Find an
explicit formula for the arithmetic sequence 37, 74, 111, 148, ....
Note: the first term should be a(1).

Answers

Answer 1

Answer:

Step-by-step explanation:

a₁ = 37

a₂ = 74

Common difference d = a₂ - a₁ = 37

nth term = a₁ + (n-1)d

= 37 + (n-1)37

= 37n

Answer 2

Answer:

Below in bold.

Step-by-step explanation:

The common difference is 74-37 = 37.

nth term a(n) = a1 + (n - 1)d

= 37 + 37(n - 1)

= 37n.


Related Questions

What is
2 x 9 x 9 x 9 x 2 x 9
In index notation

Answers

Answer:729 with a power of 36

Step-by-step explanation:index notation is basically a power a power is a number such as 2x9x9x9x2x9=26244 And 729 with a power of 36 is adding 729 ,36 times.or you can just multiply 729 times 36 the easy way. Hope this helped and can I get brainliest plss.

David bought a bicycle for $75.00. If he sold it for 20% of the original price, how
much did he sell it for?

Answers

Answer:

$15

Step-by-step explanation:

75.00(0.20) = $15

Which is a simplified form of the expression -9(y + 1) + 5y?

Answers

Answer:

Your answer is -4y - 9

Step-by-step explanation:

Simplify the expression.

~Brainiliest please~

What is the slope of the line that passes through the points (6, 4) and (3, 8)?

-4/3

-3/4

3/4

4/3

Answers

Slope: (y2-y1)/(x2-x1)
(8-4)/(3-6) = 4/-3
The slope is -4/3

Laura borrowed $490 at 11% for 6 years. what was the total interest?

Answers

Answer:

$323.4

Step-by-step explanation:

I = Prt

I = (490)(0.11)(6)

I = 323.4

Answer:

$323.40

Step-by-step explanation:

what does BD equal to?​

Answers

Answer:

Step-by-step explanation:

[tex]tan\theta =16/20\\ \\ \theta=arctan(4/5)\\ \\ tan(90-\theta )=BD/20\\ \\ BD=20tan(90-\theta )\\ \\ BD=20tan(90-arctan(4/5))\\ \\ BD=20[/tex]

A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no further deposits or withdrawals, what is the balance in the account after 3 years?

Answers

Answer:

251.817012

Step-by-step explanation:

1. Write out equation to get 100(1.08)^n*4

2.  Use 3 for n

3. Simplify to get 100(1.08)^12

4. Solve to get 251.817012

Pleasee help me...

Terri has a balance of $795 on his credit card. He is currently making monthly credit card payments of $20 a month. What will happen if he increases the amount he is paying by $18 a month?

A. It will take him less time to repay the loan
B. It will take him longer to repay the loan
C. The interest rate will decrease
D. The interest rate will increase

Answers

Answer:

D is the answer

Step-by-step explanation:

Mark brianliest pls

Helpppppppppp meeee please

Answers

Answer:

<2 and <8

<3 and <5

Step-by-step explanation:

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

This is my 100th question answered!

write a linear eqaution for the point (3,-5) and slope=-4

Answers

Answer:

y = -4x + 7

Step-by-step explanation:

on a map 2.5 inch represents 16 miles. if the distance between two cities on the map is 8.75 inches, how far apart are the cities. and pls show work

Answers

Edit it and it was ok with it and I don’t know why I was there to see the new version of this game so it could

Answer:

56 miles

Step-by-step explanation:

8.75 ÷ 2.5

= 3.5

16 × 3.5

= 56

the cities are 56 miles apart

what is the measure of the angle

Answers

Answer:

70

Step-by-step explanation:

all angles that are triangles= to 180 so 180-110=70

find the area of each composite figure​

Answers

Answer:

48 times 14

Step-by-step explanation:

mike pays $26 for 10 baseball tickets. if he wants to buy 30 baseball tickets, how much will he pay?

Answers

26/10 = 2.60 .... 2.60 x 30 = 78. So 78 is the answer

please help due pretty soon​

Answers

Answer:

A

Step-by-step explanation:

just trust me I know what I'm talking about

How many solutions?
3(x + 4) = 3x + 12

Answers

Answer:

Step-by-step explanation:

First we must distribute the multiplier 3 over x + 4, obtaining 3x + 12.

We then have 3x + 12 = 3x + 12, or 12 = 12.  This is always true; the given equation has an infinite number of solutions.

Find the product.
(2x^2 - 4x + 1)(5x-7)

10x^3 - 34x^2 + 33x - 7
7x^3 - 20x^2 + 33x - 7
10x^3 - 6x^2 - 23x - 7
10x^3 + 6x^2 - 20x-7

Answers

the answer is the first one
10x^3 - 34x^2 + 33x -7
Hopes this helps:

Answer: A. 10x^3 - 34x^2 + 33x - 7

the one wirh my mouse over js 55

Answers

Answer:

55 is the answer

Step-by-step explanation:

180-76-49= 55 !!!!!

Answer:

55°

Step-by-step explanation:

Please help me. Pleaseeeeeeee

Answers

Answer:

Step-by-step explanation:

To solve for the measure of Angle N with the given side lengths, you need to find the inverse tangent (tan^-1). You use the tangent because you have the opposite and adjacent side lengths of the angle.

The step by step solution:

tan(<N)=1.7/6.7

<N=tan(^-1)1.7/6.7

<N=14 degrees

The more of his coworkers who attend the picnic, the more veggie burgers he will prepare. Which of the variables is independent and which is dependent?

Answers

Answer:

The dependent variable is burgers and independent variable is coworkers.

Step-by-step explanation:

Given: The more of his coworkers who attend the picnic, the more veggie burgers he will prepare.

To find: dependent and independent variables

Solution:

The value of the independent variable remains unaffected with changes in other variables.

The value of the dependent variable depends on the value of the independent variable.

Here,

The dependent variable is burgers and the independent variable is coworkers.

(number of burgers depend on the number of coworkers)

Parking at a large university has become a very big problem. University administrators are interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 250 students and carefully recorded their parking times. The university is interested in using the information from the sample of 250 students collected to learn information about the entire student parking population. Would this be an application of descriptive or inferential statistics

Answers

Answer:

Inferential statistic

Step-by-step explanation:

The art of making deductions or data driven predictions from statistical data refers to an aspect of statistics called Inferential statistics. Inferential statistics differs from descriptive statistics which is another aspect which focuses on presenting characteristics of data. Here, we make statistical deductions about the entire population from the results obtained about the sample statistic. In the scenario above, the statistic derived from the sample data will be used to make deductions about the general population of students who park in the university. Therefore, from the statistic obstaied from the sample, we infer about the population.

Use the Pythagorean theorem to find the unknown side of the right
triangle.
15
20
Helppppp

Answers

Answer:

25 units

Step-by-step explanation:

H^2= S1^2 + S2^2

= 15^2 + 20^2

=225 + 400

= 625

= square root of 625

= 25 units

Somw help please! And can you give me the correct answer ..

Answers

Answer:

X=5

Step-by-step explanation:

[tex]12x + 19 + 22x - 9 = 180[/tex]

[tex]12x + 22x = 180 - 19 + 9[/tex]

[tex] \frac{34x}{34} = \frac{170}{34} [/tex]

[tex]x = 5[/tex]

hope it helps....

A figure has vertices A = (0, 0), B = (1, 3), C = (0, 4), and D = (-1, 1). Which of the following is the MOST precise classification for figure ABCD?

Answers

Answer:

Parallelogram

Step-by-step explanation:

The sides match up

The most precise classification for figure ABCD will be a parallelogram.

What is the quadrilateral?

The definition of a quadrilateral is a planar form with four sides, four vertices, and four angles. Concave and convex are the two primary kinds.

Type of quadrilateral are:

Trapezoid.Rectangle.Parallelogram.Rhombus.Square.Kite.

A figure has vertices A = (0, 0), B = (1, 3), C = (0, 4), and D = (-1, 1).

The distance between AB is given as,

AB = √[(1 - 0)² + (3 - 0)²]

AB = √10 units

The distance between AD is given as,

AD = √[(-1 - 0)² + (1 - 0)²]

AD = √2 units

The measure of the adjacent sides is not equal. Then the MOST precise classification for figure ABCD will be a parallelogram.

More about the quadrilateral link is given below.

https://brainly.com/question/29934291

#SPJ3

In the picture, the "3" is called...

Answers

Answer:

The radical sign

Step-by-step explanation:

In the picture 3 is called the radical sign. So option 3 is correct.

-3(6v-3w-5)

HELP!! the subject i am on it really confusing

Answers

Answer: -18v+9w+15

Step-by-step explanation:

1. -3(6v)-3(-3w)-3(-5)

2.-18v+9w+15

23/50 simplified in fraction form

Answers

it’s already simplified ig

The simplified fraction is 23/50.

We have,

To simplify the fraction 23/50, find the greatest common divisor (GCD) of the numerator (23) and the denominator (50), and then divide both the numerator and the denominator by the GCD.

The GCD of 23 and 50 is 1, as they have no common factors other than 1.

Now, divide both the numerator and the denominator by 1:

23 ÷ 1 = 23

50 ÷ 1 = 50

Thus,

The simplified fraction is 23/50.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ6


9. Bianca is hosting a dinner party for 10 people. The main course's recipe states
that 400 g of sausage and 500 g of dry pasta is enough for four people.
a) How much sausage will she need?
b) How much pasta will she need?​

Answers

Answer:

a) 1000 grams

b) 1250 grams

Step-by-step explanation:

Find out how much grams of sausage and dry pasta she needs for each person.

4 people = 400 g

1 person = 400 ÷ 4 = 100 g (sausage)

4 people = 500 g

1 person = 500 ÷ 4 = 125 g (dry pasta)

Find out how much grams of sausage and dry pasta is needed for 10 people.

10 person = 100 x 10 = 1000g (sausage)

10 person = 125 x 10 = 1250g (dry pasta)

Kimberly wants to get a backpack that cost $35 it is now on sale for 15% off she has to pay 7.5% sales tax what is the sales price of the backpack

Answers

Answer:

$44.26

Step-by-step explanation:

The computation of the sales price is shown below:

Its cost is $35

There is a sale off i.e. 15% off

And, the sales tax rate is 7.5%

SO, the sale price is

= $35 × 100 ÷ 85 + ($35 × 100 ÷ 85) × 7.5%

= $41.17 + $41.17 × 7.5%

= $41.17 + $3.09

= $44.26

Hence, the sales price is $44.26

In 6 months, the membership of the fitness company went from 3500 to 4200. What was the percent of increase in the membership

Answers

Answer:

20% increased

Step-by-step explanation:

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