - 1

3 * (2y - 1) - 5y = 7

6y - 3 - 5y = 7

6y - 5y = 10

y = 10

x = 2 * 10 - 1

x = 19

The points A, B and C in 3D space are such that:
• AB = 10mm, AC = 17mm and BC = 28mm.
• The angle of elevation from A to B is 20°.
• The angle of elevation from A to C is 55°.
Find the angle of elevation from B to C, to the nearest degree.

Answers

Answer:

Angle of elevation= 180- (20- 55)

180- 75

105°

what should the exponent be for 11 am

Answers

Answer:

-1

---------------------

Answer:

2nd power is 121

3rd power is 1331

Step-by-step explanation:

LOL

Fill in the missing numbers to complete the division problem.​Enter your answers in the boxes.6,957\div 7=6,957÷7=Remainder:

Answers

Answer:

6

Step-by-step explanation:

why because when you work this out 6,957÷7 your answer will be 993.8571...

so you take the hole number of the decimal and multiply it by 7 the answer should be subtracted from 6,957

Amal and Ji both rent out their food
trucks. The table shows the amounts
Amal and Ji charge per hour to rent their
food trucks.

Answers

Answer:

Amal and Ji rent the same amount of per hour but Amal had a starting fee of $75

Step-by-step explanation:

pLsSsS hElP mE. iM dYiNg HeRe

Answers

Answer:

1. True

2. False

3. False

4. True

5. False

Step-by-step explanation:

Answer:

Step-by-step explanation:

1-  False

2- true

3- false

4- true

5-  true

If 3-(x - 2) = 1/27, what is the value of x?
5
3
-1
-5

Answers

First, raise the denominator (27) to the power of 1:

3^-(x-2) = 1/27^1

Next, use the negative exponent rule that is represented by the equation of 1/b^n = b^-n and then move 27 to the numerator:

3^-(x-2) = 27^-1

Rearrange the term so that both equations have the same base:

3^-(x-2) = 3^-3

Now when noticing how this has been completed, it is noticed that since both of these equations have the same bases, the only thing left to do is have the exponents equal one another. For now, ignore the bases and focus only on the two sets of exponents -(x - 2) and (-3). Lets make a new equation with only the exponents:

-(x - 2) = -3

Next, add the distributive property on the left side of the equation to remove the - sign outside (Note: Double negatives equal positive)

-x + 2 = -3

Subtract 2 from both sides:

-x = -5

Finally, it is asking for positive x not negative, so divide both sides by -1:

x = 5

So, the answer is A which is 5.

If 3-(x - 2) = 1/27 then the value of x is a) 5.

To solve for x, we'll follow these steps:

1. Distribute:

Distribute the negative sign into the parentheses:  

3 - (x - 2) = 1/27

3 - x + 2 = 1/27

Simplify:

5 - x = 1/27

2. Isolate x:

To solve for x, we need to get it alone on one side of the equation. Subtract 5 from both sides:

5 - x - 5 = 1/27 - 5

-x = -134/27

3. Multiply by -1:

To solve for x, multiply both sides by -1 to isolate x:

-1 * -x = -1 * -134/27

x = 134/27

4. Simplify:

[tex]x = \approx 4.9629[/tex]

Since none of the given options exactly match the calculated value, we can see that option a) 5 is the closest answer.

However, the precise solution is a fraction between 4 and 5, so none of the provided options is an exact match.

In summary, while none of the given options is an exact solution, the closest answer is a) 5.

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Complete Question

Choose the correct answer from the given options:

If 3-(x - 2) = 1/27, what is the value of x?

a) 5

b) 3

c) -1

d) -5

find three fraction larger than√2 and less than√3​

Answers

Step-by-step explanation:

the answer is in the image above

Select the correct answer. What is the slope of the line that goes through the points (-4,1) and (4,-5)?

A. -4/3

B. -3/4

C. 3/4

D. 4/3​

Answers

Answer:

b

Step-by-step explanation:

edge2020

factor completely x^2-4

Answers

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

what is this number in standard form:

(3 x 100)+(1 x 1/10)+(4x 1/1,000)

?????????????
pls help

Answers

Answer:

300.104

Step-by-step explanation:

3x100=300

1x(1/10)=0.1

4x(1/1,000)=0.004

300+0.1+0.004=300.104


In order to save for a new computer and printer, Joseph has a summer job working at the marina where he earns $8.50 per hour. His weekly earnings are listed in the table below
The computer he wants costs $1575, and the printer costs $225. Joseph has to earn at least how much more money, m, in order to be able to afford the computer and printer?

Answers

The correct answer is B

Explanation:

He has already made $1088 which means he needs at least (greater than or equal to) $712 more.

what is the h.c.f of 18,54 and 72​

Answers

Answer:

18.......................

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