Write a recursive rule for the sequence –17.-11, -5, 1, ...
show complete working format please ​

Answers

Answer 1

Answer:

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

- 11 - (- 17) = - 5 - (- 11) = 1 - (- 5) = 6

A recursive rule allows a term to be found by adding d to the previous term, thus

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 with a₁ = - 17


Related Questions

Simplify the following expression. (19x + 4y) + (49x + 32y)

Answers

Answer: 68x + 36y

Step-by-step explanation:

Combine Like Terms:

= 19x + 4y + 49x + 32y

= (19x + 49x) + (4y + 32y)

= 68x + 36y

Hope this helped you!

Answer:

68x + 36y

Step-by-step explanation:

You can compeletely get rid of the parenthesis because it is addition through and thorough.

You have 19x + 4y + 49x + 32y

You can combine like terms to get

19x +49x which is 68x

and

4y + 32y which is 36y

You now have 68 + 36y which cannot be simplified anymore because the variables are different.

Hope this helps!

what does each letter of pe = mgh mean?​

Answers

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity  and h is the height in meters.

Hope this helps

Answer:

physical education

Step-by-step explanation:

p: physical

E: education

What number would go in the blank? 4 x 6 = 6 x ___
6

4

10

Answers

( 4 )is this 1st grade or something?

Answer:

4

Step-by-step explanation:

4 x 6 = 6 x 4

Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3

Answers

Given:

Kevin bought twelve 8-ounce bottles of water.

1 ounce ≈ 30 ml

To find:

The quantity of water in milliliters

Solution:

We have,

1 ounce ≈ 30 ml

8 ounce ≈ 8×30 ml

8 ounce ≈ 240 ml

It means, one 8 ounce bottle can hold about 240 milliliters of water.

Total number of bottles = 12

So, the quantity of water Kevin buy in milliliters is

[tex]12\times 240=2880[/tex]

Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.

FIRST ANSWER GETS BRAINLY
What are two ways to start solving the equation 4(c - 3)=8? Choose BOTH ways
1. Add 3 to both sides to get 4c = 11

2. Divide both sides by 4 to get c - 3 = 2

3. Use the distributive property to get 4c - 3 = 8

4. Use the distributive property to get 4c - 3 = 8

5. Subtract 4 from both sides to get c - 3 = 4

Answers

Answer

2, i can't find any other solution

Step-by-step explanation:

you divided both sides by 4 you get x - 3 = 2/2 plus 3 = 5 = x

To solve an equation 4(c - 3) = 8 the correct ways are

1. Use the distributive property to get 4c - 12 = 8

2. 2. Divide both sides by 4 to get c - 3 = 2

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

The two ways to start solving the equation 4(c - 3) = 8 are:

Use the distributive property to get 4c - 12 = 8, then add 12 to both sides to get 4c = 20, and finally divide both sides by 4 to get c = 5.

This method uses the distributive property to simplify the left-hand side of the equation before solving for c.

Divide both sides by 4, and we get,

4(c - 3)/4 = 8/4

c - 3 = 2

c = 5.

Therefore, the two ways are given above.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary

Answers

Answer:

6.4

Step-by-step explanation:

The ___ is the set of outputs for a function.

Answers

Answer:

Range

The set of output values is called the range of the function.

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer:

Option (6). HL

Step-by-step explanation:

Given:

From the right triangles ΔBAC and ΔBDC,

AC ≅ CD

∠A = ∠D = 90°

To Prove:

ΔBAC ≅ ΔBDC

            Statements                       Reasons

1). AC ≅ DC                        1). Given

2). BC ≅ BC                       2). Reflexive property

3). ΔABC ≅ ΔBDC            3). By HL property of congruence of right triangles

Therefore, Option (6) HL will be the correct option.                              

e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form

Answers

to work this out you need to solve for your y-intercept. by using what you have.

once you do so you get the answer y=1/2x+3


A bag of apples costs a dollars.

A bag of oranges costs 2 dollars more.

If Dorie bought 5 bags of apples and 5 bags of oranges, how much did Dorie pay in terms of a?

Mark all choices that are true.

A 5 (2a + 2)
B 10a + 10
c 10a + 2
D 5 (a + a + 2)
E 5a + 2a

Answers

Answer:The answer is A,B, and D

Step-by-step explanation:I just know lol

What is this answer?

Answers

A because they all something I forgot but a

In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.

Answers

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°

HELP PLEASE!! I NEED TO GET THIS TURNED IN

Answers

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

What is the equation of a line that passes through (0, 7) and has a slope of -2?

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]

y = -2x + b

7 = -2(0) + b

7 = 0 + b

7 = b

Put everything we know/solved for into the original formula.

y = -2x + 7

Best of Luck!

A triangle can have sides of 12, 19, and 30.
True or false

Answers

Answer:

True

Step-by-step explanation:

According to the Triangle Inequality, the sum of any two sides of a triangle has to be greater than the third side. 12+19 = 31 which is more than 30 so a triangle can have sides of 12, 19 and 30.

Answer:

false

Step-by-step explanation:

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

Amica surveyed 100 students in sixth grade about their favorite sports.
1\5 of the students said basketball was their favorite sport

3/4of the students said baseball was their favorite sport
• The remaining students said they didn't like any sports

How many students said they didn't like any sports

0 75
O 20
O 55
O 5

Answers

Answer:

5

Step-by-step explanation:

Add 1/5 + 3/4. Answer: 19/20 likes sports.

Help please, question attached

Answers

Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

                               

The answer would be C. x = 8.

I hope that this helps! :)

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

Stephanie's cable company charges $29.95 per month, plus $3.00 for each on-demand
movie rented. If Stephanie's cable bill last month was $44.95, how many on-demand
movies did she rent last month?



Pls help me plssssssss

Answers

Answer:

5

Step-by-step explanation:

44.95-29.95=15/3=5

NO JOKING AROUND OR I WILL REPORT WHO EVER DOES

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12

Answers

Answer:

Its 66 i just did a 50 question quiz and got it right

Step-by-step explanation:

express 1 as a percent

Answers

Answer:1 the answer would be 1%

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

divide 1 by 100 then get the answer

ratios that are equivalent to 40:28

Answers

Answer:

10:7

Step-by-step explanation:

I need an answer ASAP -

Martha is spending the afternoon at the bowling alley with friends. She rents shoes for $5 and must pay $4 per hour to participate. Represent this situation with a linear equation.

Answers-
a. y=5x+4
b. y- 4x+5
c. y= 4x
d. y=5x

Answers

Answer:

y=4x+5

Step-by-step explanation:

x= the number of hours

y= total number of money

4x means each hour = 4 dollars

5 = the rent of the shoes

Therefore, y = 4x + 5

A ticket to see your favorite baseball team costs ​$43.76. That price decreases by ​$0.33 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses games. What is the price of a ticket after the team loses ​games?

Answers

Answer:

C=$0.33L-$43.76

I hope this is good enough:

pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?

Answers

174.97$ is the answer.
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$

Which of the following does not show the Commutative Property of Addition or Multiplication?

a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3​

Answers

Answer:

XY - 9 = XY

Step-by-step explanation:

You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps

HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?

Answers

About 12,000 I’m not sure but I searched it up and it says that

Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)

Answers

Answer:

4(2a+5)

Step-by-step explanation:

4 times 2a= 8a

4 times 5= 20

The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. What percent represents the amount of paper used this month? *

Answers

Answer:

You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.

If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.  

If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.  

this pattern keeps repeating.

y+2=−3(x−4)= whats the missing equation

Answers

I think x= -7 if I’m wrong my bad, good luck !
Other Questions
What was the culture of the Middle Colonies like? The Texans felt they could successfully defend the Alamo for all of the following reasons EXCEPT:a.The morale was high and the belief in independence was strong.b.They had won all the other battles against Mexican troops.c.They knew that Santa Annas army would never arrive in time.d.They thought reinforcements would arrive to help them. It also detects if you are right or wrong In counseling and psychotherapy groups, member-to-member contact outside of group often results in _____ and _____. COURSE HERO A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length in the poem, "the road not taken"which of the following questions, best expresses the speakers dilemma?A. which path should I choose?B. what will happen if I choose the wrong path?C. when will I learn from my mistake?D. is autumn the best time to travel? Why did Louisiana repeal the head and master statutes? They were unfair to African Americans. They were unfair to men who did not own land. They were unfair to farmers. They were unfair to women. Which three practices can prevent cross-contamination?WHICH ARE SAFE STORAGE PRACTICES1. LEAVING RAW MEAT ON A PREP COUNTER TO THAW2. USING SEPARATE EQUIPMENT FOR PREPPING RAW FOOD.3. WASHING HANDS AFTER COMPLETING ALL PREP TASKS. 4. KEEPING LADIES WITH THE HANDLES UP. 5. STORING RAW MEAT IN LEAK-PROOF CONTAINERS. Angelica has a legal piece of construction paper she is using to make a birthday card for her sister. The paper is 11 inches by 14 inches long. Angelica folds it along the diagonal. Which measurement is closest to the length of the diagonal in inches?25 in8.66 in7.07 in17.8 in PLZ HURRYUse the information from the article to answer the question.MeteorsWhich statements apply to meteors?Meteors are bits of material falling through Earth's atmosphere.Meteor showers are associated with asteroids.Meteors create a streak of light.The largest meteor found has a mass of 54,000 kg.Meteor showers occur in the autumn and winter. is a composer musical manuscript ( will give brainliest ) when the sky is a surreal sea in which you drown.This image can be best interpreted as meaning that-A. a child sees the sky as a magical ocean full of mysterious creaturesB. the speaker hopes to save his daughter from a terrible futureC. artists experience a sea of wild and unpredictable emotionsD. there is a danger that artists may get lost in their own creations I need the anwser soon!!Which two statements describe what happens to energy during cellularrespiration?O A Chemical energy is transferred to molecules of ATP and used tocarry out fe processes.B. Some thermal energy is transformed into chemical energy-C. Some chemical energy is transformed into thermal energyD. Light energy is transferred to molecules of ATP and used to carryout te processes Harlan Granger wanted the Logan land because (A) he didnt think black people should own land, (B) it was richer than his, (C) it was part of his familys land before the Civil War. (Roll of Thunder, Hear Me Cry) help asap tysm!!!!!!! E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units? I dont understand help me plz hard fkkfjfcjcjjc ekkfjfjfhgfjfnfhfhfhrj Need help!! How do I figure out the question. A historian finds a scroll that belongs to an ancient Chinese civilization. The scroll describes how good and kind a ruler was. The historian immediately starts writing a biography of the ruler based on the scroll.What is likely true about the article that the historian is writing?A. The article will be credible because the historian is highly qualified and quite famous.B. The article will be interesting because it presents new information about ancient China.C. The article will be biased because the historian is using only one source about the ruler.D. the article will soon be published in a leading historical journal because it contains new facts.