Which formula represents this sequence 2,8,14...?

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = 6n - 4

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

8 - 2 = 14 - 8 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 6 , thus

[tex]a_{n}[/tex] = 2 + 6(n - 1) = 2 + 6n - 6 = 6n - 4

Thus the formula representing the sequence is

[tex]a_{n}[/tex] = 6n - 4


Related Questions

In the diagram below, find the value of y....

Answers

Answer:

y = 130

Step-by-step explanation:

(4x+8) + (3x-19) + (x+7) = 180

4x + 8 + 3x - 19 + x + 7 = 180

(4x + 3x + x) + (8 -19 + 7) = 180

8x - 4 = 180

8x -4 +4 = 180 +4

8x = 184

8x/8 = 184/8

x = 23

3(23) - 19 = 50

50 + y = 180

180 - 50 = y

y = 130

help please i don’t know which one it is

Answers

Answer:

D

Step-by-step explanation:

The formula matches up with the sequence. If you want to find f2 you look to f1 which is 8. Then you subtract by 2. This means to get f1, f0 would have to be 10 because 10-2 is 8.

Find the sum or difference for questions 1-3. 20.58 – 13.3 A. 6.88 B. 7.28 C. 33.88 D. 7.58 plz respond fast

Answers

Answer:

B

Step-by-step explanation:

20.58

- 13.3

= 7.28 here u go

The difference between 20.58 and 13.3 is 7.28.

What is a decimal ?

Decimal is a dot or a point which separates the whole part and the fractional part of given number.

According to the given question

The difference of 20.58 and 13.3 is

(20.58 - 13.3 ) can be written as (20.58 - 13.30 ).

If we remove the decimals and simply subtract 1330 from 2058 we get

(2058 - 1330)

= 728 and putting back the decimals in their actual place which was two digits from the leftmost side we get

= 7.28

So the difference between 20.58 and 13.3 is 7.28.

Learn more about decimals here :

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what is 9/20 - 1/4 in the simplest from

Answers

Answer:

1/5

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

9/20-1/4=1/5

Find the x and y intercepts of the equation.
3x +y = −6

Answers

Answer:

x-intercepts: (2,0)

Y intercepts: (0,6)

Step-by-step explanation:

6.
-6 + m = 3.6
ASAP NEED HELP PLS

Answers

Answer:

2.4 is the answer

Step-by-step explanation:

Marcus bought a bowl of cereal and two bananas for $3.75. The cereal was $1.25. How much is one banana?

Answers

One banana would cost $1.25

Answer:

here the equation

so the banana is 1.25 per

Step-by-step explanation:

(3.75- 1.25)/2

2.5/2

1.25

Susanna purchased a shirt for $5 pants for $10 and a jacket for $25 she wants to buy at least one purse for the outfit but she wants to have something left of her original $65 how much money might she spend on the purse?

Answers

She should spend $20 on the purse and keep $5

Answer:

Spends $20 and she has $5 leftover.

Step-by-step explanation:

An lift holds no more than 1200 pounds if you are rolling a cart that weighs 760 pounds how much more can the elevator hold?

Answers

Answer: 440

1200 - 760 = 440

Answer: 440 pounds

Step-by-step explanation:

Y = -(X +5) + X +4 if X = -4. Y = ?

Answers

Answer:

y=-1

Step-by-step explanation:

Omar is putting 5 liters of water in two goldfish bowls. He spills 200 milliliters of water and divides the remaining water evenly into two bowls? A) How many liters of water was spilt? B) How many milliliters of water was remaining? C) How many milliliters of water does Omar pour in each bowl?

Answers

Answer:

a) 0.2 L

b) 4800 ml

c) 2400 ml

Step-by-step explanation:

Total volume of water = 5 litres

Since 1000 milliliters make 1 L

5L = 5000 ml

a) litres of water spilt = 200/1000 = 0.2 L

b) milliliters of water remaining = 5000 - 200 = 4800 ml

c) since it was expressly stated in the question that the remaining water was divided evenly; 4800/2 = 2400 ml in each bowl

Which of the following has 14.705 in written form?
OA) fourteen and seven hundred five thousands
O B) fourteen and seven hundred five hundredths
O C) fourteen and seven hundred five thousandths
OD) none of the above

Answers

Answer:

b

Step-by-step explanation:

Answer:

answer choice b

Step-by-step explanation:

hope it helps!!

please help!!

factor: 3n^2+10m-8

Answers

Answer:

The expression is not factorable

Step-by-step explanation:

If one penny, two dimes, and one quarter are added to the bag, what is the new probability that Marissa will draw a nickel? Write your answer as a fraction, as a decimal, and as a percent.

Answers

Answer:

As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%

What is the reason for Statement 2 of the two-column proof?
Ruler Postulate
Angle Addition Postulate
Angle Congruence Postulate
Linear Pair Postulate​

Answers

Answer:

Linear Pair Postulate

Step-by-step explanation:

I took the test and this is the right answer.

Supplementary angles are two angles that add up to [tex]180^o[/tex]. The reason for statement 2 is Linear Pair Postulate​.

From the given figure, we can see that:

[tex]\angle PQS[/tex] and [tex]\angle SQR[/tex] are on a straight lineThey both add up to [tex]180^o[/tex]

When two angles have the above features, the two angles are said to be linear pairs, and they are supplementary.

Hence, the statement that complete the proof is (d) Linear Pair Postulate​

Read more about linear pair postulates at:

https://brainly.com/question/19246011

Hey my little sis asked about this one

what is 23.678 rounded to the nearest hundredths

tbh i don't have time to slove it what about you guys?

Answers

23.68
Hope this helps

What is the distance of the line?
Remember the distance formula is (23 - 23) + (42 -

Answers

Answer:

The distance of the line is 10.82

Step-by-step explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The graph clearly shows the points (-5,4) (4,-2), thus the distance is:

[tex]d=\sqrt{(4-(-5))^2+(-2-4)^2}=\sqrt{9^2+(-6)^2}[/tex]

[tex]d=\sqrt{81+36}=\sqrt{117}=10.82[/tex]

The distance of the line is 10.82

2 + 1/3t = 1 + 1/4t
Please help me

Answers

Answer:

r =-12

Step-by-step explanation:

[tex]2 + 1/3t = 1 + 1/4t\\\\2+\frac{1}{3}t=1+\frac{1}{4}t\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2+\frac{1}{3}t-2=1+\frac{1}{4}t-2\\\\Simplify\\\frac{1}{3}t=\frac{1}{4}t-1\\\\\mathrm{Subtract\:}\frac{1}{4}t\mathrm{\:from\:both\:sides}\\\frac{1}{3}t-\frac{1}{4}t=\frac{1}{4}t-1-\frac{1}{4}t\\\\Simplify\\\frac{1}{12}t=-1\\\\\mathrm{Multiply\:both\:sides\:by\:}12\\12\times\frac{1}{12}t=12\left(-1\right)\\\\\\Simplify\\r =-12[/tex]

-36 + |(-6) + (-31 - 12 + (-4)

Answers

Answer:

i don't know if you can make it to the thor or long or short and I can do it again soon and piece you up a little more about the finale of the final.

Answer:

-89

Step-by-step explanation:

Find the measure of the missing angle.

O 115
0 123
O 58
180

Answers

I think it would help if you included a picture of the question or at least the angles/sides you know so that I can solve it.

I am thinking of a number. Add seven to the number and then multiply
it by two. The answer is sixteen. What is my number?(it’s a riddle)

Answers

Answer:

1

Step-by-step explanation:

7+1

=8

8*2

=16

[2(x+10)] (3x-30) what is the value of x

Answers

Answer:

x = 50

Step-by-step explanation:

What is 6 divided by 20.
DO NOT give me: the answer is 3.33333333 >:(
(thanks)

Answers

Answer:

3.3333 your welcome :)

jk 10/3, 3 1/3

The fraction 6/20 can also be simplified to 3/10, which is the same as 0.3 in decimal form.

To calculate 6 divided by 20, you simply perform the division operation. Divide the numerator (6) by the denominator (20):

6 ÷ 20 = 0.3

The result of 6 divided by 20 is 0.3. This means that if you divide 6 into 20 equal parts, each part will be 0.3.

In decimal form, the fraction 6/20 is equivalent to 0.3. Decimal notation is useful when dealing with fractions that don't easily simplify into whole numbers. In this case, the division results in a decimal less than 1, representing a fraction that is less than a whole. The fraction 6/20 can also be simplified to 3/10, which is the same as 0.3 in decimal form.

To know more about fraction:

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Amarosa runs 3/4 mile everyday. How many miles does she run in 5 days?

Answers

Answer:

3.75 or 3 3/4

Step-by-step explanation:

(3/4) times 5 equals 3.75

PLZ HELP ASAP!!!
Select the correct answer.
What is a disadvantage of using a multimedia presentation?
A.
It does not allow audience interaction.
B.
It requires special hardware, such as a computer and speakers.
C.
Viewers have no control over the sequence of the presentation.
D.
It cannot reach a large au

Answers

Answer:

B:(It requires special hardware, such as a computer and speakers.)

This is the correct answer! Setting up the hardware and software often takes a long time and delays the start of the presentation

Step-by-step explanation:

brainliest would be appreciated

the answer to this would be b

A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark
at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?

With work quickly please!!

Answers

Answer:

2ft

Step-by-step explanation:

what is the actual distance between the two places which is represented by 4.5 cm on a map if the map is drawn to the scale 1:100000

Answers

Answer:

12

Step-by-step explanation:

Students in the sophomore class were asked whether they preferred vanilla or chocolate
Ice Cream
Frequency
Vanilla
50
Chocolate
30
6. What is the relative frequency of sophomores chose chocolate?
7. What is a probability distribution for this data?:

Answers

are you asking for the percentage?

PLS HELP ............................

Answers

Answer:

The slope-intercept form is y =  [tex]-\frac{3}{4}[/tex] x + 8 ⇒ B

Step-by-step explanation:

The slope-intercept form of the linear equation is:

y = m x + b, where

m is the slopeb is the y-intercept

From the given in the question

∵ The slope of the line is [tex]-\frac{3}{4}[/tex]

m =  [tex]-\frac{3}{4}[/tex]

→ Substitute its value in the form of the equation above

∴ y =  [tex]-\frac{3}{4}[/tex] x + b

→ To find b substitute x and y by the coordinates of any point on the line

∵ The line passes through the point (8, 2)

∴ x = 8 and y = 2

∵ 2 =  [tex]-\frac{3}{4}[/tex] (8) + b

∴ 2 = -6 + b

→ Add 6 to both sides to find b

∴ 2 + 6 = -6 + 6 + b

8 = b

→ Substitute the value of b in the equation above

∴ y =  [tex]-\frac{3}{4}[/tex] x + 8

The slope-intercept form is y =  [tex]-\frac{3}{4}[/tex] x + 8

Help please? Does anyone understand this?

Answers

The correct answer would be choice D

Answer:

15

Step-by-step explanation:

TU is parallel to IJ.  So ∠I and ∠T are corresponding angles, and ∠U and ∠J are corresponding angles.

By AA similarity, ΔHTU and ΔHIJ are similar.

Write a proportion:

HT / HI = HU / HJ

Plug in values:

4 / 10 = x / (x + 9)

Cross multiply:

4 (x + 9) = 10x

4x + 36 = 10x

36 = 6x

x = 6

So HU = 6, and HJ = 6 + 9 = 15.

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