in a sequence of numbers, a3=3, a4=7, a5=11, a6=15, and a7=19. based on this information, which equation can be used to find the nth term in the sequence, an?​

Answers

Answer 1

Answer:

Step-by-step explanation:

sequence is a1,a2,a3,a4,a5,a6,a7,...

or a1,a2,3,7,11,15,...

d=a4-a3=7-3=4

a3=a1+(3-1)d

3=a1+2d

3=a1+2×4

a1=3-8=-5

an=a1+(n-1)d

an=-5+(n-1)4

an=-5+4n-4

an=-9+4n


Related Questions

Determine if each of the numbers below is a solution to the inequality 3x-2<2-2x. SHOW ALL OF YOUR WORK

a. 2

b. 1/2

c. -3

d. 2/3

Answers

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

Solve by completing the square. x^2-10x-5=28

Answers

Answer:

Hey THERE

x=5+√58 or x=5−√58 is the answer

Step-by-step explanation:

x2−10x−5=28

Answer: look at the picture

Step-by-step explanation: hope this help :)

(07.02)

What is the value of x in the equation 3(2x + 8) = 0? (4 points)

−8

8

4

−4

Answers

Answer:

your answer is D-4

Step-by-step explanation:

3(2x+8)=0

Step 1: Simplify both sides of the equation.

3(2x+8)=0

(3)(2x)+(3)(8)=0(Distribute)

6x+24=0

Step 2: Subtract 24 from both sides.

6x+24−24=0−24

6x=−24

Step 3: Divide both sides by 6.

6x

6

=

−24

6

x=−4

Hope this helped.

Felicity’s dog eats no more than two cups of dog food per day. Felicity’s dog eats at least one-quarter cup more than one-half of the amount Martin’s dog eats. If the amount of food that Martin’s dog eats is represented by using m, which inequality represents the situation?
2 greater-than-or-equal-to one-half m + one-fourth
2 less-than-or-equal-to one-half m + one-fourth
2 + one-fourth greater-than one-half m
2 minus one-fourth greater-than one-half m

Answers

Answer:

2>_1/2m+1/4

Step-by-step explanation:

u

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

What is inequality?

The mathematical expressions in which both sides are not equal are called inequalities. In inequality, unlike in equations, we compare two values. The equal to sign in between is replaced by less than, greater than or not equal to sign. Olivia is selected in the 12U Softball.


Given:

Felicity's dog eats no more than two cups of dog food per day.

Felicity's dog eats at least one-quarter cup more than one-half of the amount Martin's dog eats.

The amount of food that Martin's dog eats is represented by using [tex]m[/tex]

To find: the inequality that represents the situation

Solution:

Amount of food that Martin's dog eats = [tex]m[/tex]

Amount of food that Felicity's dog eats ≤ 2

Also,

Amount of food that Felicity's dog eats ≥  [tex]\frac{1}{4}+\frac{m}{2}[/tex]

Therefore,

[tex]\frac{1}{4}+\frac{m}{2}[/tex]  ≤ Amount of food that Felicity's dog eats ≤ 2

let [tex]x[/tex] denotes amount of food that Felicity's dog eats.

[tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

Hence,  [tex]\frac{1}{4}+\frac{m}{2}[/tex] ≤ [tex]x[/tex] ≤ 2

[tex]x[/tex]  denotes amount of food that Felicity's dog eats.

Learn more about Inequality:

https://brainly.com/question/20383699

#SPJ2

What's 1/-9 in decimal form

Answers

-11.1111111111 is the answer

Guided Practice


Determine whether the function rule models discrete data, continuous data, or neither.


A hardware store sells bolts for $.35 apiece. The function C(p) = 0.35p relates the total cost of the bolts to the number p purchased.


A.
neither


B.
continuous data


C.
discrete data

Answers

Answer:

C.

discrete data

Step-by-step explanation:

The given function is:

                                                  C(p) = 0.95p

Where p represents the number of bolts purchased. We can calculate the cost based on the number of bolts purchased.

An important distinction between discrete and continuous data is that the continuous data is measured while discrete data is calculated or counted. Since we are obtaining the data by calculation, it must be discrete data.

The function can take on only specific values. For example for p=0, C is 0 and for p=1 the value of C is 0.95. The function cannot take any value in between 0 and 0.95. This is a characteristic of discrete function. A continuous function can take all possible values in an interval.  

Therefore, the answer to this question is: The Function models discrete data.

Could someone explain how to do this, I have no idea how...

Answers

Answer:

2a²

Step-by-step explanation:

Pair 'like' terms with 'like' terms, ie numbers go with numbers, and 'a's go with 'a's.

Lets deal with the top of the fraction first:

4ax3a³

Rearrange it so you have numbers beside numbers and 'a's beside 'a's:

(4x3)x(axa³)

12x(a⁴) (because nᵃxnᵇ=nᵃ⁺ᵇ)

12a⁴

Now, instead of (4ax3a³)/6a², we have 12a⁴/6a²

First divide the numbers: 12/6 =2

Now divide the 'a' parts: a⁴/a²=a² (because nᵃ/nᵇ=nᵃ⁻ᵇ)

Now we have 2a²

-2.2f + 0.2f - 11 - 3 =

Answers

Answer:

-2f-14

Step-by-step explanation:

Answer:

-2f-14 is your answer pls give brainlist

Step-by-step explanation:

MANUFACTURING. The number of cars built varies
directly as the number of hours the production line
operates. What is the ratio of cars built to hours of
production? At this rate, how many cars can they
build in 5 hours?

Answers

Answer:

60 cars per hour

Step-by-step explanation:

You are offered two different sales jobs. The first company offers a straight commission of 8% of the sales. The second company offers a salary of $ 500 per week plus 3% of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good

Answers

Answer:

You would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Step-by-step explanation:

From the information provided, you can find how much you would have to sell in a week in order for the straight commission offer to be at least as good by establishing an equation in which the amount earned in the first company is equal to the amount earned in the second company:

0.08x=500+0.03x, where x is the amount of sales

Now, you can solve for x:

0.08x-0.03x=500

0.05x=500

x=500/0.05

x=10,000

According to this, the answer is that you would have to sell 10,000 in a week for the straight commission offer to be at least as good.

Angles A and B are adjacent angles and are supplementary. The measure of ∠A is (3x+10)∘, and the measure of ∠B is (12x+35)∘.

Write an equation that can be used to determine the value of x.
Enter the correct answer in the box.

Answers

Answer:

180=12x+35+3x+10 or 180=15x+45

Step-by-step explanation:

supplementary means that they will add up to equal 180.

Help meee plssssssssssss

Answers

Answer:

acute

Step-by-step explanation:

WILL MARK YOU BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

2(5) + 5 = 15

Which of the following constants can be added to x ^2 - x to form a perfect square trinomial?
1/4
1/2
1

urgent

Answers

Answer:

Its 1/4 boys dont worry i got you

Step-by-step explanation:

Evaluate
h(x) = 17+ x/6
H(-18)=

Answers

the answer is 14

-18/6 is -3. add that to 17 and you get 14.

(a - ab) / a² ÷ a - 1 / a³

Answers

Answer:

Image below. :)

Explanation:

Can somebody pls help me out wit dis

Answers

Answer:

i can't see it

Step-by-step explanation:

Answer:

a. x is equal to the number of sweat shirts made

b. $1100 is I think the base cost it takes to produce shirts

c. x=30

d. $5845

hope I helped.

Step-by-step explanation:

a. context

b. if x=the number of sweat shirts made then 65×x means that it costs $65 to produce one shirt and in that case to make any shirts it would cost $1100 to get the process set up so that they can make the shirts.

c. if c(x)=3050 then that means that that is the total cost to make all the shirts they made at that time. We know x is the number of shirts and because of that we want to solve for x. to do that we need to isolate x, the first step would be to take 3050 and sub that into the first equation

3050=1100+65x

subtract 1100 from both sides

3050-1100=65x

1950=65x

divide both sides by 65

1950÷65=x

simplify

30=x

d. you take the equation at the top c(x)=1100+65x and sub in 73 for x.

1100+(65×73)

simplify

1100+4745=5845

plz answer all of them

Answers

Answer:

ace

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution in the picture

A total of 14 participants have entered an art competition.
How many ways can 1st place through 3rd place prizes be awarded?
Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

14(13)12=2184

the original price of a pair of sneakers is $89.00 the store advertizes a sale for 15% off what is the sale price for the sneakers

Answers

Answer:

$75.65

Step-by-step explanation:

$89 x .15 = $13.35

$89 -  $13.35  = $75.65

Destiny read
1
2
of a book in the morning, and she read some more at night. By the end of the day, she still had
1
3
of the book left to read. How much of the book did Destiny read at night?

Answers

Answer:

1/6 on the book

Step-by-step explanation:

1/2 = 3/6 and 1/3 = 2/6.

How to represent 3/4 in a number line

Answers

Answer:

make it a decimal then with that decimal put it on a number line

Step-by-step explanation:

Answer:

you would get .75 from making it a decimal, so make a decimal number-line from .7 to .8 from exactly between the .8 and .7 remember the .8 will be at the end of the number line and the .7 will be at the start make 10 tick marks and mark it exactly in the middle because it's 5 after the .75

Step-by-step explanation:

start of the numberline .7                                       .750

end of the numberline .8 wanna see how? look. .800

(zeros after the decimal number dont matter but im showing you that the eight is bigger) I'm trying to show you that .8 is bigger. Obviously the .8 is bigger.

HELP PLEASE DUE TODAY

Answers

1 A. 5

1 B. 12.9

2. For this one, u can write any number less than 4.7, which could be 3, 2, -100, 1.21, etc.

3. For this one, u can write any number greater than (positive!) 2.6, such as 10, 30, 3.1415, etc.

hope this helps!

A basketball league awards 2 points for a win and 1 point for a tie. One team has four more wins than ties and has earned 32 points. How many games has the team won?

Answers

Answer:tzs

Step-by-step explanation:

Plz someone anser

Write an equation of the line that passes through the point (4,−3) with a slope of 3/2

Answers

Answer:

point slope form---(y-0)=3/2(x-6)    y-intercept form---y=3/2x-9    standard form----   -3x+2y=-18  

Step-by-step explanation:

hope it helps   (:


Lucy uses a code to open a lock.
The code is a letter followed by a 2-digit number.
The letter is L or U.
The number is a prime number between 20 and 30
Write down all the possibilities for Lucy's code.

Answers

Answer:

L23

L29

U23

U29

Step-by-step explanation:

We have two elements for the code:

Letter: The options are L and U.

Number: A prime number between 20 and 30, the options here are:

23, 29 (These are the only two prime numbers between 20 and 30)

Then the possible combinations are:

L23

L29

U23

U29

Evaluate P(5, 3).
1. 15
2. 20
3. 60

Answers

The answer is option 3 - 60

PLS HELP THIS IS VERY URGENT!!!! i really need help on this!! I need to turn this in very soon. i would appreciate your help.
:)


#13 and 17.

Answers

Answer:

17= 2/3

13,,,a=> (5x+5) (x+3)

Step-by-step explanation:

.........................

Forgive me if wrong

Logan took out a $600 loan 2 years ago. He paid back $690. This included the original loan amount and the interest charged to him. What was the annual interest paid Logan paid? Show all work or explain in detail how you got your answer.

Answers

Answer:

$45 dollars a year i think

geometric mean of 32 and 18

Answers

Answer

Geometric mean: 24

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