If the nth term of a number sequence is n^2 + 2,
find the first 3 terms and the 10th term ​

Answers

Answer 1

Answer:

The first three terms are [tex]3,6,11[/tex]

The 10th term is [tex]102[/tex]

Step-by-step explanation:

An ordered list of numbers is known as a sequence such that each number in the sequence is called a term.

The nth term is [tex]a_n=n^2+2[/tex].

To find the first 3 terms, put [tex]n=1,2,3[/tex]

[tex]a_1=1^2+2=1+2=3\\a_2=2^2+2=4+2=6\\a_3=3^2+2=9+2=11[/tex]

To find the 10th term, put [tex]n=10[/tex] in [tex]a_n=n^2+2[/tex]

[tex]a_{10} =(10)^2+2=100+2=102[/tex]


Related Questions

After Stan makes a 15% down payment on a $7,000
motorcycle, how much will he still owe?

Answers

1,500 I thinkkkkkkkkk

7. The dominant trait for being tall is (A). The recessive trait for being short is (a). Based on the Punnett square what percentage of offspring will be short?
100%
75%
50%
25%

Answers

Answer:

50%

Step-by-step explanation:

Does anyone know how to solve this

Answers

Hey I think the answer is letter b if not
I am sorry

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}[/tex]

B. 100°

[tex]\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:ChaEunWoo2009\:\:\:\:\:\:\:\:}}}}[/tex]

#CarryOnLearning

what two numbers multiply to 24 and add 14

Answers

Answer:

its 2 and 12

just basic math lol

Answer:

2 and 12

Step-by-step explanation:

2x12=24

2+12=14

Find the measure of the indicated angle

Answers

Answer:

x = 7

angle (7x + 8) = 57 degrees

Step-by-step explanation:

all triangles interior angles add up to 180 degrees.

(7x+8) + 90 + 33 = 180

7x+8 = 57

7x = 49

x = 7

(7x + 8) = 57

Answer:

57 degrees

Step-by-step explanation:

7x+8+33=90

7x=90-8-33

=90-41

7x=49

x=7

5x555x666x7777x88888

Answers

Answer: multiply

Step-by-step explanation:

Answer:

1.2775928e+15

Step-by-step explanation:

mhmm

1. Expresa cada función cuadrática f en la forma f(x)-yo = p(x – xo) x ϵ R, donde xo , yo , p ϵ R son elegidos apropiadamente. Indica las coordenadas
del vértice de la parábola, el mínimo o máximo de la función f, sobre todo R. Traza la gráfica de f.
a) f(x)= 2x2 + 3x -5, ϵ R,
b) f(x)= -3x2 + 7x +9, ϵ R,
c) f(x)= - x +1, ϵ R,


AYUDA LE DARE CORONA PLIS

Answers

Answer:

Step-by-step explanation:

1. Express each quadratic function f in the form f (x) -yo = p (x - xo) x ϵ R, where xo, i, p ϵ R are appropriately chosen. Indicate the coordinates

of the vertex of the parabola, the minimum or maximum of the function f, especially R. Draw the graph of f.

a) f (x) = 2x2 + 3x -5, ϵ R,

b) f (x) = -3x2 + 7x +9, ϵ R,

c) f (x) = - x +1, ϵ R,

HELP YOU GIVE YOU CORONA PLIS

Last month we had only five sunny days. If there were 30 days last month, the ratio of sunny days to the total number of days is ____.

Answers

Answer:

1:6

Step-by-step explanation:

5:30 simplified is 1:6

Answer:

5:30 Simplified: 1:6

Step-by-step explanation:

Hope this helps, and don't forget to follow!

A phone company charges $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, what is the total amount you will pay for phone service?

Answers

Answer:

the answer is below :)

Step-by-step explanation:

BigBytes will be 100 +10x = y ($100 flat fee plus 10 times the number of gigabytes equals total cost).

GoGig will be 120 + 5x = y.  ($120 flat fee plus 5 times the number of gigabytes equals total cost).

Now set them equal to each other and solve for x to find where the gigabytes are the same.

100 + 10x = 120 + 5x

Subtract 100 from both sides:  10x = 20 + 5x

Subtract 5x from both sides:  5x = 20.

Divide both sides by 5:  x = 4.  4 gigabytes is the answer.

a brainliest would be appreciated :)

The total amount you will pay for phone service is 4 gigabytes.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

BigBytes will be 100 +10x = y

Therefore , We have $100 flat fee plus 10 times the number of gigabytes equals total cost).

GoGig will be 120 + 5x = y.  

We have $120 flat fee plus 5 times the number of gigabytes equals total cost).

Now set them equal to each other and solve for x;

100 + 10x = 120 + 5x

Now Subtract 100 from both sides:  

10x = 20 + 5x

Then Subtract 5x from both sides:

5x = 20.

Now Divide both sides by 5:  

x = 4.  

Hence, the total amount you will pay for phone service is 4 gigabytes.

Learn more about equations here;

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Latrell wants to fill his water bottle between classes, but the water fountain next to his classroom is frustratingly slow. It takes Latrell 5 seconds to get each ounce of water in his bottle. There is a proportional relationship between the amount of water (in ounces) Latrell puts in his water bottle, x, and how long in seconds) it takes to get that amount, y. Graph this relationship. Select two points to draw a line.

what is the slope of the line? _____​

Answers

Answer:

Step-by-step explanation:

Slope = rise/ run, or y∨2 - y∨1/ x∨2 - x∨1

5-10/ 1-2 =

-5/-1 = 5

The slope of the line drawn from the given data is 5.

What is the slope?

A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Given this, Latrell fills his bottle with one ounce of water in five seconds. The amount of water Latrell puts in his water bottle (in ounces), x, and the time (in seconds) it takes to get that amount, y, are proportionate. This connection can be graphed. Since, the line will pass from the origin(0, 0).

Since given y is the directly proportional equation of the line will be;

y = mx

where m is the slope of the line

Also given, filling the bottle at every ounce requires 5 seconds of time. hence, the line will go from (1, 5)

Thus, the value of the m will be;

5 = m *1

m =5

Therefore, the slope of the line is 5.

Learn more about the slope here:

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A P E X

If each of the numbers in the following data set were multiplied by 18, what would be the new median of the data set? 14, 20, 18, 58, 71, 36

A. 504
B. 360
C. 324
D. 648​

Answers

Answer:

504

step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

504

this killing me pls help ‍♀️

Answers

Answer:

p=-2

Step-by-step explanation:

Start off by adding 3 to both sides:

-6p-3=9

    +3 +3

Now you have this:

-6p=12

Now divide both sides by -6

-6p/-6=12/-6

p=-2

I hope this helps, and have a great day! <3 :)

Answer

-6p - 3 = 9

     + 3 + 3

-6p = 12

 6      6

p = -2

Need help po. Salamat

Answers

Answer:

1. y ≥ 100

2. y ≤ 300

3. y ≥ 20000

4. 2y ≥ 80

5. 2y ≤ 90

Step-by-step explanation:

Let y be the variable.

1. The discount is not less than 100.

If the discount (i.e y) is not less than 100, it means it is either 100 or greater than 100.

This can be written as:

y ≥ 100

2. The cost of the book is at most 300.

This implies that the cost of the book (i.e y) is either 300 or lesser.

This can be written as:

y ≤ 300

3. His monthly income is at least 20000. This simply means that his monthly income (i.e y) is 20000 or greater than 20000.

This can be written as:

y ≥ 20000

4. Twice the number is at least 80.

Let the number be y.

Twice the number y can be written as:

2y

But twice the number is at least 80.

This means that twice the number is 80 or greater than 80. This can be written as:

2y ≥ 80

5. Twice the measure of the acute angle is not more than 90 degree.

Let the angle be y.

Twice the angle can be written as:

2y

But twice the measure of the angle is not more than 90 degree. This implies that twice the angle is 90 or lesser than 90. This can be written as:

2y ≤ 90

PLEASE PLEASE HELP MEEE

Answers

Answer:

24

Step-by-step explanation:

1/2bh

What is this -5/7 divide by -1/3

Answers

Answer:

15/7

Step-by-step explanation:

Answer:

15/7

Step-by-step explanation:

(-5/7)/(-1/3)=(-5/7)(-3/1)=15/7

Catherine is adding fractions for her homework. Here is some of the work that Catherine has done. 2/3 + 3/5 = 5/8. In the space below, explain the error that Catherine made when adding.

Answers

Step-by-step explanation:

2/3+3/5

=10+9/15

=19/15

The mistake she made was that she didn't took right LCM.

The value of the fraction 2/3 + 3/5 is 19/15.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

2/3 + 3/5

= (10 + 9)/15

= 19/15

Thus,

The value is 19/15.

Learn more about fractions here:

https://brainly.com/question/24370499

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how many inches are in a feet

Answers

Answer:

1 foot = 12 inches

Step-by-step explanation:

Mel is taking her holidays. She receives $2937.50. This includes her normal pay
and 17.5% leave loading. How much is the leave loading?

Answers

17.5% leaving load
You do 0.0175 divided by the money
$2937.50
———-
0.0175

Who ever does this for me will get brainly

Answers

Answer:

sorry no can do

Step-by-step explanation:

hehhehehehehehhehe

plz help math question

Answers

Answer:

y = -2x +20

6x - 5y = 12

Put the value of y in 2nd equation

6x - 5( -2x +20 ) = 12

6x +10x -40 = 12

16x = 12 +40

16x = 52

x = 13/4

Putting the value of x in equation 1

y = -2x +20

y = -2(13/4 ) +20

y = 27/2

Do mark me as brainly. THANKS

16d + 20c + 5d -7 - 8c - 7d + 3 Simplify the expression above:

Answers

Answer:

14d + 12c -4

Step-by-step explanation:

pls help
will mark brainliest to who answers first

Answers

Answer:

y=10

x=10

Step-by-step explanation:

THis is isosceles triangle

180-90-45=45

used pyagorous therum thingy

10over2= square root of 200

so c2=asquare X b squared in this case x=y

so 200/2 = 100

x=100square

y=100 square

simplify = 10

Applying Properties of Parallelograms, Rhombi, Rectangles, and Squares
Given the following parallelogram: Solve for x,
19x + 8
17% - 50

Answers

9514 1404 393

Answer:

  x = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so the two marked segments are the same length.

  17x + 50 = 19x + 8

  42 = 2x . . . . . . . . . . subtract 8+17x

  21 = x . . . . . . . . . . .  divide by 2

The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)?

a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero

(−4, 0), (0, −28), (7, 0)
(−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0)
(x, x2 − 3x − 28) for all real numbers
(x, y) for all real numbers

Answers

Answer:

C. (x, x2 − 3x − 28) for all real numbers

Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.

Constructing a Function Graph:

⇒f(x) = x² − 3x − 28

A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f. The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.

Solving equation:

⇒f(x) = x² − 3x − 28

⇒f(x) = x² − (7−4)x − 28

⇒f(x) = x² − 7x+4x − 28

⇒f(x) = x(x −7) +4(x −7)

⇒f(x) = (x −7) (x+4)

Please find the attached file.

Find out more about the graph function here:

brainly.com/question/15165011

please help me, this is late and i will get in soooo much trouble if i do not complete this

Answers

Answer:

(D)

Step-by-step explanation:

I dont know tis for sure and so i hope im right :)

I believe it is A. This is because to find the exact ratio you will need all the people if you take a few you wont know the total. I hope this is helps.

3. There were 567 whos in Whoville. Each who ate 814 bowls of
stew. How many bowls of stew were eaten all together?

Answers

All together, there were 461,538 bowls of stew eaten all together.

HELLLLLLLLLLLLOOOOOOOO HELPPPPPPP

Answers

Answer:

MARK ME AS BRILLANT ^_^ ~_~

Step-by-step explanation:

Some one help please

Answers

6.5. 10 ............

PLEASE HELP MEE EVERYONE IS WASTING MY POINTs PLEASE

Answers

Answer:  c = 0.0325d

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

Explanation:

For each row, divide the earnings over the sales.

In row 1, we have 22/673 = 0.0327 approximately In row 2, we have 37/1298 = 0.0285 approximately In row 3, we have 101/3277 = 0.0308 approximately In row 4, we have 150/5180 = 0.0290 approximately

All of these decimal values have the following conversions to percentages

0.0327 = 3.27% 0.0285 = 2.85% 0.0308 = 3.08% 0.0290 = 2.90%

If we add up those percentages and divide by 4, we get the average percentage

(3.27+2.85+3.08+2.90)/4 = 3.025

So the average percentage of these four is 3.025%

So for instance, if you made $1000 in sales, then 0.0325*1000 = 32.50 would be the estimated earnings.

A good estimate in my opinion is the equation c = 0.0325d since 3.025% converts to the decimal form 0.0325

Another method you could use is linear regression to help estimate. Though this method is a lot more complicated involving many more steps. It's better to use technology (eg: graphing calculator) if you go this route. The linear regression line is approximately y = 0.02896x + 2.00732; we can see the slope 0.02896 isn't too far off from 0.0325. Other forms of regression are possible as well.

3.(x + 2) + (2x + 3) = 23

Answers

Answer:

x = 6

Step-by-step explanation:

(x + 2) + (2x + 3) = 23

Combine like terms

3x +5 = 23

Subtract 5 from each side

3x+5-5 = 23-5

3x = 18

Divide each side by 3

3x/3 = 18/3

x = 6

Answer:

x = 6

Step-by-step explanation:

1. Remove parentheses where unneeded. x + 2 + 2x + 3 = 23

2. Add constants. x + 5 + 2x = 23

3. Combine like terms. 3x + 5 = 23

4. Subtract "5" from the constants on both sides of the equation. 3x = 18

5. Divide both sides by 3. 3x/3 = 18/3

6. Simplify. x = 6

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