Sandra wrote the sequence shown:
7, 14, 25, 40, 59
Complete each of the 2 activities for this Task.
Activity 1 of 2
What explicit expression can be used to find the nth term of this sequence?

Answers

Answer 1

Answer:

2n^2 + n + 4.

Step-by-step explanation:

7, 14, 25, 40, 59

The differences  are 7, 11, 15, 19 which is  arithmetic sequence so the given sequence is quadratic.

Compile a table:

n                     1      2      3      4      5

term               7    14    25    40    59

Diff:                    7      11     15     19

Diff:                      4       4      4            - this indicates that first part is 2n^2.

2n^2               2    8    18    32     50

term-2n^2      5    6    7     8        9

- the nth term for the last sequence is  5+ (n - 1)d =  

= 5 + (n - 1)* 1

= n + 4.

So nth term for the original sequence is 2n^2 + n + 4.


Related Questions

-9.b = 45
b =
What is the answer I need to know the answe

Answers

Answer:

b=-5

Step-by-step explanation:

Divide by -9 to eliminate the -9 on -9b

(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)

-9b/-9=45/-9

b=-5

Help guys I really need it​

Answers

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

a population of 100,000 decreases by 6% each year. write a graph to explain that

Answers

Answer:

Step-by-step explanation:

Your graph equation is going to be y = 100,000 - .06x

So basically the graph is easy to explain it is 3.45 by T

Kyle found that
31/97 = 0.3196. Without doing any computation, explain how we know

that Kyle is wrong.

I need the answer really quickly!!!

Answers

Answer:

The answer actually rounds to 0.3196, but the computation is so long, we just count it as 0.3196. The real answer would be 0.31958762886.

Step-by-step explanation:

Hey guys again please I suck at math

Answers

Answer:

the correct answer is number 2

Step-by-step explanation:

X3 - 4x - 16x-24

Answer:

the answer is B

Step-by-step explanation:

X3-4x2-16x+24

help please. 10 points to who help me​

Answers

9514 1404 393

Answer:

  64/109 ≈ 0.5872

Step-by-step explanation:

41 + 23 = 64 of the events have outcome E.

An additional 35 + 10 = 45 do not.

The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.

  P(E) = 64/109 ≈ 0.5872

using the parent function f(x) = 2^x, write the new function, g(x), that transforms f(x) by shifting 6 units up

Answers

Answer:

g(x) = 2^x + 6

Step-by-step explanation:

Parent function:

f(x) = 2^x

Translation 6 units up:

g(x) = f(x) + 6

or

g(x) = 2^x + 6

identify the percent of change as an increase or a decrease 3/8 to 7/8

Answers

Answer:

133.5

Step-by-step explanation:

The price of a watch was increased by 20% to £198
What was the price before the increase?

Answers

20/100*198 it is simple
198/1.2=165
Hope it helps

Use foil method to find (w+5)(w^2+3w)

Answers

First
Outer
Inner
Last


(w + 5)(w^2 + 3w)

F (w)(w^2) = w^3 add the exponents

O (w)(3w) = 3w^2

I (5)(w^2) = 5w^2

L (5)(3w) = 15w


New expression: w^3 + 5w^2 + 3w^2 + 15w

Combine like terms.


Final answer: w^3 + 8w^2 + 15w

High-definition televisions have an aspect ratio of 16: 9. The following answer choices are television screen sizes rounded to the nearest inch. Which could be a High-definition television?

Answers

Answer:

18.5 in approx

Step-by-step explanation:

Given data

aspect ratio of 16: 9

L= 16in

W= 9 in

We want to find the diagonal of the TV

applying Pythagoras theorem

d^2= l^2+w^2

d^2= 16^2+ 9^2

d^2=256+81

d^2= 337

d= √337

d= 18.35 in

Hence the tv is 18.5 in approx

A bakery uses 44 cups of flour to make 10 loaves of bread. How many cups of flour are there per loaf?

Answers

Answer: 4.4

Step-by-step explanation:

44 divided by 10

Answer:

4.4 cups of flour

Step-by-step explanation:

You would have to divide 44(cups of flour) by 10(loaves of bread) to get the amount of cups of flour for each loaf. 44/10=4.4

In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?

Answers

Answer:

$18.15

Step-by-step explanation:

Yuki is paying tax of 4.6% + 3.65% = 8.25%

Converting to decimal form, that is 8.25/100 = 0.0825

Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.

The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.

With word problems, alwasy double check that you are answering what is actually asked.   :)

Read the following bar graph and answer the following related questions :



a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?

Answers

Answer:

who got the maximum marks? it would have been apala she got the high mark


A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?

Answers

Answer:

ima guess $262.50

Step-by-step explanation:

Does the table represent an exponential function? Explain.
A. Yes, the x-values decrease by a constant amount and the y-values are multiplied by a constant amount.
B. No, the x- and y-values show a quadratic relationship only.
C. Yes, the x-values increase by a constant amount and the y-values are multiplied by a constant amount.
D. Yes, the y-values increase by a constant amount and the x-values are multiplied by a constant amount.

Answers

Answer:

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

If angle 10 and angle 15 are congruent, which lines are parallel

Answers

Answer:

Line a is parallel with line b

Step-by-step explanation:

The answer is line A and b.

shopkeeper sells tins of the same dog food in packs of four or packs of six.

Packs of four tins cost £1. Packs of six tins cost £1.20

Which is the best value for money?
You must show your working.



Answers

Answer:

Pack of 6

Step-by-step explanation:

Pack of 4 = £1

Packs of 6 = £1.20

Price per unit of each pack:

Pack of 4 ;

Unit price : cost / units

Unit price = £1 / 4 = £0.25

Pack of 6 ;

Unit price : cost / units

Unit price = £1.20 / 6 = £0.20

Pack of 6 is the best value for money as it has a lower unit price

What is 234475 x 45678 =?

Answers

what i got for the answer is 1.07103e10

Can someone please help me find out which triangles are congruent and why please

Answers

Answer:

D and F

Step-by-step explanation:

They have the same dimensions

Choose the number line that represents the equation, 2/6 + 3/6 + 2/6 = 7/6​

Answers

Answer:

B

Step-by-step explanation:

I hope this helped, please do tell me if the answer is wrong I will fix it with explanation check!

Need help please identify the lines is it chord, secant, tangent, radius, or diameter.

Answers

Xb= radius """"""00""""""6(6(

A rectangle has length 6 cm and width 4 cm. Give the length and width of another rectangle with the same area but a different perimeter.

Answers

Answer:

length could be 8 cm and width would be 3 cm and that would have a perimiter of 24 cm also

WILL MARK YOU BRAINLIEST

Answers

Answer:

ABCD is a rhombus => AC is perpendicular with BD

=> AC = 2(2n + 5) = 30

<=> 2n + 5 = 15

=> n = 5

with n = 5 => AC/2 = 15

BD/2 = 4.5 - 3 = 17

BC² = (AC² + BD²)/4 = 514/4 = 128.5

=> BC = 11.34

Answer:

Step-by-step explanation:

The question is what does 2n + 5 represent? Is it 1/2 the line or all of AC. There seems to be a run on ambiguous questions. I'm going to assume that 2n + 5 is AC -- all of it. And 4n-3 is all of BD.

AC = 30

2n + 5 = 30      Subtract 5 from both sides.

2n = 30 - 5

2n = 25            Divide by 2

n = 25/2

n = 13.5

====================

BD = 4n - 3

BD = 4*13.5 - 3

BD = 54 - 3

BD = 51

A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost (start-up fee and monthly charge) to use the
cell phone plan for 3 months? *
O $150
$200
O $350
$750

Answers

Answer:

750

Step-by-step explanation:

200+50=250

250x3+750

Answer: $750

Step by step explanation:

Can one of y’all please help me this is Urgent

Answers

Answer:

B

Step-by-step explanation:

It’s the only one with sides that correlate

Use the fraction strips to compare 2/4 and 5/8

Answers

Answer:

Step-by-step explanation:

We are given 2 fractional numbers:

We have to use fraction strips to compare to the fractional numbers.

Let we are Comparing  with the length of  number of  sections.

i.e.

Let we are Comparing  with the length of  number of  sections.

i.e.

Now, let us have a look at 3rd part of question:

The sections of 2/4 is _____ the length of 5/8. Therefore, 2/4 < 5/8

Let the answer be .

So, the equation becomes:

So, the answers are:

2

5

Answer:

1) two

2)five

3)less than

4)<

Step-by-step explanation:

i took the test on iready :)


Given that R = 6x + 3y
Find y when x = 2 and R = 14
Give your answer as a fraction in its simplest form.​

Answers

Answer:

y = 2/3

Step-by-step explanation:

14 = 6(2) + 3y

14 = 12 + 3y

2 = 3y

y = 2/3

I NEED HELP NOW PLEASE! (Science)


A bowling ball is placed on the moon.

Which feature of the bowling ball stays the same?


A. force from gravity

B. weight

C. mass

Answers

Answer:

C. mass

Step-by-step explanation:

gravity is different on the moon

and weight is different because of that change in gravity

If the bowling ball is placed on the moon, the feature which will stays same,  mass of the ball. So option C is correct

What is Force ?

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Given that,

A bowling ball is placed on the moon

So, when ball is placed on moon, it affects the following factors,

Force from gravity - On the Earth and on the Moon the gravitational force will be different.

Weight - On the Earth and On the Moon the gravitational acceleration will be different so weight will be different on both the planets.

Mass- It is the property of the object and it is independent from the planets, it will be same on every planet.

Hence, the  Mass is same on both the planets

To know more about Force check:

https://brainly.com/question/13191643

#SPJ6

12.7
4. Mariana compró 46 pies de listón azul, para hacer adornos navideños, ¿cuántos
centímetros de listón tiene? (1 pie=0.3048 m)
1
3
14​

Answers

Answer:

3500cmnjdkslkrkdjdsllwldkkdkrkfjfrkrk

Other Questions
-9.b = 45b =What is the answer I need to know the answe Although Thomas Jefferson believed in equality, he stillA. was poor.B. owned slaves.C. respected the king.D. thought women should vote. Why is nobody helping :(PLS HELP DUE TODAY NEED DONE ASAPREAD THE PASSAGES AND MAKE A PARAGRAPH AND WRITE A RESPONSE TO THE PASSAGESTATING YOUR ARGUMENT (do you agree or disagree) In addition to stating your argument, you will give two claims, as well as evidence to support your claims. Do research online to find your evidence (be sure to cite that evidence).Today's Lesson: Hip-Hop by Anita PerryYear after year, most literature classes cover the same authors and genres. Its time that educators made a change. For teachers to keep current and engage students, we must allow students to read diverse texts from their own generation. As a first step, hip-hop should be included in the literature curriculum.This suggestion is not as odd as it may seem. After all, hip-hop is simply another form of poetry, as are all song lyrics. The verses of hip-hop have rhyme schemes, rhythms, and meters. In addition, hip-hop lyrics deal with the same timeless themes as other forms of poetry, including heartache and the challenges of growing up. In many ways, todays hip-hop artists are contemporary versions of William Shakespeare and Emily Dickinson, only with a modern, fresh perspective...PromptsExplore the author's argument. State that argument, as well as her two claims and reasons. The format of your response should be as follows:Argument:Claim 1:Reason:Claim 2:Reason:In a paragraph (5-7 sentences), write a response to the passage, stating your argument (do you agree or disagree?). In addition to stating your argument, you will give two claims, as well as evidence to support your claims. Do research online to find your evidence (be sure to cite that evidence). A cell phone plan costs $200 to start. Then there is a $50 charge eachmonth. What is the total cost (start-up fee and monthly charge) to use thecell phone plan for 3 months? *O $150$200O $350$750 Hello Im French and I need you for my English exercices , because Im so bad in English and the French cant do the exercises .2. Who is who ? Match the number corresponding to the characters name the corresponding to his/her role in the text .1.Larry Champagne 2. Jerrick 3.Dawn Little 4.Ernestine Black 5. Angelo Mc Knight, Gregory Mc knight ,imani Butler6.Ken Russel 7.Judy HetterscheidA.The heros motherB. The heros little brother C. The heros friendsD. The hero E. The bus driver F. The principal of the school G. A teacher 1:...... 2:...... 3:...... 4:..... 5:......6:..... 7:..... what are the bases on which the customs are different? Part A: Select the main argument of the text. (RI.3.8)A. While Europe may be engaging in a war, it is FDRs goal to keep America neutral and out of the war.B. While America may be fighting a war in Europe, it is FDRs goal to keep the fighting off of American soil.C. While Europe may be trying to go to war with America, it is FDRs goal to solve the conflict peacefully.D. While America may be preparing to fight in a war, it is FDRs goal that the American people will continue to be neutral towards one another. 5 x (h + 3) for h = 7Evaluate the expression A bakery uses 44 cups of flour to make 10 loaves of bread. How many cups of flour are there per loaf? If a number is reduced by 40% and it becomes 192, what was the original price? How the colonists attempt to avoid paying the imposed taxes/duties placed on sugar by British Parliament?Do you think it was correct for the British Colonists to smuggle goods instead of paying the tax on the good Can someone please help me find out which triangles are congruent and why please what colony was established by Sir Walter Raleigh? what became of raleigh's first and second attempts to colonize? Why do you think its useful for scientists to classify matter? In other words, why do you think scientists need to identify something as a pure substance? Why do you think they need to know if something is a compound or an element? Use foil method to find (w+5)(w^2+3w) Where on earth did life first begin? how is Pluto different from planet X?A. Planet X was never discovered; Pluto was B. Planet X Is a gas giant; Pluto is a dwarf planet C. Planet X has several moons; Pluto has no moonsD. Planet X contains single-celled life forms; Pluto does not need this right now plz help me PLEASE HURRY DUE IN 5min WILL MARK BRAINLIEST5 ) Wanting to be a good teammate, Erika never mentioned the other players. She expected them to step up and admit their involvement. She ended up taking the fall alone. Her teammates avoided her, saying they were happy the cheater was off of the team. With the exam postponed, they were treated as heroes for winning the championship without her. Erika transferred to another school, remembered as the girl who cheated to make straight A's. Today, a star athlete and college scholar, Erika blames past mistakes on no one but herself. The ball is in her hands again. This time she plans on making better decisions.Which of the following facts is expressed implicitly in paragraph 5?Erika transferred to another school.Erika's teacher postponed the exam.Erika's team won the championship.Erika was hurt by her teammates. Which came first, rubber fever, the gold rush, the Civil War, or the Seneca Falls Convention?