Write a recursive formula for the explicit formula

A(n) = -1 + (n-1)(-2)

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found by adding a common difference to the previous term

Given the explicit formula

A(n) = - 1 + (n - 1)(- 2)

This is an arithmetic sequence with explicit formula

A(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

For the given explicit formula, then

a₁ = - 1 and d = - 2

The recursive formula is then

[tex]a_{n+1}[/tex] = [tex]a_{n}[/tex] - 2 ; a₁ = - 1


Related Questions

A rectangle has the area of 60in2 . What can be its dimensions? Copy and fill in the chart.

Answers

Answer:

The dimensions can be 6 inches by 10 inches

which one of those equations match the graph

Answers

Incase you didn't get the notification on your other post.

Answer:

It's D)

C is incorrect because the constant is + 1, not - 8

A is incorrect because the f doesn't go up by 2 for every x value

B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.

D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets

First divided five from 115 and then the answer I got was 23 then I multiplied it by 23 and then I got 184 and so, Eight tickets cost $180

A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

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Heather and her friends are painting the
walls of a storage room in the basement.
Each wall is 9 m long and 2 m high. There
are two doors, each 1 m wide and 2 m
high. The doors are not being painted. A)One litre of paint covers 10 m². How
many litres will heater need?
B) the price of the paint is $3.75/L. How much will the paint cost?

Answers

Answer:

a) 6.8 L, b) $25.50

Step-by-step explanation:

Find the area to be painted:

4*(9*2) - 2*(1*2) =72 - 4 =68 m²

a) Paint needed:

68/10 = 6.8 L

b) Cost of paint:

6.8*$3.75 = $25.50

help meeeee pleaseeeeeeeeeeeee

Answers

Answer:

a) 92 m

b) 74 cm

Step-by-step explanation:

a)

2(length) + 2(width) = perimeter

2(x) + 2(73) = 330 m

2x + 146 = 330

2x = 184

x = 92 m

b)

length * width = area

85 * x = 6290 cm²

85x = 6290

x = 74 cm

( 1 - 7n) times 5

What are the steps to solving it?

Answers

Answer:

5 - 35n.

Step-by-step explanation:

5(1 - 7n)

Using the Distributive Law:

= 5*1 + 5 *-7n

= 5 - 35n.

the ratio of calamansi and pomelo trees in jacintos farm is 8:5. how many trees of each kind are there if there are 793 trees in his farm?

Answers

The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees

From the given information, we learnt that:

The ratio of the calamansi and  pomelo trees in Jacintos farm  = 8:5

If the total number of the ratio = 8 + 5 = 13

The proportion of the calamansi can be estimated as:

= (8/13) × 793

= 488 trees

The proportion of pomelo trees is:

= (5/13) × 793

= 305 trees

Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.

Learn more about ratio here:

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There are  488 calamansi trees

There are 305 jacintos trees

Let x represent the number of calamansi trees

Let y represent the number of Pomelo trees

8 +5= 13

793/13

= 61

8(61)= 488

5(61)= 305

Hence there are 488 calamansi trees and 305 jacintos trees

Please see the link below for more information

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5=r÷¼

How do I do this? This makes no sense to me​

Answers

Answer: 5=rl

Step-by-step explanation:

Answer:

U can download apps to help u hope you find your answer

find the slope of the line

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

I picked two points on the line: (0,3) and (-3,0). Then, I used the formula for slope which is the change in y over the change in x and got the answer 1.

Can someone pls help me!

Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?

Answers

Answer:

Mrs. Storz must give 45 minutes

Step-by-step explanation:

Create a proportion:

t = total time given for all questions

[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]

Cross multiply:

3t = 135

Divide both sides:

3t/3 = 135/3

t = 45

A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of a in the drawing below:

Answers

Answer:

a = 21

Step-by-step explanation:

Based on the information given, we can calculate that

WZ x 3 = a

so...

7 x 3 = 21

Hope that helped!! :)

Answer:

I think it is 21 since the relationship between 4 and 12 4 * 3 is equal to 12 so I did the same for each side but angles don't change so 7*3=21

The product of a number t and 3 decreased by 1 is 11.Write an equation that models the verbal sentence. Solve the equation. What is the number?

Answers

3t-1=11
Add one on both sides
3t=12
Divide 3 on both sides
t=4

The type of sampling method in which a sample frame is divided into groups, which are highly similar to the others is:

Answers

The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other

Simple random sampling.

According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.

As a result of  this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.

In this method, we can see that there are different types of random sampling techniques which includes:

Simple random samplingStratified random samplingCluster random samplingSystematic random sampling

Therefore, the correct answer is Simple random sampling.

Read more here:

https://brainly.com/question/17019103

help me asap! please i need help​

Answers

Answer:

1,000

Step-by-step explanation:

....................................................................................

Answers

Answer:

...................................................

Step-by-step explanation:

......

Answer:

Step-by-step explanation: what sicnificant figures?

0.69 x 10 to the 3rd power

Answers

Answer:

690

Step-by-step explanation:

0.69 x 10^3=

0.69 x 1000=

690

Answer:

Step-by-step explanation:

0.69*1000= 690

help help ples it due today . ​

Answers

Answer:

Rises -4 and runs -5

Step-by-step explanation:

So the slope is -4/-5

Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.

Questions: Underline the correct answer.

1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).

Answers

We want to see underline the correct part in each statement.

1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

If you want to learn more, you can read:

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The answer is right, but I am not 100 percent sure.

Answers

Step-by-step explanation:

a bc it should be good anser

Please find x and y... I will mark you brainliest

Answers

Answer:

x.=6 y=7

Step-by-step explanation:

glad glad I could help

Answer:

x = 6

y = 7

Step-by-step explanation:

Side AB and side DC is equal so let's put it in a equation.

2y - 8 = y - 1

Use APE or Additive Property of Equality\

2y - y = 8 - 1

y = 7

So the value of y is 7.

Now substitute it to line BC.

y + 6

7 + 6

= 13

Since line BC and line AD has equal sides, let's put it in a equation.

2x + 1 = 13

2x = 13 - 1

2x = 12

Use DPE or Division Property of Equality

2x/2 = 12/2

x = 6

At a certain high school, 38 out of 108 students surveyed have a pet at home. If there are 2,000 students in the school, estimate the number of students in the school who have a pet at home.

Answers

Answer: About 703-704 students.
Explanation: 2000 • 38/108 = 703 19/27, and you can not have 19/27 of a person.

Find an equation of the vertical line through (4,-9)

Answers

Answer:

x = 4

Step-by-step explanation:

Whenever it asks for the equation of a vertical line all you have to do is look at the x point given to you which is 4 and make x = 4, doing this means that this certain vertical line covers all possible y values which includes -9 as well which is why the answer is x=4

A bird is 300 feet above sea level. If it soars downward to 135 feet above 10 points
sea level how far did it travel?

Answers

It is 300 - 135 so it is 165 feet downward.

Whoever answers first gets 5 stars, and a thanks. And if possible a brainliest

Answers

Answer:14.518

Step-by-step explanation:

Choose the steeper line.


y=-6x+1

or
y=-3x-2

Answers

Answer: y=-3x-2

Step-by-step explanation:

Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.

Solve pls brainliest

Answers

Answer:

Hi, the answer should be 8.1 dollars

$2.70

I multiplied 90x.03

.03 is 3% is decimal form

Hope this helps

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer:

2.8 miles

Step-by-step explanation:

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

7 : 60 = x : 24

x = 7 * 24 : 60

x = 2.8 miles

Which equations represent exponential growth? Which equations represent are exponential decay?
pls help​

Answers

Answer:

When the base is less than 1 it's Decay

When the base is greater than 1 it's Growth

plz help with this one its the last question I need to pass this assignment

Answers

Answer:

x = 20

Step-by-step explanation:

these 3 angles form a straight line, which is 180°

3x + 80 + 2x = 180

5x + 80 = 180

5x = 100

x = 20

1st ∡ = 3(20) or 60°

3rd ∡ = 2(20) or 40°

Answer:

20

step by step explanation:

this angle is an angle on a straight line; which means, it is 180 degrees.. so :-

2x + 3x + 80 = 180 ( sum of the angles on a straight line is 180 ) < this is the theorum that has to be written

5x + 80 = 180n it became 5x coz u have to add the like terms

5x = 180 - 80 u have to subject the 5x

5x ÷ 5 = 100 ÷5 u need to cancel the 5... so since 5 is multiplied to X , to cancel it we need to divide it

x = 20

2x = 40 (20 × 2)

3x = 60 (20×3)

hope this helps

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