a Quadratic pattern has a second term equal to 1,a third term equal to-6 and a fifth term equal to -14​

Answers

Answer 1
Quadratic sequences

A sequence is a set of numbers that are connected in some way. In this section we will look at quadratic sequences where the difference between the terms changes.

Quadratic sequences

If the difference between the terms changes, this is called a quadratic sequence.

If you use the formula n2 + n to make a sequence, it means that:

When n = 1 you get 12 + 1 = 2
When n = 2 you get 22 + 2 = 6
When n = 3 you get 32 + 3 = 12
When n = 4 you get 42 + 4 = 20
- giving the sequence 2, 6, 12, 20.

Here, the differences between terms are not constant, but there is still a pattern.

- the first differences increase by 2 each time
- the second increases by 2

When the second difference is constant, you have a quadratic sequence - ie, there is an n2 term.

Learn these rules:
If the second difference is 2, you start with n2.
If the second difference is 4, you start with 2n2.
If the second difference is 6, you start with 3n2.
Another definition for Quadratic sequence

A quadratic sequence is a sequence of numbers in which the second difference between each consecutive term is constant. This called a common second difference.

Related Questions

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals?

Answers

Answer:

16

every time you go up 10% there will be 2 added

2*8=16

Step-by-step explanation:

If 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

10% of a number is 2 less than 20% of the same number,

10% .x=20%x-2

Convert % to the decimal by diving with 100.

10/100x=20/100x-2

0.1x=0.2x-2

Subtract 0.1x on both sides

0=0.2x-0.1x-2

Add 2 on both sides

2=0.2x-0.1x

2=0.1x

Divide both sides by 0.1

20=x

Now we need to find 80% of 20.

80% of 20

80/100×20

0.8×20

16

Hence, 10% of a number is 2 less than 20% of the same number, then 80% of the number equals 16.

To learn more on Percentage click:

https://brainly.com/question/28269290

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1. (a+2)²
2. (a-5)²
3. 3(a+b)
4. (a+2)(a-2)
5. (ab)⁴
6.- 3a(2a + 2b)
7. (2a-3)(a +2)
8. (8a+10b)(8a-10b)
9. (2a-3)³
10.-9a(3a+4b)​

Answers

Answer:

a² + 4a + 4

Step-by-step explanation:

(a + 2) ² = (a + 2) ( a + 2)

= a ( a + 2) + 2 ( a + 2)

= a² + 2a + 2a + 4

= a² + 4a + 4

huh? sorry idont know the answer

A bag contains 5 yellow, 6 red, and 4 green marbles. Two marbles are drawn. The first is replaced before the second is drawn. A random variable assigns the number of green marbles to each outcome. Calculate the expected value of the random variable.
a.0.76 c.0.27 b. 1.07 d. 0.53​

Answers

Answer:

53

Step-by-step explanation:

lol please help me !

Answers

Answer:  (a + 2)(a - 2)  which is the first answer choice

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

Explanation:

Use the difference of squares factoring rule which is x^2 - y^2 = (x+y)(x-y)

In this case, x = a and y = 2

x^2 - y^2 = (x+y)(x-y)

a^2 - 2^2 = (a+2)(a-2)

a^2 - 4 = (a+2)(a-2)

Marla mixed cream and milk in a ratio of
2 parts cream to 3 parts milk. How many
liters of each did she use if she made 20 liters

Answers

Answer:

If it says she made 20 liters of cream then She has 30 liters of milk

Step-by-step explanation:

2 cream x 10 = 20

3 milk x 10 = 30

Hope this helps!

Plz make me Brainliest.

Find the area of the figure shown below.
10 cm
5 cm
17 cm

Answers

Answer:

where is the figure?

Step-by-step explanation:

I can't see a figure

Answer:

10 cm thats answer? sorry im wrong

You have 5 cups of fruit punch concentrate. The recipe calls for 3/4 cup of concentrate for one bowl of punch. how many bowls can you make?​

Answers

You can make 6 bowls of punch.

If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down

Answers

it should be 2 units left and 4 units up

Simplify completely'''​

Answers

Answer:

[tex]\displaystyle \frac{x + 2}{x - 1}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7x^2 + 11x - 6}{7x^2 - 10x + 3}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{(x + 2)(7x - 3)}{7x^2 - 10x + 3}[/tex][Fraction] Factor denominator:                                                                      [tex]\displaystyle \frac{(x + 2)(7x - 3)}{(x - 1)(7x - 3)}[/tex][Fraction] Divide:                                                                                              [tex]\displaystyle \frac{x + 2}{x - 1}[/tex]

Instructions: Find the equation of the line through point (2, -1) and
parallel to 2x + 5y = 15. Use a forward slash (i.e. "/") for fractions (e.g. 1/2
for 3).

Answers

Answer:

[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]

Step-by-step explanation:

Given

Passes through: [tex](2,-1)[/tex]

Parallel to: [tex]2x + 5y = 15[/tex]

Required

First, calculate the slope of the parallel line

[tex]2x + 5y = 15[/tex]

Make y the subject

[tex]5y = 15 - 2x[/tex]

Divide through by 5

[tex]y = 3 - \frac{2}{5}x[/tex]

[tex]y =- \frac{2}{5}x+3[/tex]

An equation in slope intercept has the form:

[tex]y = mx + b[/tex]

Where:

m = slope

[tex]y = mx + b[/tex]

So:

[tex]m = -\frac{2}{5}[/tex]

The required is parallel to [tex]2x + 5y = 15[/tex].

This mean, the same slope

The equation is the calculated using:

[tex]y - y_1 = m(x - x_2)[/tex]

This gives:

[tex]y - (-1) = -\frac{2}{5}(x - 2)[/tex]

[tex]y +1 = -\frac{2}{5}x +\frac{2}{5}*2[/tex]

[tex]y +1 = -\frac{2}{5}x +\frac{4}{5}[/tex]

[tex]y = -\frac{2}{5}x +\frac{4}{5}-1[/tex]

Take LCM

[tex]y = -\frac{2}{5}x +\frac{4-5}{5}[/tex]

[tex]y = -\frac{2}{5}x -\frac{1}{5}[/tex]

i.e.

[tex]y = -2/3x -1/5[/tex]

help me out please :(?

Answers

Answer:

3x2+15x=18

Step 1: Subtract 18 from both sides.

3x2+15x−18=18−18

3x2+15x−18=0

Step 2: Factor left side of equation.

3(x−1)(x+6)=0

Step 3: Set factors equal to 0.

x−1=0 or x+6=0

x=1 or x=−6

Answer:

A

I worked them out myself so if their wrong uh please don't get mad I tried my best.

Step-by-step explanation:

3x (2) + 15x = 18                               3x (2) + 15x = 18

6x + 15x = 18                                     6x + 15x = 18  

-6x + -6x = 18                                            -18     -18

--------------------------                             ------------------------

0 + 9x = 18                                            6x + -3 = 0

   ------  -------                                         -3 +  -3

      18  18                                           --------------------

          x = 2                                              -3 + 0

                                                                    X = -3

1 ÷ 8, or 1/8, is 0.125

Answers

Answer:

both

Step-by-step explanation:

Answer:

true! :)

Step-by-step explanation:

The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.

Answers

Answer:

Step-by-step explanation:

41

Carmen buys 4 daisies and some roses to make a flower arrangement. The number of daisies is 1/3 of the number of roses that she buys. How many roses does she buy?

Answers

Answer:

12

Step-by-step explanation:

[tex]4 / 1/3=4*3/1=4*3=12[/tex]

NEED HELPPPP! This is hard for me to do!

Answers

Answer:

a) This expression is simply the average of both of their hours for a full year.

b) Honestly, I'm not sure, but mathematically, its  [tex]\frac{Beth's -hours}{Arjun's-hours}[/tex], so the hours cancel out and you get the ratio of their yearly hours? Idek

c) a/12 would be the number of hours Arjun worked per month since there are 12 months in a year.

d) This one is a difference between Arjun's hourly wage to Beth's hourly wage. So, it represents how much more Arjun would have made (Arjun's hourly wage) in comparison to Beth, or vice versa (depending on who worked more hours).

c) Similar to a), this is an average of their yearly income.

At a grocery store a 12 pack of 10.75 ounce cans of soup is sold for 15.65 there are 128 oz in a gallon determine the price per gallon round to the nearest cent

Answers

MY THROAT CRAZYYYYYY

Suppose you have a tablet with a capacity of gigabytes. For a plain text​ book, one byte typically corresponds to one character and an average page consists of 2000 characters. Assume all gigabytes are used for plain text books.
a. How many pages of text can the tablet​ hold?
b. How many 500 page books can the tablet hold?

Answers

Answer:

tablet can hold 500000 pages of text .

tablet can hold 1000 books of 500 pages

A city has a 5% sales tax.


Is there a proportional relationship between the cost of items before tax and the cost of items after tax?

Yes or No

Answers

Answer:

Yes,

There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.

Step-by-step explanation:

Given - A city has a 5% sales tax.

To find - Is there a proportional relationship between the cost of items

              before tax and the cost of items after tax?  

Proof -

Yes, cost of items before tax is directly proportional to cost of items after tax.

Reason -

With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.

Polly has a full 5 kg sack of rice. She pours the rice from this sack into bags. She fills as many bags as possible. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?

Answers

Answer:

Polly used 15 bags to fill this sack of rice.

Step-by-step explanation:

Each kilogram has 1000 grams.

Polly has a full 5 kg sack of rice. Each full bag contains 350 g of rice. How many bags did Polly fill from this sack of rice?

We solve this by rule of three, using proportions.

Each bag has 350g of rice. In all, x bags will have 5kg = 5*1000 = 5000g of rice. So

1 bag - 350g

x bags - 5000g

Applying cross multiplication

[tex]350x = 5000[/tex]

[tex]x = \frac{5000}{350}[/tex]

[tex]x = 14.3[/tex]

Since a decimal part of a bag is not possible, Polly used 15 bags to fill this sack of rice. 14 complete, and the last bag the remaining part.

I need help fast and i really don’t understand this at all

Answers

For the tan of angle X use opposite/adjacent. So, 36/27 =4/3.
4/3 is the correct answer

Find the value of x, given the figures
are similar.
10
30
36
A) 4
C) 90
B) 108
D) 12

Answers

Answer:

it's 12 cuz 36 divided by 3 is 12

According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is a woman given that the developer is a student is 7.4%,and the probability that a developer is a woman given that the developer is not a student is76.4%. If we encounter a woman developer, what is the probability that she is a student

Answers

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

[tex]P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598[/tex]

Student and woman developer.

7.4% of 25.8%(students), so

[tex]P(A \cap B) = 0.074*0.258 = 0.019092[/tex]

If we encounter a woman developer, what is the probability that she is a student

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326[/tex]

0.0326 = 3.26% probability that she is a student.

Find the greatest common factor of the
following monomials:
25x5 20x6

Answers

Answer:

1

Step-by-step explanation:

Glenis had $5.25 and Samuel had $8.95. How much money did they have
altogether? Find an exact answerand .

Answers

5.25 + 8.95 = 14.2 $
The answer $14.20 because You need to just add $5.25 to $8.95 and you get $14.20

Ethan tired to write an equation of the linear table but made a mistake. Need help it’s due today!?!?

Answers

Given:

The table for a linear function.

To find:

The equation of the linear function.

Solution:

If a linear function passes through two points, then the equation of linear function is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Consider any two points from the given table. Let the two points are (2,-2) and (4,0). So, the equation of linear function is

[tex]y-(-2)=\dfrac{0-(-2)}{4-2}(x-2)[/tex]

[tex]y+2=\dfrac{2}{2}(x-2)[/tex]

[tex]y+2=x-2[/tex]

Subtracting 2 from both sides.

[tex]y+2-2=x-2-2[/tex]

[tex]y=x-4[/tex]

So, Ethan 's made a mistake. The sign between x and 4 must be negative but in Ethan's equation it is a positive sign, which is not correct.

Therefore, the required linear equation is [tex]y=x-4[/tex].

Find the product of the least common multiple (LCM) of $8$ and $6$ and the greatest common divisor (GCD) of $8$ and $6$. Please help meh. I

Answers

The lcm is 1 and the gcd is 2

Multiplicative inverse of 345

Answers

the answer is 0.00289855

Answer:

-0.00289855.

i will give a brainliest if your answer are correct

Answers

Answer:

huhh what this is question is too hard

5×(4+3×2)=5×(4+6)=5×10=50

then its answer C

IF A CUBE HAS VOLUME OF 1,331 MM, WHAT IS THE AREA OF THE BASE OF IT IN SQUARE MILLIMETERS

Answers

1331= lwh or 1331= x^3

So take cube root of both sides and you will get 11.

Since the formula for area is length times width, the answer is 11x11 which equals 121.

So the square area of the base is 121mm^2



10 km=---------miles​

Answers

Answer:

10000

Step-by-step explanation:

because 1 km =1000 m

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