Write an explicit formula for the n^th term a n 13, 17, 21, 25, ...

Answers

Answer 1

The first term in our arithmetic sequence = 13

The common difference of our arithmetic sequence = 17 - 13 = 4

The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)

A = the first term

B = the common difference.

Let's plug our numbers in.

a(n) = 13 + 4(n - 1)

Let's check to make sure we're correct.

a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13

a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17

That verifies that our formula is correct.

In conclusion,

a(n) = 13 + 4(n - 1)


Related Questions

Can someone help me out pleaseeeee :(

Answers

The |*| symbols take away the negative value of a number. So |-3| is just “3”. I can explain more if needed :)

Answer:

For number 9 and 11

9. is >

11. is <

Sorry I couldn't help with the rest! Goodluck!~

What is 4 raised to the second power

Answers

Answer:

16

Step-by-step explanation:

4 x 4 = 16

4 to the second power is 4^2.

4x4=16

hope it helps!

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has cm of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answers

This question is incomplete and lacks the required diagram

Complete Question

Adam wraps the top edge of the gift box shown with gold ribbon. The top and bottom edges of the box are square. If Adam has 24 1/4 inches of gold​ ribbon, does he have enough to decorate the top of the​ box?

Answer:

Yes, he has enough ribbon to decorate the top of the box.

Step-by-step explanation:

From the above question, we are told that the volume of the box = 296cm³

Volume of the box = a³

296cm³ = a³

a = √296cm³

a = 6.6644437033cm

The side length of the box = 6.6644437033cm

The length of the ribbon = 24 1/4 inches

= 24.25 inches long.

Converting this to centimeters =

1 inch = 2.54cm

24.25 inches =

24.25 × 2.54 cm

= 61.595cm.

Length of the ribbon = 61.595cm.

Since from the above, we know the edges of the cube = square

Edge length of the box = 6.6644437033cm

The perimeter of a top of the box

= 4a

= 6.6644437033cm × 4

= 26.657774813 cm

Subtracting the perimeter of the top of the box from the length of the ribbon

61.595cm - 26.657774813 cm

= 34.937225187 cm ( ribbon left)

Therefore, he has enough ribbons left

Write an equation in slope-intercept form for the like with slope 3/4 and y-intercept -2?

Answers

Answer:

y=3/4x-2

Step-by-step explanation:

For a slope intercept for, you have the formula y=mx+b where you would place the slope in the spot of m and the y-intercept in the spot of b.

What is the slope of a line passing through points (-7,5) and (5,-3)?

Answers

We can use the given points to solve for the slope.

Slope formula: y2-y1/x2-x1

-3-5/5-(-7)

-8/12

-4/6

-2/3

Best of Luck!

find the unknown side length, x. write your answer in simplest radical form

Answers

11^2+11^2= √242

Answer is 11√2

The two triangles in the sketch below are congruent. Which sequence could transform triangle ABC to triangle DEF? A translation 7 units down followed by a rotation 180° clockwise about the origin A translation 7 units left followed by a rotation 90° clockwise about the origin A translation 7 units right followed by a rotation 180° clockwise about the origin A translation 7 units left followed by a rotation 180° clockwise about the origin

Answers

Answer:

Its A

Step-by-step explanation:

Which diagram represents a line of symmetry of the regular octagon?​

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Respuesta de -3x +12 =9

Answers

Answer:

x=1

Step-by-step explanation:

1). first combine -3+12. ( without the variable )

2). -3+12=9

3). therefore -3×1= -3

Answer:

x = 1

Step-by-step explanation:

-3x + 12 = 9

               -12    -12

-3x = -3

-3x = -3

Dividir -3 y -3

x = 1     porque -3/-3=1

Solve the equation, and check your solution.
-3/5n = -9

Answers

Answer:

-15 = n

Step-by-step explanation:

- 32x - 40
Whats the first step that I should do

Answers

Answer:

Isolate the x. Secondly, divide by -32 by both sides.

Step-by-step explanation:

what is the definition of a point?

Answers

A point is a 0-dimensional mathematical object which can be specified in -dimensional space using an n-tuple ( , , ..., ) consisting of. coordinates. In dimensions greater than or equal to two, points are sometimes considered synonymous with vectors and so points in n-dimensional space are sometimes called n-vectors.

Answer:

In modern mathematics, a point refers usually to an element of some set called a space. More specifically, in Euclidean geometry, a point is a primitive notion upon which the geometry is built, meaning that a point cannot be defined in terms of previously defined objects.

Step-by-step explanation:

Hope this helps! If it does, please mark me brainliest, and press the heart to thank me. Thank you so much, let's spread the learning! ;)

A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.

Answers

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.

solve for x in this equation below

9+3x=10

Answers

Answer:

in fraction form it is X= 1/3

in decimal form it is X= 0.3 rep.

Step-by-step explanation:

26°
58°
X
What is the measure of angle x in degrees?
a. 70°
b. 84°
C. 96°
d. 122°

Answers

Answer:

b. 84

Step-by-step explanation:

180-26-58=96

180-96=84

Really need help with #20! I'll give brainliest!

Answers

Answer: 1 year (year 15)

Step-by-step explanation:

109.5-86.0=23.5

128.4-109.5=18.90

140.8-128.4=12.4

158.7-140.8=17.9

182.1-158.7=23.4

23.5+18.9+12.4+17.9+23.4=96.10

96.10÷5=19.22

200-182.1=17.9

182.1+19.22=201.32 subs

the product of two numbers is 12

Answers

Answer:

1x12

2x6

3x4

4x3

6x3

12x1

Step-by-step explanation:

it could be 1 and 12   2 and 6   3 and 4  

Step-by-step explanation:

THe product is the answer to a multiplication equation so the numbers above are all products of 12! :D

HELP PLZZZZZZZZ HELP PLZZZZZZZZZ
Sorry I know this is a lot
THANK U FOR YOUR EFFORT

1.Write 6,730,000 in scientific notation.

2. Write 13,300 in scientific notation.

3. An ordinary quarter contains roughly 97,700,000,000,000,000,000,000 atoms. Write this number using scientific notation.

4. The distance from the Earth to the Moon is roughly 384,000 kilometers. Write this number in scientific notation

5. Write `4\cdot10^{5}` in standard notation Hint: Move the decimal 5 place

6. Write `1.8499\cdot10^{9}` in standard notation Hint: Move the decimal 9 places

7. Write `1.8499\cdot10^{9}` in standard notation Hint: Move the decimal 9 places

8. Write `6.43\cdot10^{3}` in standard notation

9. Write `8.456\cdot10^{7}`

10. Write `8\cdot10^{5}` in standard notation

11. Write `9\cdot10^{10}` in standard notation

12. Describe how you would write 3,482,000,000 in scientific notation as if you were explaining it to someone who didn't know what scientific notation was.

Example: Write 58,927 in scientific notation Hint: move the decimal 4 places.
Answer for the example: 5.8927\ times\ 10\ ^{4}

Answers

1. 6.73 x 10^6
2. 1.33 x 10^4
3.9.77 x 10^22
4. 3.84 x 10^5
The rest i didn’t understand what where you trying to say

Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:5

Step-by-step explanation:

30 chapters in 6 hours. 30/6 =5

5 chapters per hour

Divide 30 by 6 and it gives you 5
If you want to check ur answer, plug in ur answer which in this case it’s 5 and multiply it by 6, it gives you 30 chapters in 6 hours.

In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?

Answers

Answer:

Hi there!

Your answer is;

There are 50 bacteria after 3 hours

Step-by-step explanation:

After three hours, with a rate of 20% an hour, 60% should have died

20% of 125 is?

100% is 125

/100

1% is 1.25

×60

60% is 75

125-75= 50

Hope this helps

A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
39 lb
OB. 52 lb
OC 193 lb
OD. 180 lb

Answers

Answer:

OC 193 lb is correcte!

The person's weight, in pounds, when rounded to the nearest

the whole number is equal to [tex]1.9\times10^{2} pound[/tex]

We have given that, A pound is approximately 0.45 kilogram.

0.45 kg = 1 pound

Thus if 0.45 kg is equal to= 1 pound

87 kg will be equal to [tex]=\frac{1}{0.45} \times 87=1.9 \times 10^2 pound[/tex]

What are the significant digits?

The number of significant digits in an answer should be equal to the least number of significant digits in any one of the numbers being multiplied, divided, etc.

Thus the answer should contain 2 significant digits.

To learn more significant digits visit:

https://brainly.com/question/24491627

#SPJ2

On Monday, 350 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. Which equation can be used to determine, x, how many students were in each bus ?

Answers

Answer:

(350-8)/9

Step-by-step explanation:

If 8 students had to get on to a car then there would be the remainder of students on the buses. 342 students on 9 buses! Just Divide.

Name the property that is being demonstrated
8-2=-2+8
Commutative Property
Associative Property
Zero Product Property
Multiplication Property of -1
Deductive Reasoning Property

Answers

Answer:

            Commutative property

Step-by-step explanation:

The "Commutative Laws" say:  when we add we can swap numbers over and still get the same answer.

8 - 2 = (8) + (-2) = (-2) + (8) = -2 + 8

It’s commutative property, the way doesn’t matter because it is still the same answer!

Factor out gcf
16x5 – 12x3

Answers

Answer:

(16 and 5 = gcf of 1) 12 and 3 = gcf of 3

Step-by-step explanation:

divid both to find the answer

I NEED HELP ASAP PLEASEEE
Evaluate the expression for r = 5.
2r2 − 10r + 40 + 2r =

Answers

Are you looking for what the answer to the equation because that is 212

Answer:

50

Step-by-step explanation:

[tex]2( {5}^{2} - 10 \times 5 + 40 + 2 \times 5) \\ = 2(25 - 50 + 40 + 10) \\ = 50[/tex]

reflect (9, -3) across the y-axis. Then reflect the resukt across the x-axis. what are the coordinates to the final point

Answers

Answer:

(-9, 3)

Step-by-step explanation:

Reflect over y-axis: (-9, -3)

Then over x-axis: (-9, 3)

help..........me .................

Answers

Answer:

good morning foul human i cannot help you because i cant see your images if you could type them out i might have enough brain cells left to help you adios amigo

Step-by-step explanation:

()  c=3

please help ! Easy 7th grade math ! It’s talking about integers!!

Answers

the answer is -7

since it says “under par” it means that it’s in the negative area. now that we know the area that the number is in we can conclude it’s -7 :)

I NEEED THIS NOW PLS HELP ME

Answers

Answer:

56cm²

Step-by-step explanation:

To solve this question, find the area of the triangles separately and then add all the areas to find the total area of the kite.

Attached is the image of my work    

Answer:

56 cm²

Step-by-step explanation:

The area (A) of a kite is calculated as

A = [tex]\frac{1}{2}[/tex] product of the diagonals

   = [tex]\frac{1}{2}[/tex] × d₁ × d₂

d₁ = 4 + 4 = 8 and d₂ = 10 + 4 = 14

A = [tex]\frac{1}{2}[/tex] × 8 × 14 = 4 × 14 = 56 cm²

6x^2=32x+24 Need help learning factoring please put work so I can understand

Answers

Answer:

I do not sorry

Answer:

2 • (x - 6) • (3x + 2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP 1 : Equation at the end of step 1

((2•3x2) - 32x) - 24

STEP 2 : Pulling out like terms

Pull out like factors :

6x2 - 32x - 24 = 2 • (3x2 - 16x - 12)

Trying to factor by splitting the middle term

Factoring 3x2 - 16x - 12

The first term is, 3x2 its coefficient is 3 .

The middle term is, -16x its coefficient is -16 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .

-36 + 1 = -35

-18 + 2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2

3x2 - 18x + 2x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-6)

Add up the last 2 terms, pulling out common factors :

2 • (x-6)

Step-5 : Add up the four terms of step 4 :

(3x+2) • (x-6)

Which is the desired factorization

Final result : 2 • (x - 6) • (3x + 2)

Hope this helps~

Smoll mochi

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