The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answers

Answer 1

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:


Related Questions

Use the function below to find F(2).
F(t) = 2x1/2^3t
ОА. 1/32

O B.1/8

O c.1/16

O
D.1/64

Answers

Answer:

C

Step-by-step explanation:

Factor out the Greatest Common Factor (GCF): 36y - 16 ?

Answers

Answer: 4(9y-4)

Step-by-step explanation:

36y - 16

4 x 9 is 36

4(9 is just like 36y.

()) There are two cubes. The first cube has a volume of 1,000 cubic units. The second cube is smaller than the first, with sides only half as long. What is the volume of the second cube? D) cubic units Submit​

Answers

Answer:

125 units^3

Step-by-step explanation:

Volume is l*w*h = V. A cube has all equal sides so wecan divide 1000 by 3 and get our side lengths.

You then divide the sides by 2 because the question says the second cubes sides are half the size

5*5*5 = 125

The volume of the second cube is 125 units³.

What is volume?

In mathematics, ‘Volume’ is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.

Given that a cube has volume 1000 units³ and another smaller cube has smaller volume has side only half as long.

We need to find the volume of the second cube,

So, let the side of the first cube be x,

We know that the volume of a cube = side³

Therefore,

x³ = 1000

x = ∛1000

x = 10 units

Therefore, the second cube will have a side of 10/2 = 5 units

Volume of second cube = 5³ = 125 units³.

Hence the volume of the second cube is 125 units³.

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BRAINLIEST FOR CORRECT ANSWER!
What is the transformation rule for a translation 3 units right?

Answers

Answer:Translation happens when we move the image without changing anything in it. ...

Rotation is when we rotate the image by a certain degree. ...

Reflection is when we flip the image along a line (the mirror line). ...

Dilation is when the size of an image is increased or decreased without changing its shape.

((No links allowed))!~Brainliest IF YOU CAN SIMPLIFY AND SOLVE FOR THE UNKNOWN~!(3 + 5)² + [8 - 11] + Z = 4(Z - 2)

Answers

Z=23

Hope this helps!

Answer:

z=25

Step-by-step explanation:

(3+5)^2+[8-11]+z=4(z-2)

(8)^2 +3+z=4z-8

square 8

add 8 to both sides

mines z from both sides

64+3+8=3z

75=3z

25=z

What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?

cm

Answers

Answer:

Step-by-step explanation:

What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?

cm

Answer:

Step-by-step explanation:

-1

What is the perimiter of a quadrilateral with verticles at (5,2), (10,2), (5,5), and (10,5)

Answers

Answer:

55

Step-by-step explanation:

If Sally's school is 2.5 km long. How many meters long is Sally's school?

Answers

Answer:

2500 m long

Step-by-step explanation:

Answer:

2,500 meters

Step-by-step explanation:

There are 1000 meters in a kilo meter so just multiply 2.5 x 1000

Suppose the TRMS basketball team scored 78 points by 2-point and 3-point baskets only. If 35 total baskets were made, how many 2-point and 3-point baskets were scored?

Answers

Answer:

the number of 2 point and number of 3 point be 27 and 8 respectively

Step-by-step explanation:

Let us assume the number of 2 point be x

And, the number of 3 point be y

Now according to the question

2x + 3y = 78

x + y = 35

Multiply by 2 in equation (2)

2x + 3y = 78

2x + 2y = 70

y = 8

So,

x = 35 - 8

= 27

Hence, the number of 2 point and number of 3 point be 27 and 8 respectively

((−34)5)2 help me I'm confused AAAAAAAAAAAAAAAAAAAA

Answers

Answer:

340

Step-by-step explanation:

((-34)5)2

(-170)2

340

I need help I'm confused!

Answers

Answer:

160 and 70

Step-by-step explanation:

please help! i'll give brainliest! no one would help me PLEASE.

Answers

Answer:

m∠ABC = 42°

Step-by-step explanation:

5x + 13 + 3x + 33 = 70

8x + 46 = 70

8x = 24

x = 3

m∠ABC = 3(3) + 33 = 42

Lucy's dog lost 6 pound How much weight does her dog need to gain in order to a net change of 0 pounds? _pounds?

Answers

Answer:

I think 6 pound. Beacuse 6-6=0

Triangle ABC is similar to triangle WYZ.

Determine whether the following statement is true or false.

sin(B)>sin(Y)

True
False

Answers

9514 1404 393

Answer:

  False

Step-by-step explanation:

Corresponding angles in similar triangles are congruent. The similarity statement tells you angle B corresponds to angle Y, so those angles are congruent. The sines of congruent angles are identical.

  sin(B) > sin(Y) . . . . FALSE

  sin(B) = sin(Y) . . . . true

Answer:

The answer is true.

Step-by-step explanation:

could someone give me answers for these three? no wrong answer or spam or link

Answers

Answer:

Equation: 2x + 13 = 5x - 20

x = 11

<FDG = 35

Step-by-step explanation:

These are vertical angles so they're equal to each other:

2x + 13 = 5x - 20

2x - 5x = -20 - 13

-3x = -33

x = 11

<FDG:

5x - 20

5(11) - 20

55 - 20

35

Need help due in 20 mins

Answers

Answer: The slope is 0.

The slope is 0 because for something to have a slope, it either has to be going upward or downwards.

Maggie has exactly 20$ to buy decorations for the dance. Streamers cost 2$ per roll and balloons are 1.50$ per package. Which set of purchases is closest to her budget??

Answers

Answer:

675esa  espuesatr

Step-by-step explanation:

un refresco tiene una concentración de 3.8 x 10-4 de iones H+. determina el valor de PH de ese refresco​

Answers

Answer:

El pH del refresco es 3.42.

Step-by-step explanation:

Se puede calcular el pH del refresco usando la siguiente fórmula:

[tex]pH = -log([H^{+}])[/tex]

En donde:

[H⁺]: es la cocentración de los iones H⁺ de la solución

Entonces, el pH es:

[tex]pH = -log([H^{+}]) = -log(3.8\cdot 10^{-4}) = 3.42[/tex]

El resutlado obtenido nos permite concluir que ese refresco es ácido.

Por lo tanto, el pH del refresco es 3.42.

Espero que te sea de utilidad!

Usando su fórmula, se encuentra que el valor de PH de ese refresco​ es dado por 3.42.

Cual es la fórmula para el valor de PH?

Es dada por:

[tex]pH = -\log{H^{+}}[/tex]

Onde [tex]H^+[/tex] es la concentración.

En este problema, hay que la concentración es de [tex]H^+ = 3.8 \times 10^{-4}[/tex], por eso:

[tex]pH = -\log{H^{+}}[/tex]

[tex]pH = -\log{3.8 \times 10^{-4}}[/tex]

[tex]pH = 3.42[/tex]

El valor de PH de ese refresco​ es dado por 3.42.

Puede-se aprender mas sobre el valor de PH en https://brainly.com/question/16146414

please please help me
(the number in the photo is 20 and then the letter is x)

(also if you can pls go to my profile and answer the question underneath this one)

Answers

Answer:

20°

Step-by-step explanation:

for alternate angles

Answer:

angle x= 20°

I hope it's helps you

The cost for the raw materials of marble countertops, can be represented by the function , where is the area of the countertops. The retail markup, can be represented by the function. Which function can be used to find the marked-up price of a marble countertop depending on the area?

Answers

Answer:

[tex]m(c(a)) = 4.8875a[/tex]

Step-by-step explanation:

The missing parameters are:

[tex]c(a) = 4.25a[/tex] --- Cost of marble countertops

[tex]m(c) = 1.15c[/tex] --- Cost of retail markup

Required

The cost of marked up price

This implies that we calculate m(c(a))

We have:

[tex]c(a) = 4.25a[/tex]

[tex]m(c) = 1.15c[/tex]

[tex]m(c) = 1.15c[/tex] can be written as:

[tex]m(c(a)) = 1.15*c(a)[/tex]

Substitute: [tex]c(a) = 4.25a[/tex]

[tex]m(c(a)) = 1.15*4.25a[/tex]

[tex]m(c(a)) = 4.8875a[/tex]

Hence, the cost of marked up price is: [tex]m(c(a)) = 4.8875a[/tex]

HELP!

Eric bought 16 ounces of coffee beans for
$14.40. At this rate, how much would 11 ounces
of coffee beans cost?

Answers

Answer:

11 ounces cost 9.90$.  

Step-by-step explanation:

Each ounce cost .90 cents.

Hope this helped!

What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width
of 20in, and a length of 19in?

Answers

Formula for volume is L*W*H so answer is 4180

The volume of the rectangular prism is 4180in^3.

What is rectangular prism?

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles".

For the given situation,

Length of the rectangular prism = 19 in

Width of the rectangular prism = 20 in

Height of the rectangular prism = 11 in

The formula for volume of the rectangular prism,

[tex]V=l[/tex] × [tex]w[/tex] × [tex]h[/tex]

On substituting the values,

⇒[tex]V= 19[/tex] × [tex]20[/tex] × [tex]11[/tex]

⇒[tex]V=4180[/tex]

Thus the volume of the rectangular prism is [tex]4180 in^{3}[/tex].

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Please help I need to show all work

Answers

Answer: x=-3 can you mark me brainlyest thanks

Step-by-step explanation:

3(x-6)=2x(x+3)

3x-18=3x+6x

3x-18=9x

-3x      -3x

-18=6x

__   __

6      6

x=-3

Answer: X = -13 answers above btw

What is the approximate value of
3

35
?

Answers

Answer:

17.7

Step-by-step explanation:

Use a calculator.  Enter 3 and then √35.  The calculator should return

17.748.  Round this off to 17.7.

Answer:

17. 7 is the answer.

Step-by-step explanation:

#CarryOnLearning

Find the volume of the cylinder. Round your answer to the nearest hundredth.

Answers

9514 1404 393

Answer:

  1763.01 m³

Step-by-step explanation:

The height of the cylinder will be ...

  h = (18 m)sin(60°) = 9√3 m

The volume of the cylinder is ...

  V = Bh

where B is the area of the end circle.

  B = πr² = π(6 m)² = 36π m²

Then ...

  V = (36π m²)(9√3 m) ≈ 1763.01 m³

The volume of the cylinder is about 1763.01 m³.

PLEASE HELP!! ILL MARK BRAINLYEST!!


Which type of graph would you choose to show the number of home runs hit by each player compared to the team total?

A. histogram
B. bar graph
C. circle graph
D. line graph

Answers

Answer:

Bar graph

Step-by-step explanation:

if it helps don't forget to like and mark me down

Answer:

Bar Graph

Step-by-step explanation:

Vincent has a box of popsicles. There are 12 cherry, grape 10 orange, and 6 blue raspberry If he reaches in the box and pulls one out at random, what the probability it will be blue raspberry?

Answers

Answer:

6:28 or 3:14

Step-by-step explanation:

if you add all the flavor amounts up, which is 12 + 10 + 6, you get 28. 6 of those 28 popsicles are blue raspberry, so the ratio is 6:28. if it needs to be simplified, its 3:14 because 6/2 is 3 and 28/2 is 14

Answer:

6:28 if you add all Popsicles it gives you 28,so the probability that he will pick raspberry are 6 ,so if you simplyfy further its 3:14

Please help so I don’t fail this class

What is the measure of the reference angle for a -287° angle

Answers

The measure of the reference angle for a -287° angle is 17°.

To measure of the reference angle for a -287° angle

1. Determine the quadrant: First, we need to identify the quadrant in which the angle -287° lies.

  - In the standard coordinate plane, angles between 0° and 90° are in the first quadrant, between 90° and 180° are in the second quadrant, between 180° and 270° are in the third quadrant, and between 270° and 360° are in the fourth quadrant.

  - Since -287° falls in the third quadrant, we know that the reference angle will be found in the first quadrant.

2. Find the corresponding acute angle: To find the reference angle, we need to find the acute angle that has the same trigonometric values as the given angle.

  - To do this, we can add 360° to the given angle (-287° + 360° = 73°). This gives us an equivalent positive angle in the same position.

3. Determine the reference angle: Now that we have the positive equivalent angle (73°), we can find the reference angle by subtracting it from 90° (90° - 73° = 17°).

Therefore, the measure of the reference angle for a -287° angle is 17°.

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Robert has x books. Marie has twice as many books as Robert has. Together they have 18 books. Which of the following equations can be used to find the number of books that Robert has? Choose one multiple choice answer
x+2=18
x+x+2=18
x+2x=18
2x=18

Answers

Answer:

the answer: x+2x=18

Step-by-step explanation:

What is the equation for the hyperbola shown?
X
V2
= 1
602
112
72
-
x2
112
1
602
72
x2
=
1
602
112
72
112
x2
602
1

Answers

Answer:

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

Step-by-step explanation:

Since the hyperbola opens left and right with a center at the origin, then

[tex]\frac{x^{2} }{^{2} } - \frac{y^{2} }{b^{2} } = 1[/tex]

In the graph a = 60 and b = 11

So

[tex]\frac{x^{2} }{60^{2} } - \frac{y^{2} }{11^{2} } = 1[/tex].

[tex]\frac{x^{2} }{3600} - \frac{y^{2} }{121} = 1[/tex]

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