An arithmetic sequence has a common difference of 5 and the 3rd term is 15. What is the 5th term?


Please help me!

Answers

Answer 1

Answer:

an=8n−14

Step-by-step explanation:

for an AP

where

a

1

=

the first term

d

=

the common difference

then we have

a

1

,

(

a

1

+

d

)

,

(

a

1

+

2

d

)

,

...

,

a

1

+

(

(

n

1

)

d

)

,

.

.

we are given the third term

10

=

a

1

+

2

d

(

1

)

and the fifth term

26

=

a

1

+

4

d

(

2

)

subtract

(

2

)

(

1

)

16

=

2

d

d

=

8

sub into

(

1

)

10

=

a

1

+

2

×

8

a

1

=

6

so the nth term

a

n

=

a

+

(

n

1

)

will be

a

n

=

6

+

8

(

n

1

)

a

n

=

8

n

14


Related Questions

Hi, can someone please help me with some geometry problems?!!!

Answers

Answer:

I can!

Step-by-step explanation:

Sure why not post them

Which is the better deal?

6 cans of soda for $3.60

4 cans of soda for $2.36

10 cans of soda for $5.50

Answers

Answer:

The better deal is 10 cans of soda for $5.50

Step-by-step explanation:

6 cans of soda for $3.60 means each can of soda is worth .60 cents4 cans of soda for $2.36 means each can of soda is worth .59 cents 10 cans of soda for $5.50 means each can of soda is worth .55 cents

Therefore, 10 cans of soda for $5.50 is the best deal because you are getting the most cans of soda for the cheapest amount of money.

Hope this helped!

Answer:

10 cans for $5.50

Step-by-step explanation:

3.60/6= $0.60 per can

2.36/4= $0.59 per can

5.50/10= $0.55 per can

Find the area of the sector.
45 degrees
11 cm radius

Answers

Answer:

Area 47.516589 cm2 (square centimeters)

Step-by-step explanation:

Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table.

Based on the table, which bill has an experimental probability of being drawn from the bag next?

Experimental or Theoretical?

Answers

Answer:

Theoretical

Step-by-step explanation:

What is the measure of the indicated angle?

Answers

Answer:

76

Step-by-step explanation:

Let the indicated angle be x

all the angels add up to 180⁰

therefore,

x + 48 + 56 = 180

x + 104 = 180

x = 180 - 104

x = 76

HOPE THIS HELPS

The answer would be 76!

what is 5x-2y= -4 in slope intercept form

Answers

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Shopping While shopping for clothes, Tracy spent $27 less than 2 times what Jaclyn spent.
Tracy spent $21. Write and solve an equation to find how much Jaclyn spent. Let x represent how
much Jaclyn spent.

Answers

Answer:X = Daniel spent

Y = Tracy spent

Tracy spent = Y

$38 less than = -38

3 times Daniel spent = 3X

Put it all together

Y=3X-38

2y+3=5x-18. make x the subject​

Answers

[tex]x = \frac{2y + 21}{5} [/tex]

Step-by-step explanation:

1) Add 18 to both sides.

[tex]2y + 3 + 18 = 5x[/tex]

2) Simplify 2y + 3 + 18 to 2y + 21.

[tex]2y + 21 = 5x[/tex]

3) Divide both sides by 5.

[tex] \frac{2y + 21}{5} [/tex]

4) Switch sides.

[tex]x = \frac{2y + 21}{5} [/tex]

Hope it helps.

sorry if its wrong.

The equation 2y + 3 = 5x - 18 can be rearranged to make x the subject as x = (2y + 21) / 5.To make x the subject of the equation 2y + 3 = 5x - 18, we need to isolate x on one side of the equation.

Let's rearrange the equation step by step:

2y + 3 = 5x - 18

First, let's move the constant term (-18) to the other side by adding 18 to both sides:

2y + 3 + 18 = 5x

2y + 21 = 5x

Next, we can divide both sides by 5 to isolate x:

(2y + 21) / 5 = x

Therefore, the equation 2y + 3 = 5x - 18 can be rearranged to make x the subject as x = (2y + 21) / 5.

To know more about equation :

https://brainly.com/question/10724260

#SPJ2

Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour

Answers

62 miles 217/3.5 to get mph then mph is 62 so every hour they travel 62 miles

Write with a single exponent
b. 1/10•1/10•1/10•1/10•1/10•1/10•1/10=

Answers

Answer:

1 x 10^-7

Step-by-step explanation:

Answer:

l;komjni

Step-by-step explanation:

Right triangle XYZ is shown. Y (2,6) (1, 2) 6 х 7 Z Rounded to the nearest hundredth of a unit, what is the length of the hypotenuse?

PLEASE HELP ASK ​

Answers

Answer:

8.12

Step-by-step explanation:

We obtain the distance between x and y

d = sqrt[(x2 - x1)² + (y2 - y1)²]

d = sqrt[(1 - 2)² + (2 - 6)²]

d = sqrt[1 + 16)

d = sqrt(17)

d² = 17

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Hence,

Hypotenus = sqrt(17 + 7²)

Hypotenus = sqrt(17+ 49)

Hypotenus = sqrt(66)

Hypotenus = 8.124

Hypotenus = 8.12

What is the gcf of 10m^3 +45m

Answers

Answer:

ITS 1

10 = 2 • 5

   3 = 3

   45 = 32 • 5

Answer:

GCF of 40 and 60

Step-by-step explanation:

Solution We first express 20 and 60 as the product of prime numbers 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5. The common factors are 2 × 2 and 5.

Help????? 5 rate its due at 8:00 hehee.....

Answers

An equation has to have a equal sign. So all with a equal sign. If there’s no equal sign it’s a expression.

What are the coordinates of point S?

Answers

Answer:

(-2,3) or (3,-2)

Step-by-step explanation:

follow the line if that makes since

Answer:     (-3,2)

Step-by-step explanation:

The point is 3 spaces left so it would be negative and 2 spaces up so positive.

can anyone help me? I'm so lost on this question. thanks!! ​

Answers

Answer:

a. -21

b. -16

c. -11

d. -9

Step-by-step explanation:

if x is less than -2, then u have to use the equation 5(x)-1

if x is greater than or equal to -2, then you have to use the equation (x)-9

Answer:

Step-by-step explanation:

This is a ‘piece wise function’ meaning it has different functions depending on the value of the independent variable, x.

So for questions a and b where x<-2 you sub the x value into the top equation, 5x-1.

f(-4)=5(-4)-1=-20-1=-21

f(-3)=5(-3)-1=-15-1=-16

Since the second two x values are not less than -2, you sub the x values into the second equation x-9

f(-2)=-2-9=-11

f(0)=-0-9=-9

Emily drove 328 miles in 8 hours. If she drove at a constant rate, how far did she
travel each hour?

Answers

Answer:

41 mph (miles per hour)

Step-by-step explanation:

A pound of popcorn is popped for a class party. The popped corn is put into small popcorn boxes that each holds 120 popped kernels. There are 1,600 kernels in a pound of unpopped popcorn. If all the boxes are filled except for the last box, how many boxes are needed, and how many popped kernels are in the last partially filled box?

Answers

Answer:

14 ; 40

Step-by-step explanation:

Number of unpopped popcorn = 1600 kernels

Kernel per popped corn = 120

Number of boxes needed :

Number of unpopped / kernel per popped corn

1600 / 120

= 13.3333

Hence, number of boxes needed = 14

Number of popped kernel. In partially filled box :

1600 - (120 * 13)

1600 - 1560

= 40

Alguien me podría ayudar aunque sea en la 2°
se los agradecería mucho​

Answers

Answer:

photomath

Step-by-step explanation:

es una app q te ayuda en ejercicios de matemática

Solve the equation r+3 = 3(r-5)​

Answers

Answer:

r-9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

brainleist?

r+3= 3(r-5)

r+3= 3r-15

3= 2r-15

18=2r

9=r

What is the image of 6, -7 after dilation by scale factor of 3 centered at the origin

Answers

Answer:

(18,−21)

Step-by-step explanation:

Dilation: multiply each coordinate

(x,y)\rightarrow (3x,3y)

(x,y)→(3x,3y)

Dilations multiply by scale factor

(\color{red}{6},\color{blue}{-7}) \rightarrow (3\cdot \color{red}{6},3\cdot \color{blue}{-7})=\mathbf{(18,-21)}

(6,−7)→(3⋅6,3⋅−7)=(18,−21)

Answer:

18,-21

Step-by-step explanation:

I hope this helps

DeepSea Challenger’s descent was a change in depth of (-4) feet per second.We can use the equation y = -4x to model this relationship, where y is the depth (-35,814 ft) and x is the time in seconds that have passed. How many seconds does this model suggest it would take for DeepSea Challenger to reach the bottom?(round to the nearest tenth)
* Explain how you got your answer.

Answers

Answer:

Step-by-step explanation:

x = -35,814 ft ⋅ (1 sec)/(-4 ft) = 8,953.5 sec

The required model suggests that it would take approximately 8957.5 seconds for DeepSea Challenger to reach the bottom.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

To find the time it takes for the DeepSea Challenger to reach the bottom, we need to find the value of x when y = -35,814 ft.

We can substitute the desired depth into the equation y = -4x:

-35,814 = -4x

35,814 = 4x

x = 35,814 / 4

x = 8953.5 seconds

So, the model suggests that it would take approximately 8957.5 seconds for DeepSea Challenger to reach the bottom.

Learn more about proportionality here: https://brainly.com/question/22620356

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For each parallelogram below, find the value of x.
Will give brainliest for full answer

Answers

Answer:

x = 3 and x = 8

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, then

WA = DR , substitute values

12x - 9 = 5x + 12 ( subtract 5x from both sides )

7x - 9 = 12 ( add 9 to both sides )

7x = 21 ( divide both sides by 7 )

x = 3

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

The diagonals of a parallelogram bisect each other, then

QS = [tex]\frac{1}{2}[/tex] QT , that is

8x - 14 = [tex]\frac{1}{2}[/tex] × 100 = 50 ( add 14 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Answer:

x = 3 and x = 8

Step-by-step explanation:

Hope this will help

Lisa goes out to eat with her family and spends 42.50. she gives the waiter 15% tip .how much money does she spend in total ?

Answers

Answer:

Step-by-step explanation:

1.15×$42.50 = $48.875 ≅ $48.88

Answer:

$48.88

Step-by-step explanation:

42.50 increase 15% =

42.50 × (1 + 15%) = 42.50 × (1 + 0.15) = 48.875

The volume of a Soap cake is 160 cm 3 . Its length and width are 10cm and 5 cm. Find its height.

Answers

Answer:

h = 3.2 cm

Step-by-step explanation:

[tex]h=\frac{Volume}{l * w}\\\\=\frac{160}{10*5}\\\\=\frac{16}{5}\\\\[/tex]

= 3.2 cm

Find the measure of the indicated angle

Answers

Answer:

36°

Step-by-step explanation:

(6x)° + 54° = 90°

(complementary angles)

(6x)° = 90°- 54°

(6x)° = 36°

4 times what is closest to 26 without going over

Answers

Answer:

4*6=24     answer:6

any other number would be less or more

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 x 6 is 24 and 4 x 7 is 28. 26 is between 24 and 28, so got to 24 since that is less than 26. 4 x 6 gets you 24, so 6 is your answer.

Hope it helps!

Pls will give brainliest! Asap!

Answers

Answer:

it is -11

Step-by-step explanation:

first thing you do is subtract 64 minus 75 and that will be the answer

Answer:

-11

Step-by-step explanation:

64-75=-11

hope i helped :)

What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)

y = 5
y = −7
x = 5
x = −7

Answers

If it’s a horizontal line, we focus on the y-coordinates.

(-7,5)

-7 is a x-coordinate
5 is a y-coordinate


The answer is y = 5

school lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v​

Answers

Answer:

₱ 550.25

Step-by-step explanation:

₱ 35.50 * 15.5 weeks = ₱ 550.25

550.25 is the anawer

Select the correct answer. Which equation represents the line that is parallel to y = 3 and passes through (-2,-8)? A. x = -2 B. x = 3 C. y = -8 D. y = 3x − 2

Answers

Answer:

C. -8

Step-by-step explanation:

Don't listen to ppl who say it's 3, IT'S NOT. The answer is C. y= -8, because the line has to be parallel so it will be y and D is clearly not correct, so its C.

Answer:

c=-8

Step-by-step explanation:

only answer that makes sense i just took the test

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