If 5, 8 are two adjacent terms in an arithmetic sequence (in that order), then the next term is

Answers

Answer 1

Answer:

11

Step-by-step explanation:

Given that:

Two adjacent terms of an arithmetic sequence are given as 5, 8.

To find:

The next term = ?

Solution:

First of all, let us learn about an arithmetic sequence and its property.

An Arithmetic sequence (sometimes known as Arithmetic Progression or an AP), is a sequence in which there is a common difference between every two terms.

Suppose, an arithmetic sequence is:

[tex]a, b, c, d[/tex]

Then common difference = [tex]b-a=c-b=d-c[/tex]

Let the next term in the given sequence be [tex]x[/tex].

Then as per the property of an Arithmetic sequence, we can say:

[tex]8-5=x-8\\\Rightarrow x=3+8\\\Rightarrow x =\bold{11}[/tex]

Therefore, the answer is: 11


Related Questions

HELLP PLEASE IT DUE AT MIDNIGHT TONIGHT

Answers

The answer is √3. This is because √3 is already an irrational number and if you multiply it but either -5/9 or add it by 4, the product or sum will not terminate, nor repeat, or is able to turn in to a fraction

Solve for x and y! Help plz

Answers

Answer:

x = 20

y = 19

Step-by-step explanation:

(2x - 3)° + (3x - 7)° = 90° (complementary angles)

(2x - 3 + 3x - 7)° = 90°

(5x - 10)° = 90°

5x - 10 = 90

5x = 90 + 10

5x = 100

x = 100/5

x = 20

2y - 1 = 2x - 3 ( vertical angles)

2y = 2x - 3 + 1

2y = 2x - 2

2y = 2*20 - 2 (plug x = 20)

2y = 40 - 2

2y = 38

y = 38/2

y = 19

driving into a 20-mph breeze cuts gas mileage by about 12%. What will be your gas mileage in a 20-mph wind if it is 24 mi/gal with no wind

Answers

Answer:

the gas mileage would be 21.12 mi/gal

Step-by-step explanation:

The computation of the gas mileage is shown below:

Given that

Driving into a 20-mph

Gas mileage by approx 12%

No wind at 24mi/gal

based on the above information

The deduction would be

= 12% × 24

= 2.88 mi/gal

Now the actual mileage in 20-mph would be

= 24 - 2.88

= 21.12 mi/gal

hence, the gas mileage would be 21.12 mi/gal

Which point is located at (8, 6)?
1014
C
B
B

Answers

B is the correct answer

Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and hands out 12 advertisements per minute, on average. Which of the following equations best models the relationship between the amount of time t, in minutes, Sam spends handing out advertisements and the number of advertisements, n, remaining? A t = 5,000n - 12 B n = 5,000t - 12 C t = 5,000 - 12n D n = 5,000 - 12t ​

Answers

Answer:

n = 5,000 - 12t ​

Step-by-step explanation:

Sam is handing out advertisements for an upcoming event.

No of advertisements = 5000

No of advertisements per minute is 12.

We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.

5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :

n = 5,000 - 12t ​

Hence, the correct option is (d).

Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month?

Answers

your answer should be $7.75

Joshua after all his spending has $7.75 at the end of the month

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.

So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,

= $(20.50 + 7.50 + 3.75).

= $31.75

Now, we'll subtract all his spending,

= $(31.75 - 5.25 18.75).

= $7.75.

learn more about numerical expressions here :

https://brainly.com/question/29199574

PLEASE HELP IM TIMED

Answers

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Because it's common sense

Please help with this I will give brainliest

Answers

Answer:

2

Step-by-step explanation:

Subsitute Y in the equation. (6)^2-5(6)-4. 36-30-4=2

what is the approximate area of a circular pond that has a radius of 35 meters?​

Answers

A=r^ 2 * pi=35^ 2 *3.14=3846.5m

[tex]x^{2} \geq \pi \alpha[/tex]

Answers

Answer:

x≥√πax≥πa or x ≤−√πa

Step-by-step explanation:

Some of the steps in Liam solution to 3. 5 (1.25x + 0.5) = 10.5 are shown complete the boxes with reasons for lines 2 and 4 of Liam solution

Answers

Answer:

x = 2

Step-by-step explanation:

Given the equation;

3. 5 (1.25x + 0.5) = 10.5

Open the parenthesis

3.5(1.25x) + 3.5(0.5) =10.5

4.375x + 1.75 = 10.5

4.375x + 1.75 -1.75= 10.5-1.75

4.375x = 8.75

Divide both sides by 4.375

4.375x/4.375 = 8.75/4.375

x = 2

Hence the solution to the equation is 2

Answers

Answer:

there's no question...

What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85

Answers

Answer:

0.55

Step-by-step explanation:

all you do is subtract

A block of ice in the form of a cube has one edge 10 feet long. It is melting uniformly so that its dimensions decrease at a rate of 1/10 fps (feet per second). At what rate is the volume of the block changing when the edge is 5 feet long?

Answers

Answer:

-7.5 ft^3/sec

OR

Volume is decreasing at the rate of 7.5 ft^3/sec

Step-by-step explanation:

Side of cube = 10 feet

Rate of decreasing of side of cube = [tex]\frac{1}{10}\ feet/sec[/tex]

OR

Rate of change of side of cube = [tex]-\frac{1}{10}\ feet/sec[/tex]

To find:

Rate of change in volume when the edge is 5 feet long = ?

Solution:

Volume of a cone is given by:

[tex]V =Side^3[/tex]

If side is [tex]a[/tex] units, then Volume can be written as:

[tex]V =a^3[/tex]

Differentiating w.r.to time:

[tex]\dfrac{dV}{dt} = 3a^2\dfrac{da}{dt}\\\Rightarrow \dfrac{dV}{dt} = 3\times 5^2(-\frac{1}{10})\\\Rightarrow \dfrac{dV}{dt} = -7.5 ft^3/sec[/tex]

Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec

Meghann is reading a 630- page book. She reads 18 pages each day. Write and solve a division equation to find the number of days, d, it will take Meghann to finish her book.

Answers

Answer:630/18=d

35=d

It will take Meghan 35 days to finish her 630 page book.

Step-by-step explanation:

determine the intersepts ​

Answers

Answer:

Step-by-step explanation:

y = (0,-10)

x = (3,0)

hope this helped

The y-intercept is located at (0, -10).

The y-intercept is the value of y when x = 0. This point can be found on the y-axis.

The x-intercept is located at (3,0).

The x-intercept is the value of x when y = 0. The point(s) can be found on the x-axis.

Hamid has gained weight.
He now weighs 88 kg, which is 10% higher than his normal weight.
What is Hamid's normal weight?

Answers

Answer:

80 KG :)

Step-by-step explanation:

Identify the independent and dependent variables.

A certain movie earns $1200 for each screen it is shown on.

PLZ HELP!!!!!!!

Answers

Answer:

Step-by-step explanation:

Step one:

given data

we are told you earn $1200

the linear function for the cost is expressed as

y=1200x-----------------1

Step two:

We want to bring out the following information

Independent: The number of screens which is x

Dependent: The total revenue which is y

Function: y=1200x

What is a dependent variable?

This is a variable that rely on the value of other terms

What is a independent variable?

this is a variable that does not rely on other terns

Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought? 49 + 28 = 4 (7 + 7) 49 + 28 = (7) (7) + (14) (2) 49 + 28 = (7) (14) + (7) (7) 49 + 28 = 7 (7 + 4) plz i need help

Answers

Answer:

I don't know the answer bro but please follow me bro

5.
Which of these scales are equivalent to 3 inches to 1 yard? Select all that apply.
A.1 inch to 1 foot
B.
6 inches to 9 feet
C.
1 inch to yard
D
1 inch to 12 inches




Please help

Answers

A and D because it is basically saying 3:36 so when you simplify it comes down to 1:12
It’s lowkey A i think

the recommended weight of an adult beagle is at least 18 pounds but no more than 30 pounds. Of a beagle puppy is currently 8 pounds, what is the recommended pounds the puppy should gain by the time it is an adult?

Answers

Answer:

The recommended weight of the puppy should be equal to or more than 18 pounds but less than 30 pounds. It can be seen as the inequality below too:

[tex]18 \leq x <30[/tex]

X representing the pounds of an adult beagle.

Hope this helps!

- Kay

The price of a set of feeding bowls for dogs had been $9.25, but was
increased to $11.10. What was the percent increase?

Answers

Answer:

Step-by-step explanation:

20% increase lol

PLEASE HELP! NO ONE WANTS TO HELP ME :( the person who would help me is the nicest.

Answers

1. 9/13

2 . 45/2 =  22  1/2

3.  9

4. 45/8 = 5 5/8  

Answer: The one of the top right has the greatest value.

Explanation: Well, I see on the right side it allows you to use a calculator, so just use one.

The one on the top left is 2 and 1/4.

The one of the top right is 22 and 1/2.

The one on the bottom left is 9.

The one on the bottom right is 5 and 5/8.

The one on the top right (22 and 1/2) has the greatest value.

Complex fractions can be written as______problems.

Answers

Answer:

All complex fractions can be re-written as division problems.

Step-by-step explanation:

How to round 106.327 to nearest hundredths explain

Answers

Answer:

106.33

Step-by-step explanation:

after decimal you have .3 tenths 2 hundredths 7 thousandths

to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up

106.327 is rounded to 106.33

Answer:

your answer is 106.3

Step-by-step explanation: so first you do this

[tex]106.327\\3 =tenths\\2= hundredths[/tex]

so when you round  if it is 5 or above you round up if it is 4 or below leave it alone

so the final answer is 106.3

when you round the 27 is removed and this is what you have left.

Interest on an investment is considered what

Answers

Answer:

investment interest expense is any amount of interest that is paid on loan proceeds used to purchase investments or securities. Investment interest expenses include margin interest used to leverage securities in a brokerage account and interest on a loan used to buy property held for investment

Louis age is three years more than twice the age of Sánchez . The sum of their ages is 39. How old are Sánchez and Louis ?

Answers

Answer:

39 divided by 3 = 13+3=16 therefore Louis is 16 and sanchez i

Step-by-step explanation:

s going to be 23 years of age. Because 39-16=23

Answer: Louis is 27 yrs old and Sanchez is 12 yrs old

Step-by-step explanation:

Sanchez is 12 yrs old

Louis is "twice" the age of sanchez (24) yrs old plus 3 years= (27)years old

Now add 27+12 =39 yrs in total

718.012 in expanded form and written form

Answers

seven hundred and eight-teen and twelve thousandths

Answer:

Expanded Form BelowWritten Form Below

Step-by-step explanation:

Expanded Form = 700 + 10 + 8 + 0.01 + 0.002

Written Form = Seven-Hundred Eighteen, Point Twelve-Hundredths

Hope this helps! <3

Express 14 : 44 in the lowest term.

Answers

Answer:

7:22

Step-by-step explanation:

What is the range of possible values for x?

Answers

The range of possible value for x is  3/2< x <24 , using properties of angle and sides.

How sides and angles are related ?

Side opposite to larger angle is always larger than other.

Here,

In  ΔBCE and ΔCED

BE=DE

CE=EC

AND BC>CD

So, from above statement, ∠BEC > ∠CED

then,

45 > 2x - 3

48 > 2x

24 > x  or  x < 24

And, angle is always greater than 0

So, 2x - 3 > 0

      2x > 3

      x > 3/2.

So, option 3rd is correct.

Learn more about angle and side from given link:

https://brainly.com/question/27758960

#SPJ1

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