What are the first five terms of the sequence given by the formula an = 4n + 1?

Answers

Answer 1

Answer:

5,9,13,17,21

Step-by-step explanation:

We can the values in "n"

a(1)=4(1)+1

a(1)=5

a(2)=4(2)+1

a(2)=9

a(3)=4(3)+1

a(3)=13

a(4)=4(4)+1

a(4)=17

a(5)=4(5)+1

a(5)=21

As you can see, each value consecutively increases by 4, this is also known as the common difference (d).


Related Questions

x+3x=40 what is x please

Answers

Answer:

x=10

Step-by-step explanation:

1. Combine like terms

4x=40

2. Divide 4 both sides to x alone

4x/4=40/4

x=10

Answer:

10

Step-by-step explanation:

x+3x=40

4x=40

x=40/4=10

Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, eighteen of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?

Answers

Answer:

Probability [Randomly choose plant Juan's mother want] = 3 / 5

Step-by-step explanation:

Given:

Total number of plant in store = 30 plants

Number of plant kind Juan's mother want = 18

Find:

Probability [Randomly choose plant Juan's mother want]

Computation:

Probability of an event = Number of favorable outcome / Total number of outcomes

Probability [Randomly choose plant Juan's mother want] = Number of plant kind Juan's mother want / Total number of plant in store

Probability [Randomly choose plant Juan's mother want] = 18 / 30

Probability [Randomly choose plant Juan's mother want] = 3 / 5

PLZ HELP I BEG UU !! 50 POINTS AND BRANLIEST>

Answers

Answer: 102.5

Step-by-step explanation:

Area of triangle: 8*6=48, 48/2=24

Area of semicircle: 2pir^2=2pi(5)^2=157

Because its semi circle it is 157/2 which equals 78.5

Total area:24+78.5=102.5

Answer:

102.5

Step-by-step explanation:

Semi circle = 78.54 ≈ 78.5

Using formula A = πr²

Area triangle = 24

Using formula A = 1/2(bh)

Sum = 78.5 + 24 = 102.5

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Write an equation of the line below ?

Answers

Answer:

-2/6 x -2

Step-by-step explanation:

the slope is -2/6 and y int is -2

What is an expression with a single exponent for 10^3 • 10^9

Answers

Answer:

10^12

Step-by-step explanation:


Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2. Circle B has a diameter of
approximately 60 inches.
Which of these could be the area of Circle B?

Answers

Answer:

2700 in^2

Step-by-step explanation:

30x30x3(which is how they are rounding π) = 2700 in ^2

What value of x makes the 2 triangles congruent by HL? Find the length of CB

Answers

Step-by-step explanation:

here's your solution

==> Both traingle are congruent

==> BC = BD. [ c.p.c.t ]

==> x + 8 = 3x - 14

==> x - 3x = - 14 - 8

==> - 2x = - 22

==> x = 22/2

==> x = 11

now CB = x + 8 = 11 + 8

CB = 19

hope it helps

There are 140 cars in a parking lot.Bob looks at 15 cars and finds out that 2 cars are gray-colored. Approximately how many cars in the parking lot are gray-colored?

Answers

Answer:

about 18.7

Step-by-step explanation:

Which equation can be used to solve for the value of x?

Answers

option : c. 2x + 15 = 145

cuz, the angles are vertical opposite angles

Answer:

2x + 15 = 145

Step-by-step explanation:

vertical angles are congruent

=> (2x + 15)° = 145°

21/24 x 16/24, guys plz help..

Answers

Answer:

g00gle

Step-by-step explanation:

click new tab and type in 21/24 x 16/24

answer this for points and brainilest

Answers

Answer:

e = -2

Step-by-step explanation:

Hey man, I got straight A's in math all year so here's the answer!

Good Luck! :)

Use the Law of Cosines to find a. Round answer to the nearest tenth

Answers

Answer:

Step-by-step explanation:

Which system of equations is equivalent to the system of equations shown? 2x + 5y = -2 4x + 7y = 8

Answers

Answer:

x=9, y=-4. (9, -4).

Step-by-step explanation:

2x+5y=-2

4x+7y=8

--------------

-2(2x+5y)=-2(-2)

4x+7y=8

---------------------

-4x-10y=4

4x+7y=8

--------------

-3y=12

y=12/-3

y=-4

2x+5(-4)=-2

2x-20=-2

2x=-2+20

2x=18

x=18/2

x=9

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Answers

Answer:

12-27+9Y=5+6=90X5=800

Step-by-step explanation:

Help ASAP I’ll mark you as brainlister

Answers

Answer:

volume is 4712.39

Step-by-step explanation:

looked it up lol

Area=10mmx18mm=
Please help

Answers

Step-by-step explanation:

if area is = 10mm *18mm = 180mm2

Help please .............

Answers

Answer:

i believe it would be D

Step-by-step explanation:

I need help again plz...

Answers

I’m pretty for sure it’s B

What is the volume of the figure down below?

Answers

The answer is C. All calculations of a cone or the cone equal up to 353.77. Hope this helps!

Answer:

C is correct....

Good Luck!!!

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

Answers

Answer:

3hope it help

Step-by-step explanation:

kaitlin received a $70 gift card for a coffee store. she used it in buying some coffee that cost $7.69 per pound. after buying the coffee, she had $39.24 left on her card. how many pounds of coffee did she buy?

Answers

Kaitlin bought 4 pounds of coffee.

70-39.24=30.76
30.76 ÷ 7.69= 4

Find the median and mean of the data set below:
13,6,47,0

Answers

Mean 16.5 Median:9.5

Mean: add up all the numbers, then divide by how many numbers there are.

13+6+47+0=66
Since there are 4 numbers, divide it by 4 and you get 16.5 for your answer.

Median: arrange your numbers (from smallest to largest) then find the middle number

0,6,13,47

Since there are two numbers in the middle (6 and 13)
Add up those two numbers and divide it by 2.
6+13=19

19/2=9.5

Answer:

Median:9.5

Mean:16.5

Step-by-step explanation:

Median: Put them in order, find the middle, since there is two median we add them together, then divide them by 2 and there's your answer.

Mean: Add the numbers: 0+ 6+ 13+47= 66

Divide by how many numbers (there are 4 numbers): 66/ 4= 8

Hope this helps

Plz like& brainly :D

$10,000 at an annual rate of 7%, compounded semi-annually, for 2 years

Use the compound interest table to find each balance

Will give brainliest 5 stars and thanks

Answers

Answer:

[tex]\$13,107.96[/tex]

Step-by-step explanation:

Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.

Therefore, we can set up the following equation to find the new balance after 2 years:

[tex]\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}[/tex]

Find the work done when a crane lifts a ​-pound boulder through a vertical distance of feet. Round to the nearest​ foot-pound.

Answers

Answer:

72000ft-1b

hope it helps

please mark brainliest

HELP!!! PRECALC Continuity problem, will give brain liest, thank you!!!

Answers

Answer:

Go to algebraic calculator

Step-by-step explanation:

Then go to Microsoft calculator it has everything

brainliest?

Help me please! Only if you know:)

Answers

Answer:

a,b,c,d

Step-by-step explanation:

ajjskakskskkdkdks

Which number has a 3 with a value that is 100 times greater than the value of 3 in 20.342 ?
1) 307.18
2) 423.06
3) 108.173
4) 36.25

Answers

Answer:

108.173

Step-by-step explanation:

108.173 has a 3 with a value that is 100 times greater than the value of 3 in 20.342

The circumference of a circle is 9π m. What is the area, in square meters? Express your answer in terms of π

Answers

Answer:

[tex]20.25\pi\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Formulas to know:

Area of a circle: [tex]A=r^2\pi[/tex]Circumference of a circle: [tex]C=2r\pi[/tex]

Since we know the circumference, we can use formula for the circumference of a circle to find the circle's radius:

[tex]9\pi=2r\pi,\\9=2r,\\r=4.5[/tex]

Now we can plug in [tex]r=4.5[/tex] into the formula for an area of a circle:

[tex]A=4.5^2\pi=\boxed{20.25\pi\:\mathrm{m^2}}[/tex]

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

   = pi ( 4.5)^2

     20.25 pi

The equation of a parabola is y=x^2–4x+13. Write the equation in vertex form.

Simplify any fractions.

Answers

Answer:

y = (x - 2)² + 9

Step-by-step explanation:

To obtain the equation in vertex form use the method of completing the square.

Add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 13

  = (x - 2)² + 9 ← in vertex form

Answer:

vertex form : y=(x-2)^2+9

Step-by-step explanation:

To convert a parabola from standard form y=x^2-4x+13 to vertex form, we complete the square.

first, complete the square using the x-terms, use the constant term to adjust and make a perfect square.

y=  x^2-4x+4   +  9

Factor the first three terms on the right-hand side.

y=(x-2)^2 + 9

the resulting express is then the vertex form, which means that

the vertex is at (x-2) = 0, x=2, and at y=9.  

What is the value of x????

Answers

Answer:

x = 28

Step-by-step explanation:

The 2 radii of the circle form an isosceles triangle with base angles congruent, both 59°

The angle at the vertex O is then

180° - (59 + 59)° = 180° - 118° = 62°

The angle between the tangent and the radius is 90°

Then

x = 180 - (90 + 62) ← sum of angles in a triangle

x = 180 - 152 = 28

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