Complete the table for each given sequence: On = 15+3(n − 1)

Complete The Table For Each Given Sequence: On = 15+3(n 1)

Answers

Answer 1

Answer:

The complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72


Related Questions

Find the slope between the points (9,54) and (-5,61)

Answers

Answer:

slope=(Y2-Y1)/(X2-X1)

slope=7/-14= -1/2

please give me brainlest

Find the midpoint of the line segment whose endpoints are (-2, 5) and (6, -9).

(2, -2)
(1, -4)
(4, -4)

Answers

Answer:

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

Step-by-step explanation:

Given two points are:

(-2, 5) and (6, -9)

The mid-point is the point that divides a line segment in two equal parts.

Let M be the mid-point then

[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Let

(x1,y1) = (-2, 5)

(x2,y2) = (6, -9)

Putting the values in the formula, we get

[tex]M(x,y) = (\frac{-2+6}{2}, \frac{5-9}{2})\\M(x,y) = (\frac{4}{2}, \frac{-4}{2})\\= (2,-2)[/tex]

Hence,

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

Simplify the expression:
3y2 + 15 – 2y2

Answers

Answer: 16y

Step-by-step explanation: Done this before so easy obviously 16y

Answer:

=y^2 + 15

Step-by-step explanation:

HELP I DON'T UNDERSTAND THIS AT ALL!!!

Answers

D__ is 7.5<x

C is x<10

Step-by-step explanation:

just do the inequality and graph

what is 16/14 in mixed number

Answers

Answer:

1 2/14

Step-by-step explanation:

I don’t think there is such things as a mixed number just a mixed fraction

Each side length of the parallelogram at the right is multiplied by 4. Describe the change in the parameter. Justify your answer.

Answers

side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

Can you please show you work?

Answers

Answer:

8

Step-by-step explanation:

If you replace x with the given answers, the only one that would make both answers the same is 8

Answer:

8

Step-by-step explanation:

7x - 4 = 5x + 12

7x - 5x - 4 = 5x - 5x + 12

2x - 4 = 12

2x - 4 + 4 = 12 + 4

2x = 16

2x/2 = 16/2

x = 8

If ZBPD and ZDPC have a sum of 72°. What is ZAPC?

A. 180.

B.90.

C.180.

D.18.​

Answers

Hey there!

I don't know if it's too late, but oh well: The answer is 108°

Knowing that supplementary angles add up to 180°, and we also know that we have 2 out of 3 of the angle measures, so we can subtract that from 180:

180 - 72 =108°

Have a terrificly amazing day!

Answer:

∡APC = 108°

Step-by-step explanation:

∡ APB = 180°

∡ DPB + ∡ CPB + ∡APC = 180°

∡ BPD and ∡DPC have a sum of 72°

then:

72° + ∡APC = 180°

∡APC = 180° - 72°

∡APC = 108°

how many solutions does 6x−y=−1 6x+y=−1 ​

Answers

Answer:

x=−1/6 and y=0

Step-by-step explanation:

Answer:

There is one solution.

Step-by-step explanation:

x = - 1/6

y = 0

It can be solved simultaneously

6x - y = -1

6x + y = -1

Subtract equation two from equation one

-2y = 0

Divide both sides by-2

y = 0/-2

y = 0

Substitute 0 for y in either of the equations to get x

 

6x - 0 = -1

6x = -1

Divide both sides by 6

x = -1/6

PLSSS HELP IM ON A TIME LIMIT

Answers

I think it’s A.....
Not super sure

what is the slope intercept form of the equation of a line that passes through the coordinates (3,-2) and (5, -4) ?

Answers

Answer:

m=-1x+1

Step-by-step explanation:

uhh i lookedmup the answer

the answer is -1 i think idrk

h(t) = -16 + 10t
g(-6) =

Answers

Answer:

-6g

Step-by-step explanation:

imagine you're in a queue to the airport check-in desk if two-thirds of the queue is in front of you and three tenths of the queue is behind you how many people are in the queue​

Answers

2/3 in front x10
3/10 behind x3

20/30 In front
9/30 behind

20/30+9/30= 29/30
30 people are in the queue

Step-by-step explanation:

Let x be the number of people in the queue, including yourself.

We have 2/3 x + 1 + 3/10 x = x.

=> 29/30 x + 1 = x

=> x/30 = 1

=> x = 30.

Hence there are 30 people in the queue.

question 15, i’m sick and i only have until 12am to finish all my missing work and i need to pass to make my parents happy but i’m lowkey sad rn but #swag

Answers

Answer:

-3(x+2)-x

-3-2x

Step-by-step explanation:

Answer:

-3-2x

Step-by-step explanation:

what is the solution for X in the equation -4 + 5x - 7 equals 10 + 3 x - 2x

choices:
A- x= 4/21
B- x= 13/4
C- x= 4/13
D- x= 21/4

Answers

Answer:

x=21/4

Step-by-step explanation:

A x = 4/21 because it’s the right answer I believe

PLZ HELP ASAP ILL GIVE BRAINLEST PLZ

Answers

Answer:

the answer is yes

Step-by-step explanation:

k(3)=5(3)-3

k(3)=15-3

k(3)=12

12 is the answer

One cell phone company charges a $76 sign-up fee and $40 per month. Another cell phone company charges $136 sign-up fee and $20 per month. Write and solve an equation to determine after how many months the cost is the same

Answers

Answer:

The cost would be same after 3 months.

Step-by-step explanation:

Given that:

Charges of first company;

Sign up fee = $76

Per month charges = $40

Let,

x be the number of months

y be the total cost.

y = 40x + 76      Eqn 1

Charges of second company;

Sign up fee = $136

Per month charges = $20

y = 20x + 136     Eqn 2

For same cost,

Eqn 1 = Eqn 2

40x + 76 = 20x + 136

40x-20x = 136 - 76

20x = 60

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{60}{20}\\x=3[/tex]

Hence,

The cost would be same after 3 months.

please help me lol.

Answers

I wish I could lol good luck

Find the mean: 1, 4, 4, 6, 10​

Answers

Answer: 5

Step-by-step explanation:

1.  1 + 4 + 4 + 6 + 10 = 25

2. ​25/5 (divide by the amount of numbers)

Answer:

5

Step-by-step explanation:

First, add up all of the numbers.

1 + 4 + 4 + 6 + 10 = 25

Then count how many there are.

5

Lastly, divide the sum by the number of numbers.

25/5 = 5

This will give you your answer.

Hope this helped!

expressions are equivalent to -7+3(-4e-3)−7+3(−4e−3)

Answers

Answer:

-7 - 12e - 9

I’m not sure what your asking for but that’s the simplified version of that’s what your looking for. And from there you can get the answer by simplifying the one I gave you which would give you

-12e - 16 ;)

Step-by-step explanation:

Help me please on this question. Thanks.

Answers

I’M sorry I don’t understand it

In a survey of 3,200 people who owned a certain type of​ car, 960 said they would buy that type of car again. What percent of the people surveyed were satisfied with the​ car?

HELP NOW!!

Answers

Answer: let

Total number of those who took part in the survey (T)=3200

Those who were satisfied (t)=960

Percentage of those who were satisfied (S)=(t/T)*100

S=(960/3200)*100

S=30%

Therefore only 30% were satisfied

Step-by-step explanation:

Thirty percent of the people surveyed were satisfied with the car.

What is the formula used to find the percentage?

The formula used to calculate percentages is the ratio of value to total value multiplied by 100.

Let's denote  T as the  total number of people who owned a certain type of car and t as the number of people who were satisfied with the car.

Given that,

T =3200

t= 960

The percent of people satisfied with the car is obtained by using the below equation.

[tex](\frac{t}{T} ) * 100[/tex]

(960/3200)*100 = 30%

As a result, the percentage of people who are satisfied with the car is 30%.

To learn more about percentage, use the link below:

https://brainly.com/question/29306119

#SPJ2

Given that 4 x : 3 = 11 : 7 Calculate the value of x .

Answers

Step-by-step explanation:

4x/3=11/7

4x=11×3/7?

4x=33/7

4x=4.7

x=4.7/4

x=1.175

please mark mean as brilliant brainliest

help help help help help help help helphelp help help helphelp help help helphelp help help help

Answers

Answer:

X = 36/17

y = -8/17

Step-by-step explanation:

Since they both equal y, you could use them equal to each other.

(5/2)x-4=(-1/3)x+2

Then solve for x by combining like terms. X should be 36/17. Plug in x to find y in one of the equations. I will use the top one. (5/3)(36/17)-4=y. That should simplify down to (60/17)-4=y. Y would finally equal -(8/17).

Answer:

What the other guy said. I think he is correct.

Step-by-step explanation:

Does anyone know how to do this?? Help please!!!!

Answers

Answer:

When we have a rational function like:

[tex]r(x) = \frac{x + 1}{x^2 + 3}[/tex]

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

[tex]\frac{1}{4} = \frac{x + 1}{x^2 + 3}[/tex]

We can multiply both sides by (x^2 + 3)

[tex]\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)[/tex]

[tex]\frac{x^2 + 3}{4} = x + 1[/tex]

Now we can multiply both sides by 4:

[tex]\frac{x^2 + 3}{4}*4 = (x + 1)*4[/tex]

[tex]x^2 + 3 = 4*x + 4[/tex]

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

[tex]x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}[/tex]

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

A company donated $4,250 dollars to a school. There are 50 classes in the school. If each class receives the same amount of money to plan a field trip, how much money does each class receive

*Please show you work :)

Answers

Answer:

Each class receive $85.

Step-by-step explanation:

So what you will be doing is dividing $4,250 and the 50 classes.

Hope this helps or is right at least :)

worth 10 points please help

Answers

D. 5/4 * 12/1 equals 60/4 which is 15 then minus 1 to get 14.

Due to erosion, a beach is
disappearing at a rate of -5 feet
per year. How long will it take for
the beach to lose 85 feet

Answers

Answer:

17 years

Step-by-step explanation:

do 85 divided by 5

Answer:

17 years

Step-by-step explanation:

-5 feet = 1 year

To do this you would do:

85 ÷ 5 = 17 years

Hope this helps!

need a little help please ​

Answers

Answer:

[tex] \sqrt{1314} [/tex]

Step-by-step explanation:

a²+b²=c² so: 33²+15²=x²

1089+225=x²

1314=x²

take the square root of both sides

36.249=x or

[tex] \sqrt{1314 } [/tex]

=x

Use the side-splitter theorem to solve for x in the triangle below.

Answers

Answer:

Step-by-step explanation:nfnfnfnfn

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