Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50

Answers

Answer 1

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Answer 2

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]


Related Questions

Help me please I’m bad at slopes

Answers

The slope of this line is 1/1

help ? yes ? no ? maybe ?

Answers

Answer:

They are proportional

Step-by-step explanation:

Proportionality:

They are proportional because the cost is going up by 10 the entire time and the hours rented is going up by 2 the entire time.

Graphing:

Go to the 2 on the x-axis (horizontal line)

Go up to the 20 on the y-axis (vertical line)

The points to graph are:

(2,20)

(4,30)

(6,40)

(8,50)

I put a pic of what your graph should look like below!

Answer:

To plot the graph put the hours along the x axis and the cost on the y axis. Its a positive realationship because when the hours go up the cost goes up to, it isn't proportional because both values don't go up at the same rate.

Step-by-step explanation:

Can someone please help I will give you 30 points and brainliest if the answer is right also no links please

Answers

Answer:

B: BC ≅EC

Step-by-step explanation:

You know that the two angles starting in C are congruent (they're opposite by vertex C).

Given that the B angle and the E angle are congruent, in order for the two triangles to be congruent by A(ngle)S(ide)A(ngle) you want the side inbetween to be congruent. That is BC and EC. Option B

What is 16 1/2 as an improper fraction.

Answers

Answer: 16_1/2 improperly is simply 33/2.

$61.60 for parts and labor rate is $30.00 per hour total cost 136.60 how many hours will the job take? Write an equation and explain how you used it to find the number of hours the job will take.

Answers

Answer:

(136.60 - 61.60) / 30 = 2.5 hours

Step-by-step explanation:

First, subtract the cost of parts from the total: 136.60 - 61.60 = 75

Now you have the total labor cost. Divide by the hourly rate: 75 / 30 = 2.5

What is the vertex and p-value of this parabola?

Answers

Answer:

vertex: (-7, 5)p = 2

Step-by-step explanation:

The vertex is halfway between the focus and the directrix:

  ((-7, 7) +(-7, 3))/2 = (-14, 10)/2 = (-7, 5) . . . . vertex coordinates

The value of p is the distance from the focus to the vertex:

  7 -5 = 2 = p

In vertex form, the equation of the parabola is ...

  y = 1/(4p)(x -h)^2 +k . . . . . . vertex (h, k)

  y = 1/8(x +7)^2 +5

Find the equation of the line that passes through the given points, in Slope-Intercept Form. (-2, -7) and (3, 8)

Answers

Answer:

y=3x-1

Step-by-step explanation:

m=y2-y1/x2-x1

m=8-(-7)/3-(-2)

m=8+7/3+2

m=15/5

m=3

y-y1=m(x-x1)

y-(-7)=3(x-(-2)

y+7=3(x+2)

y+7=3x+6

y=3x+6-7

y=3x-1

ABC is a straight line.




The length AB is five times the length BC .

AC =90 cm.


Work out the length AB .


(3 marks)

Answers

Answer:

75 cm

Step-by-step explanation:

According to segment addition postulate we have:

AC = AB + BC

We are given:

AB = 5 BC

Then substitute values into the first equation:

AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cm

Find the length of AB:

AB = 5*15 cm = 75 cm

What is the solution to the system of equations?y = a system of equations. Y equals startfraction one-third endfraction minus 10. 2 x plus y equals 4. X – 102x y = 4(–8, 6)(–6, 16)(6, –8)(16, –6).

Answers

Good job just needs a little more work

Answer: C

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

Answers

Answer:

This Inequality has no solution making it false.

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14

5,069=322

False

Hope this helps :)

Answer:

Step-by-step explanation:

Write a system of equations for the following situation. There are a total of 35 questions on a test. Some questions are multiple choice and some are short answers. The multiple choice questions are worth 2 points and the short answer questions are worth 5 points. There are a total of 100 points on the test.​

Answers

Answer:

m + s = 352m + 5s = 100

Step-by-step explanation:

There are a total of 35 questions on a test:

m + s = 35

Points from multiple choice answers = 2m

Points from short answers = 5s

There are a total of 100 points on the test:

2m + 5s = 100
Pens be mPencils be s

The condition is

There are total 35pens to buy.

[tex]\\ \sf\longmapsto m+s=35[/tex]

Each pen costs 2$Each pencil costs 5$You have 100$

[tex]\\ \sf\longmapsto 2m+5s=100[/tex]

5.
Identify the vertex of the parabola.
A. (6, 3)
B. (3, 0)
C. (4, -1)
D. (5, 0)

Answers

Answer:

B. (3, 0)

Step-by-step explanation:

It's B. (3,0) because it's on the line of 3 and 0 aka x axis

Write the equation of the line that passes through the points (-8,3) and (0,2). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

[tex]y = \frac{1}{8} x + 2[/tex]

A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus 2X each week determine what the maximum revenue will be round your answer to two decimal places

Answers

Answer:

38.30

Step-by-step explanation:

because 230 -6x=0

Solve for g.

19 = 3g + 4

g =

Answers

19 = 3g + 4

Subtract 4 from both sides.
19 - 4 = 3g

You get:
15 = 3g
Divide both sides by 3.

5 = g

Answer:

ANS is g=5

step 1: 3g=19-4

step2: or,3g=15

step 3: or,g=15%3

step 4: or,g=5

Hope it helps.

Can you give me BRAINLIEST ANSWER

THANK YOU

Please help I need to show my work

Answers

is your test online or on paper? how would you show work. i’ll comment the answer on this

Is the expression 8 x 85 equivalent to (8 X 835? Explain.

pls help I'm dying lol

Answers

[tex]8 \times 835 = 6680[/tex]

Answer:

the answer will be 6680

Does anyone want to play prodigy with me? if so meet at Town Square in Lamplight Town in Sapphire World. I'm Serenity Nearshadow in that game. PLEASE!

Answers

Answer:

why did you need to play with you are you board of playing then stop playing game

What’s that. Anyways thanks for 5 points.

Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!

Answers

Answer:

step 1: what have you learned?

We cant help you because we do not know what you have learned.

but if you comment your vocab words and what u learned  i can help you  

   Step-by-step explanation:

solve pls brainliest

Answers

Step-by-step explanation:

first you need m and m is -15/5 that means -3

your function is mx =y so your function is -3x= y

5 / 1 - 15 :) !!!$!!!

-8 less than a number is no more than 12

Answers

Answer:

-8 < x ≤ 12

Step-by-step

-8 less than a number would give you

-8 <

a number no more than 12 would give you

x ≤ 12

giving x because we dont know what the number is-

so your full anser would be-

-8 < x ≤ 12

Someone, please help me with this MATH question.

Answers

Answer:

A

Step-by-step explanation:

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number ?
×-(×+4)=52
×+(×+4)=52
×(×+4)=52
×(×-4)=52​

Answers

Answer:Let's assume x be the smaller number.

Given that, The greater number is 4 more than the smaller number.

So, greater number= x+4.

It's also given that, The sum of two numbers is 52. Which means sum of x and x+4 must be equa to 52. Hence,

x + (x + 4) = 52

Step-by-step explanation:

Write an equation of the parabola that passes through the point (62,-490) and has x-intercepts -8 and 72

Answers

Step-by-step explanation:

as x intercepts are -8 and 72 we realize that f(x)=a(x+8)(x-72)

we know that f(62)=-490 so a= -0.7

so f(x)= -0.7(x+8)(x-72)

joe mammamamamamamaamamamma

Answers

Answer:

this joke is getting old lol

Step-by-step explanation:

What is the value of x?

Answers

Step-by-step explanation:

19x - 4 = 110 ( alternate Exterior angle )

→ 19x = 110 + 4 = 114

→ x = 114/19

→ x = 6

therefore, value of x is 6°.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x + 6y = -54

Answers

Answer:

y = - 4/3x - 9

Step-by-step explanation:

Answer:

[tex]y = -\frac{4}{3}x - 9[/tex]

Step-by-step explanation:

The standard form of linear equation is: Ax + By = C, where A, B, and C are integers; A and B ≠ 0, and A is a non-negative integer.

Given the linear equation in standard form, 8x + 6y = -54, we can transform this equation into its slope-intercept form, y = mx + b.

First, subtract 8x from both sides:

8x + 6y = - 54

8x - 8x + 6y = - 8x - 54

6y = -8x  - 54

Divide both sides by 6 to isolate y:

[tex]\frac{6y}{6} = \frac{-8x - 54}{6}[/tex]

[tex]y = -\frac{4}{3}x - 9[/tex] ⇒ This is the slope-intercept form where the slope, m = [tex]- \frac{4}{3}[/tex], and the y-intercept, b = -9.

The slope in the linear equation y=12x+5 is _[blank]_.

Answers

the slope is 12x, remember the slope is the number value before the variable!

El perimetro de un rectangulo mide 166 cm . Si su base mide 58 cm ¿cuanto mide su altura y cual es su area

Answers

solución:

A=1450cm²

~~~~~~~~~~~~~

Is there a value of x that makes each of the following equalities true? If there is, find it.
a. √x-3=0
b. √x=-10
c. √x+1=0
d. √x=0.1

Answers

Step-by-step explanation:

a. √x - 3 = 0 ⇒ √x = 3 ⇒ x = 3² ⇒ x = 9 b. √x = -10,

no solution as √x is a positive value

c. √x+1=0 ⇒ √x = - 1,

no solution as √x is a positive value

d. √x = 0.1 ⇒  x = 0.1² ⇒ x = 0.01

#1

√x-3=0x-3=0x=3

If square root is over x only x=3²=9

#2

No solutions as -10 is <0

#3

√x+1=0x+1=0x=-1

If root is over x only then no solutions

#4

√x=0.1

x=0.01

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