Can someone help me? Write a rule for nth term of the arithmetic sequence with a1=7 and the common difference is 3

Answers

Answer 1

Answer:

[tex]a_n=3n+4[/tex]

Step-by-step explanation:

If the common difference is d=3 and the first term is a₁=7, then we can create an arithmetic sequence:

[tex]a_n=a_1+(n-1)d\\a_n=7+(n-1)(3)\\a_n=7+3n-3\\a_n=3n+4[/tex]


Related Questions

Beth bought x pounds of grapes. Mary bought 4/9 less than that

Answers

Answer:

[tex]\frac{5x}{9}[/tex]

Step-by-step explanation:

Mary bought: x - [tex]\frac{4}{9}[/tex]x = [tex]\frac{5x}{9}[/tex]

what is this 12 x ? = 5

Answers

The answer is: x= 5/12 or x=0.416

0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Helppppppp me with question 5 Tuesday pleaseeeeee

Answers

Answer:

n=19

Step-by-step explanation:

5+14=n

19=n

A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.

Answers

Answer:

20%

Step-by-step explanation:

Subtract the original number from the new number: 90-75=15

The increase is 15

Now divide the increase by the original number: 15/75=.20

Then multiply your answer by 100: .20x100=20

cuántos galones estadounidensesb se necesitan para llenar un depósito que mide 24 in de ancho 27 in de largo y 18 in de alto? ​

Answers

Answer:

se necesitan aprox 50 galones para llenarlo por completo

The difference of two numbers is 2 their sum is 22 what are the numbers

Answers

12+10=22

12-10=22

is the two numbers whose sum is 22 and difference is 2.


A garment Stroe bought so shirts cut the rate of
400 per shirts and sold them at a loss of
1600 Find S.p?
Sop=20000

Answers

Answer:

the selling price is 18,400

Step-by-step explanation:

The computation of selling price is shown below:

Given that

The cost price of the shirts is 20,000

And, there is a loss of 1,600

So, the selling price is

= 20,000 - 1.600

= 18,400

hence, the selling price is 18,400

Help me plsssssssssssssssssssssss

Answers

estimated difference: 83
actual difference: 81.91

find the value of x and round to the nearest tenth (geometry)

Answers

Answer and Step-by-step explanation:

Just flip the triangle upside down, to make it look more sense.

   (Angle) 17

    |\

x   |  \ 47

    |__\

We will use the sine trig function to solve for x.

sin(17) = [tex]\frac{x}{47}[/tex]

Multiply by 47 to both sides.

47(sin(17)) = x

Now input into a calculator and solve.

x = 13.74147012

x ≈ 13.7 is the answer.

Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?

A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb

Answers

Answer:

5

Step-by-step explanation:

20÷4=5

Solve for X please show your work

6(x-4)=12

Answers

6*(x-4)=12

6x-24=12
+24 +24

6x=36

^divide both sides by six

x=6

1/2(m - 3) = 1/4(m - 7)
I
Solve

Answers

½m - ³/₂ = ¹/₄m - ⁷/₄

½m - ¹/₄ m = -⁷/₄ + ³/₂

¹/₄ m = -¹/₄

M=-1

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?

Answers

I got the answer Antonio had a head start of 3 meters.

Answer: i just did a quiz with this question and the answer is antonio had a head start of 3 meters.

Step-by-step explanation: hope this helped! thx for the points :D

Need help............

Answers

Answer:

i would say C

Step-by-step explanation:

An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)


A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.


a

11,375 feet


b

12,633 feet


c

14,862 feet


d

15,307 feet

Answers

Answer:

12,633 feet

Step-by-step explanation:

The horizontal distance between the observer and the bird's nest is

b. 12,633 feet

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.

The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.

∴ , cos = adjecen/hypotenuse.

cos42° = adjacent/17000.

adjacent = 17000×cos42°.

adjacent = 17000×0.743.

adjacent = 12631 feet.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ2

Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD

Answers

Answer: a, b, and c

Step-by-step explanation:

Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.

What is a polynomial graph equation?

At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.

Determine the polynomial functions' zeros' even and odd multiplicities.

Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.

For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.

Given the data,

Let A, B, C, and D represent the graph.

Currently, the graphs' measurements are

A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.

Hence, it has a negative coefficient.

The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.

The third graph is a linear one that is now tilted downward.

Thus, it has a low efficiency.

Hence , the graphs are solved

Go here for additional information on polynomial graph equations.

https://brainly.com/question/16957172

#SPJ7

What is the solution to the equation 37x = 9x + 4?

-7

-1/7

1/7

7

Answers

37x = 9x + 4

37x - 9x = 4

28x = 4


x = 7

Answer: The solution is C. 1/7.

Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.

6.
The distance from London to New York is 3456 miles.
A plane takes 8 hours to fly from London to New York.
Work out the average speed of the plane.
Di

Answers

Answer:

3456/8 = 432

432 miles per hour

Step-by-step explanation:

Anybody gets this question ???

Answers

Answer:

7

Step-by-step explanation:

Can I have Brainliest please?

Where would the shape be located after a translation of 5 units to the right?

A. Quadrant 3

B. Quadrant 2

C. Quadrant 1

Answers

Answer:

It the shape would be in quadrant 1

Answer: Quadrant 1 I think

Step-by-step explanation:

15-3x=-6 what is the answer​

Answers

Answer:

x=7

Step-by-step explanation:

find the highest common factor using prime factorization for 27y and 54y³

Answers

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

72 is the result of x-20%

Help please--the way that I thought of solving this is not what the book says the answer is​

Answers

Answer:

The original cost was $90.

Step-by-step explanation:

"Judy bought a coat at the office of $72, which is 20% off the original price. what was the original cost of the coat?"

Your equation contains an error that will lead to an incorrect answer.

This is the correct way to write the equation.

We don't know the original price, so we let x = the original price.

The discount was 20% off the original price, so the discount is 20% of x.

20% of x is the same as 20% * x = 0.2x. The discount is 0.2x. We now subtract the discount from the original price.

x - 0.2x

She paid the discounted price of x - 0.2x. We are told that amount is $72, so we let our expression of the discounted price equal the discounted price we are told she paid.

x - 0.2x = 72

Now we solve for x, the original price.

x - 0.2x = 72

Combine like terms on the left side.

0.8x = 72

Divide both sides by 0.8

0.8x/0.8 = 72/0.8

x = 90

Answer: The original cost was $90.

P.S.

You must be careful when writing the equation. What you wrote was

x - 20%

on the left side. Notice that 20% is simply equal to 0.2; it is not 20% of the original price. By writing

x - 20% = 72

you are in fact writing

x - 0.2 = 72

meaning that the discount was $0.20

A discount of 20% on $90 is really $18, not $0.20.

There is a big difference there.

If you have any questions, just ask in the comments.

Which one of the following examples represent a repeating decimal?

Answers

Answer:

C. 0.777777

Step-by-step explanation:

y/-2 = -34
giving brain.

Answers

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

Which statement is not true? Help ASAP! Thanks!!

Answers

Answer:

4 option...... .......

4 because it’s 4 lol so yea

Find the length of AB

Answers

Answer:

69

Step-by-step explanation:

Simplify n ⋅ n⋅ 2n
someone please help thanks

Answers

Answer:

the answer would be:

[tex]2n^3[/tex]

Hope that helps! :)

Step-by-step explanation:

What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches

Answers

Answer:

V≈166.67

Step-by-step explanation:

V=ABh

3=100·5

3≈166.66667

Answer:

166 2/3

Step-by-step explanation:

The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.

Translate the sentence into an equation.
Six more than the product of a number and 3 is 2

Answers

Answer:

3X+6=3

Step-by-step explanation:

six more can added before or after of the product of a number X and 3. substitute is by =

3x×6=3

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