What is the Nth term rule of the Quadratic sequence -5 -4 -1 4 11 20 31

Answers

Answer 1

Step-by-step explanation:

an = A×n² + B×n + C

a1 = -5 = A×1² + B×1 + C = A + B + C

a2 = -4 = A×2² + B×2 + C = 4A + 2B + C

a3 = -1 = A×3² + B×3 + C = 9A + 3B + C

a2 - a1 = -4 - -5 = 1 = 4A+2B+C-A-B-C = 3A + B

3A = 1 - B

A = (1 - B)/3

a3 - a2 = -1 - -4 = 3 = 9A+3B+C-4A-2B-C = 5A + B

3 = 5A + B = 5(1 - B)/3 + B

9 = 5(1 - B) + 3B = 5 - 5B + 3B = 5 - 2B

4 = -2B

B = -4/2 = -2

A = (1 - -2)/3 = (1 + 2)/3 = 3 / 3 = 1

-5 = A+B+C = 1 - 2 + C = -1 + C

-4 = C

so,

an = n² - 2n - 4


Related Questions

The expression 63+81,
How can you can use the distributive property in the GCF to find a equivalent expression? Explain how can you check your answer

Answers

Answer: 9 (7 + 9)

Step-by-step explanation:

63 = 9 * 7 and 81 = 9 * 9

Kiran wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.25 per pound and raspberries cost $2.50 per pound. How many pounds of fruit does he buy if he buys 2 pounds of blueberries and 1.5 pounds of raspberries? How many pounds of fruit does he buy if he buys x pounds of blueberries and y pounds of raspberries?

Answers

Answer:

$10.25 pounds of fruit

Step-by-step explanation:

3.25 x 2 = 6.5

2.50 x 1.5 = 3.75

3.75 + 6.5 = 10.25

If the silver accounts for 84% of the bar's weight, what is the weight of the silver?

Answers

weight=8.15 ounces
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
silver=7.580 ounces (rounded to nearest thousandth)

Answer:

Step-by-step explanation:

The answer is

what is the value of x in the solution to the system
x+y=10
x-y=4

Answers

Answer:

x = 7; y = 3

Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

=> 7 - 3 = 4

=> 4 = 4. ✔

Therefore, x = 7 and y = 3

Hoped this helped.

Could I get help…………

Answers

Answer:

B

Step-by-step explanation:

HOPE IT HELPS <3

MARK as brainliest

I’ll make you to Brainlius if you answer the question no links I’ll take a folder but no links or power point As long as you know the question and you didn’t the quiz at least send either PowerPoint or a folder please I need help immediately ASAP

Answers

Answer:

1) Is 9 2)x-3   3) 12 ,106,42 4)1/12 5) one ,three half ,three 6)32 7) 1,4,5 8) 1 z-9 2 9+z 3 9/3 4 9z 9) 3/n 10 10) 1 2

Step-by-step explanation: Cuz I'm In The Test Now And Jest Got Done With It And All The Answers are Right here  

2^3+4•2-7=
2^4=8
4•2=8
8+8=16-7
16-7=9

If X is a factor of Y and Y is a factor of Z then X is a factor of Z. If so then how



PLS HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

then z is a factor of x??? huh??

Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm

Answers

Answer:b

:D

Step-by-step explanation:d

504

2
Technology required. A plane leaves the ground with an elevation angle of 6 degrees.
The plane travels 10 miles horizontally.
a. How high is the plane at the time?
b. What is the distance of the plane's path?
Round answers to the nearest tenths.
How high is the plane at this time?
miles
What is the distance of the plane's path?
miles

Answers

The height of the plane at that time is 1.1 miles

The distance of the plane's path is 10.1 miles

The situation forms a right angle triangle.

Using trigonometric ratio,

tan 6° = opposite / adjacent

The height of the plane is the opposite side of the triangle. The adjacent

side is the distance travelled horizontally. Therefore,

tan 6° = h / 10

cross multiply

h = 10 tan 6°

h = 10 × 0.10510423526

h = 1.05104235266

height of the plane at that time = 1.1 miles

The distance of the plane path is the hypotenuse of the triangle formed.

Therefore,

c² = a² + b²

c² = 10² + 1.1²

c = √101.21

c = 10.0603180864

c = 10.1  miles

plane's path = 10.1 miles

learn more: https://brainly.com/question/10877044?referrer=searchResults

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 7

Answers

Answer: Probability is 4/12, or 1/3

Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

21x/8−3y=−6

Answers

How you know if a system is consistent or inconsistent or dependent without graphing:

If a consistent system has a infinite number of solutions, it is dependent. When you graph the equation, both equations represent the same line. If a system has no solution, it is said to be inconsistent. If the graphs of the lines do not intersect, the graphs are parallel and there is no solution.

Hope this helps.

-2 5/12 - (-10 8/9)

Answers

-13.30

that might be the answer

8.47222222222

:D Hope this helps! I apologize if I’m wrong.

Given f(x) and g(x) are inverse functions. If f(-2)=1 then g(1)=-2

True

False

Answers

True.

The y-axis of the f(x) must equal to the x-axis of g(x)

The x-axis of the f(x) must equal to the y-axis of g(x)

how to solve subtraction of percentage from whole numbers​

Answers

To subtract any percentage from a number, simply multiply that number by the percentage you want to remain. In other words, multiply by 100 percent minus the percentage you want to subtract, in decimal form. To subtract 20 percent, multiply by 80 percent (0.8)

What’s 100/100 in simplest form

Answers

1

Explanation
It’s just 1

Answer:

1 or 1/1.

Step-by-step explanation:

100/100 simplest form is 1.

We know this because 100/100 is 1.  You could just do 1/1.

100/100 to 10/10 to 1/1 which is 1.

PICK 5 RELEVANT VOCABULARY TERMS AND SUMMARIZE THEM .


yooo, i need help with this...

Answers

percussion
Percussion is music involving drums and other instruments such as gongs, bells, cymbals, rattles, and tambourines. The instruments themselves are also called percussion.

dual / duel
Seeing double? Not quite! Dual is two, or double, but a duel is a fight. If you’re getting sick of your fair-weather friend’s dual personality, perhaps you should throw down your glove and challenge him to a duel at high noon.

grisly / gristly / grizzly
Blood, guts, and man-eaters, oh my! Faint of heart turn back now! Grisly means relating to horror or disgust, gristly means related to gristle or cartilage, and grizzly is a big ol' bear. That can eat you.

precedent / president
How has the United States affected this word pair, precedent and president? Let's find out.

unconscionable / unconscious
These two words look and sound similar. In fact, if you think too hard about them together, you might find your tongue tripping over them.

What property is -5(-9x^2+8)+20=10x^2-15

Answers

Answer:

distributive?

Step-by-step explanation:

-5(-9x^2+8)+20=10x^2-15

simplify both sides

45x^2-20=10x^2-15

35x^2=5

x^2=1/7

x=1/sqrt(7)

distributive?

Paul was thinking of a number. Paul adds 1.2 to the number the doubles the result to get an answer of 68.3. Form an equation with x from the information​

Answers

Answer:

(x+1.2)2=68.3

Step-by-step explanation:

(x+1.2)2=68.3

A shoe box in the shape of a rectangular prism has these dimensions 14in,8 1/2in,4 3/4inwhat is the volume

Answers

Answer:

565.25 inches cubed

Step-by-step explanation:

14*(8 + 1/2)*(4 + 3/4)=565.25 inches cubed

It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate, how many pounds of mashed potatoes can be made with 15 pounds of potatoes?

Answers

Answer:

22.5 pounds of mashed potatoes will be made

- C C) C.P = Rs 20, profit Rs 2, S
.P. -​

Answers

Answer:

[tex]cp = p + sp \\ \\ cp = 2 + 20 \\ \\ cp = 22[/tex]

what is the answer to 6- (2)(3) and how would i solve it?

Answers

Answer: 0

Step-by-step explanation:  6-(2)(3)                                                                       6-6                                                                                                                             0

the value of x in the solution to the system x+y=10 and x-y=4

Answers

Answer:

x = 7; y = 3

Step-by-step explanation:

I used the Trial and Error Method and found that x = 7 and y = 3

=> 7 + 3 = 10

=> 10 = 10. ✔

=> 7 - 3 = 4

=> 4 = 4. ✔

Therefore, x = 7 and y = 3

Hoped this helped.

Please answer!! Only if your answer is correct though.

Answers

Answer:

f(6) = -8  

g(-3) = 59

Step-by-step explanation:

Read other responses on other answered questions. Comment below if you'd like a detailed explanation.

In which of these situations would the answer to the
question be 0?
A) The low temperature one day was -10°F. The high
temperature that day was 10 F. What is the difference
between the low temperature and the high temperature
that day?
B) A trail to walk up a hill begins at an elevation -16 yards.
The trail ends at an elevation of 16 yards. By how many
yards does the elevation of the trail change from
beginning to end?
C) Justine left her grandmother's house and walked 3
blocks directly south. Then she walked 3 blocks directly
north. At this point, how many blocks was Justine from
her grandmother's house?
D) Theodore jumped into a pool from a diving board 10
feet above the water. He sank 10 feet and then swam
straight up to the surface of the water. How many feet
did Theodore swim?

Answers

Answer: C is the correct answer

Step-by-step explanation:

Determine the period of the following graph.

Answers

0
Because it’s true, and I’m smart
the answer is 0 i believe

3/15 as an improper fraction

Answers

Answer:

3/15 cannot be simplified as an improper fraction because ethe denominator is greater than the numerator. However, we can simplify 3/15 as a fraction

=> 3/15 = 1/5

Step-by-step explanation:

Hoped this helped.

Answer:3/15 as an improper fraction is 1/5

Step-by-step explanation:1 over 5

Rationalize the denominator.

9-10/2
V2+1

Answers

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]

Answer:

Step-by-step explanation:

-6x - 3= 27
Help pless ​

Answers

Answer:

x=-5

Step-by-step explanation:

-6x-3=27

add 3 to both sides

-6x=30

divide both by -6

x=-5

I hope this helped :)

Answer:

[tex] \sf \: x = - 5[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of x.

The equation is,

→ -6x - 3 = 27

Then the value of x will be,

→ -6x - 3 = 27

→ -6x = 27 + 3

→ -6x = 30

→ x = 30 ÷ (-6)

→ [ x = -5 ]

Hence, the value of x is -5.

What is the equation of this line?

Answers

Answer:

y = 1/2x - 3

Step-by-step explanation:

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