What is 5/6 of 1/2 on a number line

The nth terms of sequence 1 ; 5 ; 11 ; 19  is n² + n + -1   and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3  .

The differences (referred to as first differences) between every two successive terms are the same, then it is called an arithmetic sequence (which is also known as a linear sequence). But if the first differences are NOT same, and instead, the second differences are the same, then the sequence is known as a quadratic sequence.

According to the question

The sequence      1   ,   5   , 11  ,   19

First difference :       4      6       8

Second difference:        2     2  

1.1.1>

Now, expression for the nth term of the sequence.

Quadratic equation

ax² + bx + c

at n= 1

a + b + c = 1 -----------------(1)

At n = 2

4a + 2b + c = 5 ------------------(2)

At n = 3

9a + 3b + c = 11 -------------------(3)

solving equation

Subtracting equation (3) from (2)

9a + 3b + c = 11

-4a - 2b - c = -5

5a + b = 6 ----------------------(4)

Subtracting equation (2) from (1)

4a + 2b + c = 5

-a  - b - c = -1  

3a + b = 4 ---------------------------- (5)

Subtracting  equation (5) from  (4)

5a + b = 6

-3a - b = -4

2a = 2

a = 1

Putting value in equation (5)

3a + b = 4

3*1 + b = 4

b = 1

Substituting the value in equation (1)

a + b + c = 1

1 + 1 + c = 1

c = -1

Substituting the value in the quadratic equation

x² + x + -1

For nth term

n² + n + -1  

1.1.2>

Term of the sequence is 2549

Now,

using the nth term

n² + n + -1  = 2549

n (n+1) = 2550

n (n+1) = 50 * 51

n = 50

1.2>  sequence of numbers is given:   -2   ,-3   ,-6   ,-11

                First difference =                       -1     -3    -5

               Second difference =                       -2    -2    

1.2.1 >

Now , expression for the nth term of the sequence.

Quadratic equation

ax² + bx + c

at n= 1  

a + b + c = -2 -----------------(1)

At n = 2

4a + 2b + c = -3 ------------------(2)

At n = 3

9a + 3b + c = -6 -------------------(3)

solving equations  

Subtracting equation (3) and (2)

9a + 3b + c = -6

-4a - 2b - c = 3

5a +b = -3 ----------------(4)

Subtracting equation (2) and (1)

4a + 2b + c = -3

-a - b - c = 2

3a + b = -1 -------------------(5)

Now,

Subtracting equation (5) and (4)

5a +b = -3

-3a - b = 1

2a = -2

a = -1

Putting value of a in equation (5)

3*-1 + b = -1

b = 2

Substituting values in equation (1)

-1 + 2 + c = -2

c = -3

nth term

-n² + 2n -3  

1.2.2>the sequence of numbers will never contain a positive term.  

because its first term is -ve and difference between consecutive term is always -ve. or as per nth term n² is a -ve term .

Hence, the nth terms of sequence 1 ; 5 ; 11 ; 19  is n² + n + -1   and the nth terms of sequence -2;-3; -6;-11; is -n² + 2n -3  .

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Answer:

The hight written in digital is 14286

Answer:

QUESTION:

which one is it?

ANSWER:

Okay, so everyone knows that a straight angle/ full triangle equals up to the sum of 180°, right?

So you take the 180° and subtract the 51°. And you should be getting 129°.

But, since this is a right triangle all I did was subtract 51° from 90° (a right triangle). In the end, the final answer is 39°

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

Step-by-step explanation:

Let a=x+2 and b=x+6

The area of a rectangle is given by

A=a*b

So

[tex](x + 2) \times (x + 6) = {x}^{2} + 8x + 12[/tex]

Answer:

A = x² + 8x + 12

Step-by-step explanation:

Area of a rectangle:

A = bh

A = (x + 6)(x + 2)

A = x² + 2x + 6x + 12

A = x² + 8x + 12

Answer:

C

Step-by-step explanation:

Answer:

Can you do it in english? I can't read in spanish sorry.

Answer:

36

Step-by-step explanation:

image has step by step

Answer:

36

Step-by-step explanation:

1/2(8)(7+2)=x

1/2(8)(9)=x

4(9)=X

36=X

Answer:

45 out of 50

Step-by-step explanation:

First, 90/100 x 50 which = 45.

You could also do 5 x 9 which equals 45.

Hope this helps!!

Answer:3,-3

Step-by-step explanation:

begin by simplifing the expression. So, the 2 x's will cancel out in the expression. you should have 7=2x^2-11. Then Subtract the 7 from both sides so you cna use the quadratic formula. This gives you 2x^2-18=0. Using the formula {-b+/sqrt(b^2-4ac)}/2a this gives us {-0+/sqrt(0^2-4*2*-18)}/2*2 this simplifies to 0+/- 12 all over 4. +12/4=3 and -12/4=-3.

Answer:

x = 45

Step-by-step explanation:

180 - 106 = 74

74 + 61 = 135

180 - 135 = 45

45 = x

Answer:

i dont know because you have not really explained it

Step-by-step explanation:

The quotient of the division of 145413 by 321 is 453.

Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.

We are using long division method here.

For that dividend is 145413 and divisor is 321.

First take the first some digits of dividend which is greater than 321.

That is the first four digits, 1454.

The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321

So the first digit of quotient is 4.

1454 - 1284 = 170

Now 170 is less than 321.

Add the next digit of the dividend to 170.

It becomes 1701.

Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.

The next digit of the quotient is 5.

1701 - 1605 = 96

Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.

Now 963 is a multiple of 321, where 963 = 3 × 321

So the next digit of the  quotient is 3.

Quotient = 453

Hence the quotient of the given division is 453.

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Answer:

what is this ?!?!?!?!

Step-by-step explanation:

btw can u be more specific so i can properly help u

Answer:

<6&<8

Step-by-step explanation:

Hope this helps!

Answers have to be 20 characters long so I added this to give you the answer!

Have a great day!

Answer:

48

Step-by-step explanation:

6x8=48

6 baked a cake for the 8

                          --------48-------

Answer:

B

Step-by-step explanation:

find slope which is -2 then plug into equation y=mx+b to find constant of 3

Answer:

3y+8=3y+8

Step-by-step explanation:

10+3y-2=4y-y+8

10+3y-2 combine 10 and -2 and you get 3y+8

4y-y+8 combine the 4y with the -y and you get 3y+8

3y+8=3y+8

Answer:

[tex]y = 4x+17[/tex]  

Step-by-step explanation:

1) First, write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex]  and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].

[tex]m[/tex] represents the x and y values of one point the line intersects, so  substitute 4 in its place. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, so substitute -3 for [tex]x_1[/tex] and 5 for [tex]y_1[/tex]. This gives the following equation in point-slope form:

[tex]y-5 = 4(x+3)[/tex]

2) Now, put it in [tex]y =mx + b[/tex] format, or slope-intercept form by isolating the y:

[tex]y-5 = 4(x+3)\\y-5 = 4x + 12\\y = 4x+17[/tex]

The equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The line's equation in point-slope form is;

 y = mx+c

We may then transform it to a slope-intercept form. Substitute values in the point-slope formula as;

y-y₁=m(x-x₁)

y-5=4(x-(-3)

y-5=4(x+3)

y--5=4x+12

y-4x+17

Hence,the equation of a line with a slope of 4 that passes through the point (-3,5) in slope intercept form is,y=4x+17.

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Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

Answer:

5m + 8

Step-by-step explanation:

Dividing by 3 is the same as multiplying by 1/3.

1/3 (15m + 24)

Distribute the 1/3

1/3 * 15m = 5m

1/3 * 24 = 8

5m + 8

Answer:

0.75

Step-by-step explanation:

there is 1000 grams in 1 kilogram so I divided 750 by 1000 to get 0.75.

Answer:

D. 116

Step-by-step explanation:

Let the grasshoppers with a white marking be 2x.

Let the grasshoppers without a white marking be 3x.

2x + 3x = 290

5x = 290

x = 290 / 5

x = 58

The grasshoppers with a white marking

= 2x

= 2 ( 58 )

= 116

Answer:

7.)[tex]\frac{1}{2}[/tex]

8.) [tex]\frac{1}{8}[/tex]

9.)[tex]\frac{1}{3}[/tex]

10.)[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}[/tex]=[tex]\frac{1}{12}[/tex]

I should know, I finished this like, a month ago?

Answer:

14

Step-by-step explanation:

im so sorry that the other people's comments are making you feel uncomfortable :(

there are 14 marbles in total since:

5 marbles+3 marbles+6 marbles = 14 marbles

each marble has one chance of being pulled out, therefore, there are 14 different outcomes.

Answer:

Radius: R = 12 in

Diameter: D = 24 in

Circumference: C = 75.4in

Area: A = 452.39 in²

Step-by-step explanation:

Solutions:

Diameter d= 2r

D = 2 × 12

D = 24

Circumference

C = 2πr

C = 2 × π × 12

C = 24π

C = 75.3982237

Area:

A = πr²

A = π × 12²

A = 144π

A = 452.389342