Write down in terms of n, an expression for the nth term
of the following sequences:
a) 4 1 -2 -5 -8
b) -7 -12 -17 -22 -27

Answers

Answer 1
A) Tn= a+(n-1)d = 4 + (n-1)(-3) = 4 -3n + 3 = 7-3n

B) Tn = a+(n-1)d = -7 + (n-1)(-5) = -7 -5n + 5 = -2 -5n

[a is the first term, d is the common difference]

Related Questions

Tìm tất cả các giá trị của y sao cho. x2 + y2 +2z2 +2xy - 2xz - 4yz + 3y >= 0 với mọi x, z

Answers

Answer:

shimani mashashina mashina shishushi mashinana

[tex]\text{Solve for x:}\\\\3x + 9 = 12\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 1[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\3x+9=12\\--------\\\rightarrow 3x + 9 -9 = 12 - 9\\\\\rightarrow 3x = 3\\\\\rightarrow \frac{3x=3}{3}\\\\\rightarrow \boxed{x=1}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x = 1

Step-by-step explanation:

(x + a = b

 x = b - a)

    or

(x + a = b

x + a - a = b - a     [subtract both sides by a ]

 x + 0 = b - a                [ - a + a = 0 ]

  x = b - a )

[tex]3x + 9 = 12\\3x + 9 - 9 = 12 - 9\\3x + 0 = 3\\3x = 3\\\\\frac{3x}{3} = \frac{3}{3}\\\\x = 1[/tex]

Help me which one is correct?

Answers

Answer:

here is the answer bae. Feel free to ask for more

Answer: -m3+m2

Step-by-step explanation: 2m2-[m2(7m-)]6m2

2m2-7m2-m3+6m2

-m3+m2

Shirts-2-Go sells t-shirts for a base price of $12 per shirt plus a fixed fee of $3 shipping and handling for the whole order. Shirts PLUS sells t-shirts for a base price of $8 per shirt plus a fixed fee of $23 shipping and handling for the whole order. Let x represent the number of shirts ordered and let y represent the total cost of the order.

y = 12x + 3

y = 8x + 23

How many shirts would you have to purchase for the total cost to be the same at both companies?

Answers

Answer:

5 shirts

Step-by-step explanation:

Y=12x+3 equation 1

y=8x+23 equation 2

12x+3=8x+23 substituting y value will cause equations to equal

4x=20

x=5 shirts

check answer

y=12x+3

y=12(5)+3

y=60+3

y=63

y=8x+23

y=8(5)+23

y=40+23

y=63

Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70

Answers

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?

Answers

Answer:

500

Step-by-step explanation:

3000 divided by 6

Hope this helped, sorry if I'm wrong!

Answer: 384

Step-by-step explanation:

Subtract 3,000 by 696 to see how many words he has left.

3,000 - 696 = 2,304

Then divide 2,304 by 6.

2,304 ÷ 6 = 384

Your answer is 384 words each day.

A) En un videojuego el número de pruebas que hay que superar es el doble de las del nivel anterior, si en el nivel 1 hay dos pruebas, ¿Cuántas habrá en el nivel 5? ¿y en el 9? ES PARA MAÑANAAAAA

Answers

Answer:

En el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Step-by-step explanation:

En un videojuego en el nivel 1 hay 2 pruebas.

El número de pruebas que hay que superar es el doble de las del nivel anterior. Entonces en el nivel 2 se deben superar 4 (2 pruebas del nivel 1*2, el doble) pruebas, mientras que en el nivel 3 hay que superar 8 pruebas (4 pruebas del nivel 2*2, el doble).

Una sucesión es una secuencia ordenada de números. Si observamos en este caso, la sucesión que se forma para calcular el número de pruebas es 2ⁿ, donde n es el número de nivel en el videojuego.

Entonces, por ejemplo, en:

el nivel 1: 2ⁿ= 2¹= 2 pruebasel nivel 2: 2ⁿ= 2²= 4 pruebasel nivel 3: 2ⁿ= 2³= 8 pruebas

Entonces, para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁵= 32 pruebas

mientras que para calcular la cantidad de pruebas en el nivel 5 se realiza el cálculo:

2ⁿ= 2⁹= 512 pruebas

Entonces, en el nivel 5 habrá 32 pruebas mientras que en el nivel 9 habrá 512 pruebas.

Sabiendo como cambia el número de pruebas por nivel, veremos que en el nivel 5 hay 32 pruebas y en el nivel 9 hay 512 pruebas.

Sabemos que la cantidad de pruebas que hay que superar en cada nivel es el doble de las que hay en el nivel anterior.

Entonces, esto es una serie geometrica, que se puede escribir como:

[tex]A_n = A_1*2^{n - 1}[/tex]

Donde A₁ es la cantidad de pruebas en el primer nivel, que sabemos que son 2.

Entonces escribimos:

[tex]A_n = 2*2^{n-1} = 2^n[/tex]

En el nivel 5 tenemos n = 5, entonces la cantidad de pruebas que hay en e nivel 5 esta dado por:

[tex]A_5 = 2^5 = 32[/tex]

Es decir, hay 32 pruebas en el nivel 5.

Para el nivel 9 tenemos n = 9, entonces hay:

[tex]A_9 = 2^9 = 512[/tex]

Hay 512 pruebas en el nivel 9.

Sí quieres aprender más. puedes leer:

https://brainly.com/question/18790599

Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?

Answers

Answer:

3.16666667 tons

Step-by-step explanation:

hope this helps have a good evening

Hey guys I need help again please.. it’s question number 5

Simplify the expression 2* = 210.

Answers

2 ^-6 or 1/2^6


… subtract for exponents and make sure the constants are same

Answer:

1/64

Step-by-step explanation:

When dividing numbers with exponential values (that have the same base), you subtract the exponential values. 4 - 10 is -6, so the answer would be 2^-6. However, that is not simplified yet. If the exponent is negative, the expression turns into a fraction. 1/2^6 can also be written as 1/64, which is the final answer.

There are 75 students in classes A and B altogether. There are 61 students in classes A and C altogether. The ratio of the number of students in Class B to Class C is 5:3. How many students are there in Class A?

Answers

Answer:

40

Step-by-step explanation:

A +  B=75

A + C = 61

B = 5/3 *C

A+C * 5/3 = 75 then we got the answer

Answer:

A = 40

Step-by-step explanation:

A+B = 75

A+C = 61

Subtract

A+B = 75

-A-C = -61

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

B-C = 14

B:C

5:3

for every 5B there are 3C

Replace B with 5/3 C

5/3C-C = 14

2/3C = 14

C = 21

A+C = 61

A +21 = 61

A = 40

The graph of y - 3x + 2 is:

Answers

The answer should be D!

Find the value of x in the figure below

Answers

I’m not sure but I added them up & combined like terms & got x=17.

Step-by-step explanation:

this might help you out..

(First correct answer for brainliest) Find the length of JM

Answers

Answer:

JM = 18 units

Step-by-step explanation:

∆MHN and ∆JKH are similar (by A.A.A axiom)

so, their sides are proportional

i.e.

(JM+18)/(20+15) = 18/15

or, JM + 18 = 540/15

or, JM = 36-18

hence, JM = 18

What’s the perimeter of the pentagon

Answers

Answer:

74 cm

Step-by-step explanation:

Perimeter Pentagon = 48 + (38 - 12)

48 + 26 = 74

74 cm

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Instructions: Find the slope of the line through the points (-15, 14) and (13, 6). Make sure to simplify
fractions and enter your answers with a foward slash (i.e."/"). If the slope is undefined enter "undefined."
Slope =

Answers

Answer:

= -2/7

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

    = ( 6-14)/(13 - -15)

    = (6-14)/(13+15)

    = -8/28

   = -2/7

In your English class you are given a list of 12 books you want to choose three books to read over the summer how many groups of three books are available from the list of 12

Answers

Answer:

4

Step-by-step explanation:

Perform the transformations

Answers

I can’t see the question it looks blurry

here try to figure out this problem

Answers

Answer:

2

Step-by-step explanation:

2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2

Hope this helps

A square has an area of 36 ft^2. What is the perimeter of the square? Show or explain your
answer.

Answers

Answer:

24 ft

Step-by-step explanation:

The area of a square is given by

A = s^2

36 = s^2

Take the square root of each side

sqrt(36) = sqrt(s^2)

6 = s

The perimeter of a square is

P = 4s

P = 4(6)

P = 24

Find the difference of the numbers. Express your answer in scientific notation.
(9.84 x 100)-(7.99x109)
1.85 x 10^9
9.041x 10^
1.85 x 10^10
9.041x 10^10

Answers

Answer:

D: 9.041 × 10^(10)

Step-by-step explanation:

The correct expression is;

(9.84 × 10^(10)) - (7.99 × 10^(9))

To subtract this, we need to ensure that both terms have the same powers.

Thus, (7.99 × 10^(9)) = (0.799 × 10^(10))

Lets now solve;

>> (9.84 × 10^(10)) - (0.799 × 10^(10))

Collecting like terms we have;

(9.84 - 0.799) × 10^(10)

>> 9.041 × 10^(10)

Which one of the following is a non-profit financial intermediary?
Leasing company
Mutual fund
Credit union
Investment bank

Answers

Answer:

The answer is Credit union

Step-by-step explanation:

7 giờ bằng bao nhiêu giây?

Answers

Answer:

Step-by-step explanation:

25 200 giây

High population density can cause increases in competition for resources, such as food and shelter. The table shows the number of zebras living in four different regions.

A 3-column table has 4 rows. The first column has entries Region A, Region B, Region C, Region D. The second column is labeled Population of Zebras with entries 1,312, 630, 16,400, 17,800. The third column is labeled Area (kilometers squared) with entries 212, 314, 625, 902.

In which region is competition for resources most likely the greatest?

Region A
Region B
Region C
Region D

Answers

Answer: C. Region C

Step-by-step explanation: Done on edge! Hope this helps!

which table represents a nonlinear function?

Answers

Answer:

C

Step-by-step explanation:

C

The x values for all of them are 2, 4, 6. So the amount in between each y value should stay the same for it to be linear. However, in choice C, it goes from 0 to 6 to 16. The interval went from 6 to 10.

14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..

Answers

Answer:

No. of sweets = 123

No. of children = 7

then

sweets per children =123/7 =17. 57

Answer: =17.57

Step-by-step explanation:

Divide the no. of sweets by the no. of children

=123/7

=17.57

How do I fill this out I need to pass this class to move up a grade

Answers

Answer: x = 8,-2

Step-by-step explanation:

x^2-6x-16=0

x =[ -(-6)+-sqrt(-6)^2 - 4x1x(-16)/2x1

x = [6+-sqrt 36+64]/2

x = 6+-sqrt 100/2

x = 6 +-10/2

x = 6+10/2, 6-10,2

x = 8, -2

Answer:

Step-by-step explanation:

This is the quadratic equation formula for the roots.

x^2 - 6x - 16 = 0

x = [- (-6) +/- √( (-6)^2 - 4*1*-16) / 2*1

x = (6 +/- √(36 + 64) / 2

x = (6 +/- √(100) / 2

x = (6 +/- 10) / 2

x =  16/2 = 8

x = -4/2 = -2

20x + 8y= 500 solve for x and y

Answers

5x+2y-125=0…………………………

Sam works as a baggage carrier at an airport facility. He owes a certain amount of money, in dollars, to his friend Daniel. The function y = 12x − 40 represents the amount of money that Sam has after paying Daniel back in terms of the number of hours he works at the airport.

Answers

Answer:40: the amount in dollars that sam owes Daniel. 12: the amount in dollars that sam earns per hour, y variable: the amount in dollars that sam has after paying back Daniel, x variable: the number of hours Sam works at the airport.

Step-by-step explanation:

Answer:

x variable =  represents the number of hours Sam works at the airport

y variable = represents the amount in dollars that Sam has after paying Daniel 

12 = is the amount in dollars that Sam earns per hour

40 = is the amount in dollars Sam owes Daniel

Step-by-step explanation:

The pair of triangles below have two corresponding parts marked as congruent. What additional information is
needed for a HL congruence correspondence?

A. ∠M≅∠H
B. LM≅JK
C. LM≅JH
D. LN≅JK
(there is a line above the letters besides a)

Answers

Answer:

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

can I get a walkthrough on these problems please?

Answers

Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree

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