Work out the nth term of the following sequence:
7, 16, 31, 52, 79

its a quadratic sequence and i worked out the second difference (6) so know its 3n² but i don't know the rest

Answers

Answer 1

Answer:

Step-by-step explanation:

Since it is given that it is quadratic it is of the form   f(n)=an^2 + bn+c.

Since we know a few terms we can plug in to get some equations:

f(1)= a +b+c = 7

f(2)=4a+2b+c = 16

f(3)=9a+3b+c = 31

Now you've got yourself a system of three equations which I trust you can solve.

I will say that I'm not sure that this is the most efficient solution(check out the link below which might have a better solve).

Here are some nice explanations with the "real" math notation for a slightly different but related problem:

https://math.stackexchange.com/questions/2345256/how-to-find-the-nth-term-of-quadratic-sequences

Good luck!


Related Questions

How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions

Answers

Answer:

A) No solution

Step-by-step explanation:

Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:

Both equations in the system have the same slope, m = 2, thus forming parallel lines.  Since their lines are parallel from each other, then it means that their lines will never intersect.

Therefore, the given systems of linear equation is an inconsistent system that has no solution.

look at me - on me look at me - on me yeah

Answers

iconic. absolutely stunning. legendary

-26a-19-35=-84 . show work!!

Answers

Step-by-step explanation:

-26a-19-35=-84

-26a-19+(19)-35=-84+(19)

-26a-35=-65

-26a-35+(35)=-65+(35)

-26a=-30

-26a/26=-30/26

Tania measured the growth of her plant each week. The first week, the plant's height measured 2.65 Decimeters. During the second week, Tanias plant grew 0.8 Decimeter. How tall was tanias plan at the end of the second week?

Answers

Answer:

2.65+0.8=3.45

Step-by-step explanation:

breh

Determine the rate of change between the points (-1,-1) and (1,-1).

Answers

Answer:

[tex]\displaystyle m = 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

*Note:

Rate of change is slope.

Step 1: Define

Identify.

Point (-1, -1)

Point (1, -1)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{-1 + 1}{1 + 1}[/tex][Order of Operations] Simplify:                                                                        [tex]\displaystyle m = \frac{0}{2}[/tex]Simplify:                                                                                                             [tex]\displaystyle m = 0[/tex]

EXPERTS WHERE YALL AT?
1. 7s - 3b + 8 - 4, when s=7 and b=4
2. 6r - 10/r , when r=5 and z=3
3. 3c² + d³, when c = 1 and d=2
4. 5x², when x = 3

Answers

Answer:

Substitute each of the values into the expression.

1. 7(7)-3(4)+8-4

  49-12+8-4

  41

2. 6(5)-10/5

   30-2

   28

3. 3(1)^2+2^3

   3(1)+8

   11

4. 5(3)^2

   5(9)

   45

:)

help me please !!!!

Answers

Answer:

graph X only

Step-by-step explanation:

because with the rate of change it makes a straight line

Find the distance between (4,5) and the line y=-3/2x-2

Answers

Answer:

15

17

5

Step-by-step explanation:Given equation of lines can be written as

2x−y+4=0, 2x−y−

3

5

=0

Since, these lines are parallel .

So, d=

a

2

+b

2

∣c

1

−c

2

⇒d=

5

3

17

=

15

17

5

Answer:

1517

Step-by-step explanation:

Step-by-step explanation:Given equation of lines can be written as

2x−y+4=0, 2x−y−

3

5

=0

Since, these lines are parallel .

So, d=

a

2

+b

2

∣c

1

−c

2

⇒d=

5

3

17

=

15

17

5

Can you help me on this question Plss??

Answers

linear and consistent

The equation y = Mx + B corresponds to a line that fits the data in the scatter plot below. What are the signs of M and B?A.M is positive; B is negative.B.M is negative; B is positive.C.Both M and B are positive.D.Both M and B are negative.

Answers

Answer: y = mx + c

Step-by-step explanation: Hope this helps :)

Please Help!! Asap!!

A local club team is holding tryouts for six spots on the soccer team. Since there is not much time before a very important tournament they need to select the best players. Which method would be the best to ensure they select the "most talented" soccer players?


A. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top six from the list.


B. The first day of tryouts they select the first six that show up as they figure those are the most eager for a spot.


C. They place all of the names of the people trying out in a hat and then select six out of the hat. Those are the ones that are chosen.


D. They watch the players during tryouts and then put them on a list in order from the most skilled to the least skilled and then select the top three and the bottom three from the list.

Answers

Answer:

A because it's most likely to be like that at tryouts

Now that you’ve calculated all the missing values, complete the table.

Answers

Missing Blank for:

Raul and his friends: (3/4) / (1/20) = 15

Items: 15

Cars: (7/8) / 2 = 7/16

Weight per item: 7/16

Baby elephants: (3/4) / (3/8) = 2

Items: 2

Goats: (1/2) / 4 = 1/8

Weight per item: 1/8

Desks: (3/8) / (1/32) = 12

Items: 12

Hey , can someone please help me with this problem.

Answers

Answer:

Ok so for intrest you use the formula

I=prt

so we just multiply everthing together

800*0.03*6=144

She'll make 144 dollars

Hope This Helps!!!

Find the slope of each line please help

Answers

Answer: The slope should be 2/3

Step-by-step explanation: Slope is rise over run. Remember you always rise before you run. So in this case you start at the origin and go up until you get to the point on the line where the line is centered. You go up 3 times and thats where the first actual point is. Then move to the side until you get to the line which is 2 to the right. so therefore your answer is 3/2

helpppppppppppppppppppppppppppp

Answers

Answer:a is 14, b is 70%, c is 250

Step-by-step explanation:

Gladys classifies the following system of equations.
y = 6x + 2
y = 6x + 1
Select Correct or Not correct for each statement.
Statement
Correct
Not correct
o
O
The system is inconsistent because the slopes are the same and the lines are different.
The system is dependent because the y-intercepts are different.
O
O

Answers

The system is inconsistent because the slopes are the same and the lines are different.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the following system of equations:

y = 6x + 2     (1)

y = 6x + 1      (2)

We can see that both equations have the same slope of 6 but have different y intercepts.

Hence the system is inconsistent because the slopes are the same and the lines are different.

Find out more at: https://brainly.com/question/13911928

HERE YOU GO (THESE ARE THE RESULTS I GOT FROM THE GUY ABOVE ME):

Bruce spent $30 on lunch. If he had $55 in his wallet, what percent of this money did he spend on lunch?

(PERSON WHO EXPLAINS THE BEST AND ANSWERS CORRECTLY GETS MARKED BRAINLIEST)

Answers

Bruce used about 54.5% of his money (or 55% rounded up) on his lunch. In order to get the 54.5% you would need to divide the amount he spent by the amount he had.

30/55= 54.5

solve the variables ​

Answers

X down Y up z stay
Hope i help

whats the answer for this??

Answers

Answer:

b=4

Step-by-step explanation:

b=4 because 10 x 4 is 40.

b=4 that’s the answer

A two digit number is four times the sum and three times the product of its digit. Find the number.​

Answers

10 × 2 + 4 = 24. Hence, the required number is 24

14.L
Marcy walked 37 miles on Saturday. On
Sunday, she walked 0.25 more miles than
she did on Saturday. How many total miles
did she walk over the weekend?

Give your final answer as a fraction in simplest form

Answers

Answer:

Step-by-step explanation:

74/74

Answer:

7 13/20

Step-by-step explanation:

ur welcome :)

what is 5*2+4*6+10+123+(8)-1

Answers

Answer:

174

Step-by-step explanation:

(10)+(24)+10+123+7

=174

Answer:

174

Step-by-step explanation:

5⋅2+4⋅6+10+123+(8)−1

Multiply 5 and 2 to get 10. Multiply 4 and 6 = 24.

10+24+10+123+8−1

Add 10 and 24 =34.

34+10+123+8−1

Add 34 and 10 =44.

44+123+8−1

Add 44 and 123 =167.

167+8−1

Add 167 and 8 =175.

175−1

Subtract 1 from 175 = 174.

174

Jim wants to collect at least 25 coins for his coin collection. He has already collected 5 coins. The inequality shown can be used to fin n, the number of coins Jim still needs to collect.

n + 5 _> 25
Which inequality represents the solution set for this situation?

A. n _> 20
B. n _< 20
C. n _< 30
D. n _> 30

Answers

Answer:

Step-by-step explanation:

n _> 25 - 5

n _> 20

Answer:

n ≥ 20

Step-by-step explanation:

n + 5 ≥ 25

n + 5 − 5 ≥ 25 − 5

n ≥ 20


Nikko runs 6 miles a day and 3 days a week. How many weeks will it take Nikko to run 198 miles?

Answers

Answer:

11 weeks

Step-by-step explanation:

6*3 = 18

He runs 18 miles per week

To find out many weeks it will take Nikko to run 198 miles we do

198/18 = 11 weeks

Answer:

11 weeks

Step-by-step explanation:

6 x 3 = 18  

198 divided by 18 is eleven

have a great day!

Evaluate 2(8 + t)3 – 6 when s = 3 and t = 2.

+) The value of the expression is 250

Answers

Step-by-step explanation:

s = 3 and t = 2

= 2(8 + t)³ - 6

= 2(8 + 2)³ - 6

= 2(10)³ - 6

= 2(1.000) - 6

= 2.000 - 6

= 1.994

Steve is an under armor sweatshirt with a normal price of $40 but he uses a 10% off coupon how much does he say if I using this coupon?

Answers

Answer: £36

Step-by-step explanation: 10% is a tenth of the whole price (1/10). We would divide 40 by 10 to get 4 (1/10 of 40)- remember you divide by the bottom of the fraction and times by the top. To get the new price, we subtract 4 from 40 to get £36

please help me i will mark as brainliest​

Answers

I’m not sure if they’re all right but i got:
4a 14
b 17
c 16
d 15
5a 12
b -4
6 5
7. 7
8. 5
9. -3

Hope this helps ;)

Please help me I will give best answer brainliest

Answers

Answer:

i would help but i can't understand that im sry

Step-by-step explanation:

3. /9.49 thanks

Answer:

4. search it you can find it

Please help. ASAP. Work out, giving your answer in its simplest form:


3 1/2 divided by 2 3/5

Answers

Answer:

26/35

Step-by-step explanation:

1. First to divide the 3 1/2 by 2 3/5 you have to turn them both into improper fractions

First take 3 1/2. You have to multiply the whole number (3) by the denominator (2) and you would get 6. Then you would add then you add the product (6) to the numerator (1) and get 7.

You keep the denominator the same so the improper fraction is 7/2

Do the same thing to 2 3/5 and the improper fraction is 13/5

2. Now we can divide 13/5 by 7/2 using "keep, change, flip"

Keep: 13/5

Change: division to multiplcation

Flip: 7/2 to make 2/7

Your new equation is 13/5 × 2/7. Multiplcation is easy so you just have to multiply staight across: 13 × 2 and 5 × 7 giving you 26/35

If you divide 35 by 26 you will get 1.34 and a bunch of other numbers but I usually stop at two decimal places

hope this helps :)

d=8-u
make
U the subject

Answers

Answer:

U=-d+8

Step-by-step explanation:

To get u by itself, you subtract 8 from both sides and multiply by -1 to get positive u.

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