The 4th term in an arithmetic sequence is 18 and 9th term is 43. Find the first 5 terms of the sequence

Answers

Answer 1

Answer:

3, 8, 13, 18, 23

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 and a₉ = 43 , then

a₁ + 3d = 18 → (1)

a₁ + 8d = 43 → (2)

Subtract (1) from (2) term by term, eliminating a₁

5d = 25 ( divide both sides by 5 )

d = 5

Substitute d = 5 into (1) for value of a₁

a₁ + 3(5) = 18

a₁ + 15 = 18 ( subtract 15 from both sides )

a₁ = 3 , then

a₂ = a₁ + 5 = 3 + 5 = 8

a₃ = a₂ + 5 = 8 + 5 = 13

a₄ = a₃ + 5 = 13 + 5 = 18

a₅ = a₄ + 5 = 18 + 5 = 23

The first 5 terms are 3, 8, 13, 18, 23


Related Questions

if Brian is driving 50 miles per hour how far did he drive​

Answers

Answer:

2.5 km long after 59 miles

Answer:

50 miles

Step-by-step explanation:

There are 47 maple trees currently in the park. Park workers will plant more maple trees today
When the workers are finished there will be 54 maple trees in the park. How many maple tree
did the workers plant today?

Answers

Answer:

7

Step-by-step explanation:

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Answer:

correct option is f(x,y) -----> ( -y,x) option 1.

Step-by-step explanation:

8/7 divided by 5/2?

Answers

Answer:

16/35

Step-by-step explanation:

(8/7)/(5/2)

8/7 * 2/5

16/35

Compare the graph of a linear inequality in two variables with the graph of a linear equation in two variables

Answers

Answer:

k but where is the graph

Step-by-step explanation:

the ratio of x and 5 minus 12
(turn this into a problem)

Answers

then is it.........!!!?

5x-12

I need help! Please tell me

Answers

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

y = 2x + 6
&
y = -1/4 x -3

i don't understand the second part (see photo)

Answers

Answer:

Step-by-step explanation:

Prime numbers has only two factor 1 and the number itself

Here, 2 , 3  prime factors

36 = 2 * 2 * 3 * 3

Abboy has 800, he spend 160. What fraction of his original money does he have left

Answers

Answer:

80%

Step-by-step explanation:

800-160=640

640/800=.8

.8=80%

is -4/5 or is-8/9 bigger

Answers

Answer:

-4/5 will be bigger.

Step-by-step explanation:

This is true as -4/5 is equal to -.8 compared to -.888888888.

Find the values of x and y.
т
>
75°
45
(6x + 3)

Answers

Answer:

X=12°

y=60°

Step-by-step explanation:

75=6x+3

x=12°

y=180-(45+75)

y=60°

What is the axis of symmetry of the quadratic function y = 2(x + 3)2 + 5?

Answers

Answer:

I would answer it correctly but only 5 points -_-

Step-by-step explanation:

it is not written in the correct format therefore it does not have an axis of symmetry

answer po plss plss plsss

Answers

Answer:

 16. 1.56

17. 0.8625

18.0.04

Step-by-step explanation:

hi so what 2+2 it is 4 right ...............................

Answers

Answer:

yessssssss have a nice day

which square has more white space one big circle or small many circle explain

Answers

Answer:

When a circle is inscribed in a square , the diameter of the circle is equal to the side length of the square.

You can find the perimeter and area of the square, when at least one measure of the circle or the square is given.

For a square with side length s , the following formulas are used.

Perimeter = 4s

Area = s2

Diagonal = s2√

Similarly, you can find the circumference and area of the circle , when at least one measure of the circle or the square is given.

For a circle with radius r , the following formulas are used.

Circumference = 2πr

Area = πr2

Example 1:

Find the perimeter of the square.

When a circle is inscribed in a square, the diameter of the circle is equal to the side length of the square.

So, the side length of the square is 6 cm.

The perimeter P of a square with side length s is given by P=4s .

Substitute 6 for s in P=4s .

P=4(6)     =24

The perimeter of the square is 24 cm.

Example 2:

What is the area of a circle that is inscribed in a square of area 64 square units?

When a circle is inscribed in a square, the length of each side of the square is equal to the diameter of the circle. That is, the diameter of the inscribed circle is 8 units and therefore the radius is 4 units.

The area of a circle of radius r units is A=πr2 .

Substitute r=4 in the formula.

A=π(4)2     =16π     ≈50.24

Therefore, the area of the inscribe circle is about 50.24 square units.

Step-by-step explanation:

Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of
lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold,
X.
Do not include dollar signs in the equation.
y =

Answers

Answer:

y= x • 2

Step-by-step explanation:

The amount of money they make is dependent of how many 2 dollar cups they sell.

(please crown me brainleist I need to level up)


Why might you write the equation in
point-slope form instead of slope-intercept
form?

Answers

Step-by-step explanation:

Slope-intercept form is useful when we know the y- intercept of a line. However, we are not always given this information. When we know the slope and one point which is not the y-intercept, we can write the equation in point-slope form.

I hope this will help you out!

The equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

We need to check why might we write the equation in point-slope form instead of slope-intercept form.

What is point-slope form?

Point slope form is used to represent a straight line using its slope and a point on the line. That means, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form. Different forms can be used to express the equation of a straight line. One of them is point slope form. The equation of the point slope form is: y - y1 = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The slope intercept form equation for a straight line with a slope, 'm', and 'b' as the y-intercept can be given as: y = mx + b.

We use point-slope form with one coordinate and slope.

Therefore, the equation of a line whose slope is 'm' and which passes through a point (x1, y1) is found using the point slope form.

To learn more about the point slope form visit:

https://brainly.com/question/24436844.

#SPJ5

A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?

2x + 3y = –6
2x + 3y = 6
y equals negative StartFraction 2 Over 3 EndFraction x minus 2.
y equals StartFraction 2 Over 3 EndFraction x minus 2.

Answers

Answer:

2x+3y=-6

Step-by-step explanation:

the intercepts are (-3,0) (x intercept) and (0,-2) (y intercept)

this means that when x = 0, y = -2 and when y = 0, x = -3.

the last two are not in standard form, so we can eliminate those.

the answer also cannot be the second one because both intercepts are negative. when we solve it, the intercepts would be (3,0) and (0,2). the answer must be 2x+3y=-6.

sorry for the late reply!

Answer:

I believe its A. 2x+3y=-6

Step-by-step explanation:

4×8 is it positive or negative

Answers

Answer:

4 × 8 = 32 so it is positive

Step-by-step explanation:

Answer:

Hi, 4x8 is positive.

Step-by-step explanation:

4x8=?

4+4+4+4+4+4+4+4=?

4x8=32

Since both numbers are positive, the answer will also be positive.

Hope this helps!!

One eight of a pizza pie is sold for 65 cent. How much will be received

Answers

Answer:

I don't know haha

Step-by-step explanation:

Salamat nalang sa points

Answer:

the whole pizza would cost $5.20

Step-by-step explanation:

1/8 = $0.65

8/8 = 1 = $5.20

0.65 × 8 = 5.2

is this what you mean??

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give image . What are the slope (m) and length of ?

Answers

Answer:

The slopes of both are m=6

Length of AB=6.082

Length of the image: 3.5 * 6.082 = 21.287

Answer:

Step-by-step explanation:

Solve) A = 1/2 h ( a + b ), solve for h

Answers

Step-by-step explanation:

A=½h(a+b)

h(a+b)=2A

h=2A/(a+b).

hope this helps you.

Consider the line y=-1/2x+9 What is the slope of a line parallel to this line? What is the slope of a line perpendicular to this line?

Answers

Answer:

Parallel line slope = - 1/2

Perpendicular line slope = 2

Step-by-step explanation:

Factorials: Solve 3!

Answers

Answer:

6

Step-by-step explanation:

3! = 3 x 2 x 1 = 6

solve for X : 3x²=5x​

Answers

⇒ 3x² - 5x = 0

⇒ (3x - 5) · x = 0

3x - 5 = 0

x = 0

x = 0, 5/3

Find the value of X and Y​

Answers

Answer:

x = 20 , y =43

Step-by-step explanation:

1- 7x-3 + 3x-17 = 180

10x = 200, x = 20

Y = 3x-17  x is 20 so Y=60-17=43

The Budget Car Rental rates for renting a car for a day is shown in the table.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

According to given information,

a.) Initial cost of renting car (y - intercept (b)) = the total cost when the distance travelled = 0

that is :

blank - 1 : $ 100

b.) rate of change = slope

[tex] \dfrac{y2 - y1}{x2 - x1} [/tex]

[tex] \dfrac{105 - 100}{100 - 0} [/tex]

[tex] \dfrac{5}{100} [/tex]

[tex] \dfrac{1}{20} [/tex]

blank - 2 : [tex]\dfrac{1}{20}[/tex]

c.) Let's

[tex]y = mx + c[/tex]

and according to above data :

y = C

x = d

m = 1/20

c = 100

so, the required equation is :

[tex]c = \dfrac{1}{20} d + 100[/tex]

put this equation in blank - 3 ~

Given, OA = OV, what congruency statements can
you make? Check all that apply.
BC = ZY
BE = 2x
CB = Y Z
OZDAB = ZZVX
DE = WX
O BE =ZX

Answers

Answer: Look at Explanation

Step-by-step explanation:

Your Welcome <3

A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?

Answers

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

Can someone please help me w/ this I need to plot the points on the graph (picture provied) then the answer is where ever the points met on the graph. ( please draw a line were they met u can screen shot the photo)
THE ANSWER IS SUPOSE TO LOOK LIKE THIS ( ___,___) IXL cc.2 8th grade

Answers

Answer:

-6,-6 because -7x-1 would be -6x

Step-by-step explanation:

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