8
The first term of an arithmetic sequence is 5. The third term of the sequence is 13.
Which of the following expressions represents the nth term of the sequence?
A 4n +1
B) 4n + 5
5n+1
D) 5n + 5

Answers

Answer 1

Answer:A 4n+1

Step-by-step explanation: found the answer key

Answer 2

If the first term of an arithmetic sequence is 5 and the third term of the sequence is 13 then the nth term is A) 4n +1.

What are arithmetic and geometric sequence?

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference(d).

aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, The first term of an arithmetic sequence is 5.

The third term of the sequence is 13.

As we can conclude that for 2 terms the common difference is increased by 8.

∴ Common difference (d) = 8/2 = 4.

Now, we know the nth term of an arithmetic sequence is,

aₙ = a₁ + (n - 1).d.

aₙ = 5 + (n - 1)×4.

aₙ = 5 + 4n - 4.

aₙ = 4n + 1.

learn more about arithmetic sequence here :

https://brainly.com/question/10396151

#SPJ2


Related Questions

PLEASE SOMEONE HELP ASAP
1. conjugate -5+√x
2. conjugate 7-√b
-Please give an explanation!!

Answers

Answer:

1. [tex]-5-\sqrt{x}[/tex]

2. [tex]7+\sqrt{b}[/tex]

Step-by-step explanation:

The conjugate of a radical expression

[tex]a+\sqrt{b}[/tex]

is the expression

[tex]a-\sqrt{b}[/tex]

And vice-versa.

The conjugate is mostly used to rationalize radical expressions because the expression by its conjugate produces another expression without the radicals.

The question asks to find the conjugate of:

1. [tex]-5+\sqrt{x}[/tex]

The conjugate is

[tex]-5-\sqrt{x}[/tex]

2. [tex]7-\sqrt{b}[/tex]

The conjugate is

[tex]7+\sqrt{b}[/tex]

Given h(x)= x^2-4 what is h(6)?
A.32
B.-4
C.0
D.77

Answers

The answer to it is a) 32

Answer:

A.32

Step-by-step explanation:

h(x)=x^2-4

h(6)=6^2-4

h(6)=36-4

h(6)=32

set a= {7,4, x, 8, 10, 5, 2}
if the median of set A is also its average, then what is one possible value of x?
a. 4
b. 6
c. 10
d. 16

Answers

A im definitely accurate and gl

Add or subtract rational numbers! - 12 + 6​

Answers

Answer:

-6

Step-by-step explanation:when there is a negative you whuld do 6+-12

Statement A swimming pool contains 500 gallons of water. A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. Which expression represents the amount of water in the pool, in gallons, after 8 minutes? A. 500 . 24 . 8 B. 500 + 24 + 8 C. 500 + 24 . 8 D. 500 . 248

Answers

Answer:

c. 500 + 24 * 8

Step-by-step explanation:

if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.

The expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes. The correct answer would be an option (C).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

If the swimming pool currently has 500 gallons of water in it and we are trying to add more, we would add 24 gallons of water over the course of 8 minutes.

As per the given information, the required expression would be as

500 + 24 × 8

Thus, the expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes.

Hence, the correct answer would be option (C).

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Order from least to
greatest
2/5
50%
.42 random question

Answers

Answer:

2/5, 0.42, 50%

Step-by-step explanation:

2/5 = 0.4

0.42=0.42

50% = 0.5

Answer:

Step-by-step explanation:

just switch the 50% and ,42

2/5,,42,50% hope this helps

if length of the square is 7-x and width is 19-3x then what is the value of x

Answers

7-x=19-3x
7-x-19=-3x
-x-12=-3x
-12+x=-3x+x
-12=-2x
6=x

The number -2 is a solution to which of the following inequalities?


1. x + 7 > 5
2. -3 x 10
3. x - 7 10

Answers

Answer:

it is number 1 it is number 1

I need help on this question

Answers

Answer:

a3

Step-by-step explanation:

answer one would be the correct answer-3

Pllzzzzz i need help im in a dca helppp



15. What is the value of x in the figure bellow?

Answers

Answer:

x=22.5

Step-by-step explanation:

6. Jase is cutting a board into 6 pieces. If each piece is
12 inches long, write and solve an equation to find
the length of the entire board.
I


Please help me will mark brainliest and 15 points

Answers

Answer:

6x12=72 The whole board was 72 inches long.

Step-by-step explanation:

If each piece were 12 inches and there were 6 pieces that is 6 multiplied by 12 which equals 72 inches.

NEED HELP! A line has a slope of 9/7 and a y-intercept of 1/3. Which of the following is an equation of the line?

A 27x - 21y = -7

B 27x + 21y = 1

C 9x + 7y = 3

D 7x - 9y = -3


Please show work so I could understand this!

Answers

Answer:

A

Step-by-step explanation:

Take a look at the slope-intercept form of the equation .

[tex]y=mx+c[/tex]

Slope of 9/7 and y-intercept of 1/3 means replace m which is slope and c is the y-intercept which becomes

[tex]y=\frac{9}{7}x+\frac{1}{3}[/tex]

now we take LCM of 7 and 3 which becomes

[tex]y=\frac{27x+7}{21}[/tex]

and then,

[tex]21y=27x+7[/tex]

so A is our Answer

if arrange the equation accordingly

[tex]27x-21y=-7[/tex]

If cheese costs $5.65 per pound, what will be the total cost of 2.2 pounds of cheese?​ plz help meee

Answers

The answer is $12.43

Multiply the two numbers.

3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke.

Answers

Answer:

0.0452

Step-by-step explanation:

Given that:

There are a total of 193 males in the sample.

Number of males who smoke = 27

There are a total of 169 females in the sample.

Number of females who smoke = 16

The ratio of people who smoke to the total number of people is given by the formula:

[tex]\dfrac{\text{Number of people who smoke}}{\text{Total number of people in the sample}}[/tex]

So, the ratio of males who smoke is given as:

[tex]\dfrac{27}{193}=0.1399[/tex]

And

The ratio of females who smoke is given as:

[tex]\dfrac{16}{169} = 0.0947[/tex]

The difference between the ratio is = 0.1399 - 0.0947 = 0.0452

PLEASE HELP it’s literally easy

Answers

Answer:

it would be 4 right (the last one)

Step-by-step explanation:

Jayden starts with $1575 in a college savings account. His account earns interest at a rate of 2.7% compounded annually. How much money is in the account after 9 years?

Answers

Step-by-step explanation:

2.7/100*1575=42.525

then for 9years

9*42.525=$382.725

what is b when b^2=46

Answers

Answer:

b^2 = 46

b = √46 (or 6.78 rounded)

Answer:

b≈6.78

Step-by-step explanation:

Just punch in your calculator the square root of 46.

[tex]\sqrt{46} =b[/tex]

b≈6.78

how are unit rates and equivalent ratios realted?​

Answers

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.

Step-by-step explanation:

Answer:

A unit rate is a special kind of ratio, where the second number, or the denominator, is equal to one. With a unit rate, you are comparing a quantity to one. Some common unit rates are miles per gallon, price per pound, and pay rate per hour. ... Next, divide the price by the pounds so you can find the unit rate.

Step-by-step explanation:

The perimeter of a square is 36cm
What is the area?​

Answers

Answer:

81cm²

Step-by-step explanation:

36/4=9

9×9=81

brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?

Answers

Answer:

4

Step-by-step explanation:

what is 0.0042 as a fraction in simplest form

Answers

Answer:

21/5000

Step-by-step explanation:

0.0042 takes the form of 21/5000 as a fraction.

Answer:

21/500

Step-by-step explanation:

0.0042 = 42/1000, (There is 4 digits to the right of the decimal point)

42 is an even number so, divide by 2 to simplify.

42/2 = 21 and 1000/2 = 500

21/500 is your final answer because 21 is divisible by 7 and 3 but 500 cannot be divided by either of those to get a whole number.

Hope this helps! :)

(Brainlyest would be appreciated  ;)

suppose you are organizing a party and have a budget of b dollars for the appetizers. You plan to order v vegetarian spring rolls at $0.75 each and s shrimp rolls at $0.95 each.

The equation 0.75v+0.95s=b represents this constraint.

Solve 0.75v+0.95s=b for v

When would it be most helpful to use this equation?

Answers

Answer:

v = b/0.75 - 0.95s/0.75

Or

v = (b - 0.95s) / 0.75

Step-by-step explanation:

Solve 0.75v + 0.95s = b for v

This means making v the subject of the formula

0.75v + 0.95s = b

Subtract 0.95s from both sides

0.75v + 0.95s - 0.95s = b - 0.95s

0.75v = b - 0.95s

Divide both sides by 0.75

v = (b - 0.95s) / 0.75

v = b/0.75 - 0.95s/0.75

The equation will be useful in determining the number of vegetarian

Which of these equations best describes the line of best fit for the data in the scatter plot relating time and distance?

(Answer options in the picture)​

Answers

Answer:

D

Step-by-step explanation:

The y-intercept can't be 1.7 it's too low of a number and there can't be no y-intercept in the problem because the line does meet the y-axis

Find the product of -2*(-4)*9. Describe how you use the properties of
multiplication to find the product. Is the product positive or negative?

Answers

Answer:

72

Step-by-step explanation:

-2 x -4 = 8

8 x 9 = 72

Hope this helps! Please mark Brainliest!

Answer:

72 = Positive

Step-by-step explanation:

The property we use,

→ Associative property

Now the product will be,

→ (-2 × -4) × 9

→ 8 × 9 = 72

→ -2 × (-4 × 9)

→ -2 × (-36) = 72

Then the required sign is,

→ Positive (+ve)

Hence, the product is 72.

0.7686 ÷ -0.14 can someone answer this within 1 min for five star answer

Answers

Answer:

-5.49

Good Luck!!!

Which ordered pair is the solution to the system of linear equations Negative 5 x + y = 26 and 2 x minus 7 y = 16?

Answers

9514 1404 393

Answer:

  (-6, -4)

Step-by-step explanation:

If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).

__

The first of the given equations can be solved for y, then that used to substitute for y in the second equation.

  y = 5x +26

  2x -7(5x +26) = 16

  2x -35x -182 = 16

  -198 = 33x . . . . . . . . add 33x-16

  -6 = x . . . . . . . . . . . . divide by 33

  y = 5(-6) +26 = -4 . . . find y

The solution is (x, y) = (-6, -4).

Just solve for 50 points and brainliest!

10-5=

6-4=

Answers

Answer:

10-5= 5

6-4=2

Step-by-step explanation:

subtracting

Answer:

10-5=5

6-4=2

Subtract 5 from the 10, which gets you 5.

Subtract 4 from 6, and you get 2.

on a scale, 1 inch represents 600 miles. How many miles does 3/4 represent

Answers

1800 miles is being represented if i’m not mistaking.

Solving Systems of Equations by Graphing - Scavenger Hunt

Answers

Where’s the question

ALDS championship hats are sold in boxes of 18. If the Tampa Bay Rays need 168 hats for team members and staff, how many boxes of hats would they need to order? Explain your
reasoning

Answers

Answer: 3024

Step-by-step explanation:

mutiply 18x 168

Other Questions
A student carried out an experiment to determine how different concentrations of sucrose solution will affect osmosis. The studentset up five bags of dialysis tubing with different concentrations of solutions in each one. The first one had distilled water (OM).followed by 0.25 M.0.5 M, 0.75 M, and 1.0 M sucrose solutions. These bags were placed in distilled water for thirty minutes. The bagswere then massed removed from the distilled water and massed on a scale. Revise the experiment by selecting all of the choicesbelow that would strengthen the experimental design can you solve this problem Different genes control different______ of an organism Based on this excerpt from Susan Glaspell's Trifles, what can you conclude about Mr. Wright's character? The algorithm S(A, n, i) selects all the j-th smallest elements (with j i) from an array A of n elements, by using linearselect to select each of the j-th smallest elements (with j i). Clearly, one could also implement S alternatively as T(A, n, i), which first sort A (on average-case and on worstcase, the sorting takes time O(n log n) using mergesort) and then select the first i elements. Please compare the average-case complexities of the two algorithms; i.e., For the average-case complexities, under what conditions (on the choices for i), S is better than T or vice versa Write the equation for the line that goes through (3.18) and has a slope of 2. What gas is CREATED during cellular respiration?Carbon MonoxideO Carbon DioxideWaterOxygen Amelia and her brother had a snow day, so they played in the snow for 3 hours. During that time, it snowed another 4.8 inches. If the snow fell at a steady pace, how much snow fell each hour? If the Moon had oceans would there be tides similar to what weexperience on Earth? Explain. let America be America meaning 1.Compare the hibiscus and spider lily pollen grain structure.2.Why stigma at the top of the pistil is often sticky?3.Why pollen is important in fertilization? Raw chicken breasts are left out at room temperature on a prep table. In this scenario, what is the risk that could cause a foodborne illness?Poor personal hygienetime-temperature abusecross-contaminationpoor cleaning and sanitizing What is the solution to this inequality?X10+7 > 10A. X2 27B. xs 83C. xs 27D. x2 83 17. choose the word or phrase that best completes the sentence."By the time tennis practice is over, Mother _______________ dinner."A) made B) will made C) will make D) will have made 18) What is the meaning of the word submerged as it is used in the sentence?Four days of raining caused many cars to be completely submerged.A) to move with water B) to place water inside C) to be placed above water D) to be placed under water Identify which parts of the sentence belong in the "noun" column and which belong in the "not a noun" column.Owls nested in the barn. What were the three major battles of Alexander?PLS HELPPP Find the x-intercept of the graph of the linear equation y = 2x + 4. State the solutions of the equation |x| + 2 = 4. Washington State Fisheries, Inc., processes salmon for various distributors. Two departments, processing and packaging, are involved. Data relating to tons of salmon sent to the processing department during May follow: Percent Completed Tons of Salmon Direct Materials Conversion Work-in-process inventory, May 1 1,960 80 % 70 % Work-in-Process inventory, May 31 3,340 50 % 30 % Started processing during May 8,150 Required: 1. Calculate the number of tons completed and transferred out during the month. 2. Calculate the number of equivalent units for both direct materials and conversion for the month of May, assuming that the company uses the weighted-average method. 3. How would your answer in requirement 2 change if the percentage of completion in ending inventory were as follows: direct materials 30%, conversion 40% most of the substances around us are ________compounds free atomspure elements