2) Given the sequence 5, -2, -9, ...

Find the first term:

Is the sequence arithmetic?

Find the common difference d:

Find the general term an:

Find the 20th term:

Find the sum of the first 50 terms:

Answers

Answer 1
The first term is 5

Yes this a arithmetic sequence

The common difference is 7

Answer 2

Answer:

Find the first term:  

The first term is 5

Is the sequence arithmetic?

Yes because (5 -7 = -2) (-2 - 7 = -9)  

Find the common difference d:

The common difference is -7

Find the general term an:

[tex]a_{n}[/tex] = (first term) + ((nth term) -1) · (common difference)

[tex]a_{n}[/tex] = 5 + (n - 1) · (-7)

Find the 20th term:

[tex]a_{20}[/tex] = 5 + (20 - 1) · (-7)

= -128

Find the sum of the first 50 terms:

[tex]a_{50}[/tex] = 5 + (50 - 1) · (-7)

= -338


Related Questions

what is the value of a in a/5 + 3= 8

Answers

Answer:

Step-by-step explanation:

what is the value of a in a/5 + 3= 8

a/5 + 3= 8

a/5 = 8 - 3

a/5 = 5

a = 5 * 5

a = 25

Answer: a= 25

Step-by-step explanation:

first, you'll have to write the opposite of the + symbol which is - and then you'll have to lose the 3 by substracting it with, so the equation will look like this: a/5= 8-3 not 8+3

a/5=5

after that step you'll have to multiply 5 from the equal sgin with the 5 that is divided by a, so the final equation looks like this:

a=5x5

a=25

now let's make a verification:

25/5+3=8

5+3=8

a=25

hope I helped you :)

What is slope ? Help me please

Answers

Answer:

Step-by-step explanation:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). there you go.

Write 5×100+9×1+3×1/100+7×1/1000 in standard form

Answers

Answer:

512.017

Step-by-step explanation:

Just multiply all the numbers and add them as you go along to make one number.

May I please get help i really dont understand, and would like some help

Please and thank you!

Answers

The answer is after 8 days

Answer:

8 days

Step-by-step explanation:

Every day, 1.26 stock is returned. You want to find the number of days until it reaches 10.08, so create an equation. x represents days.

1.26 * x = 10.08

x = 8

A bag contains 12 identical marbles consisting of an equal number of red, green and yel low marbles. A marble is picked at random from the bag. a) Are all the outcomes equally likely? Give a reason for your answer?​

Answers

Answer:

yes the outcomes are equally likely

Step-by-step explanation:

12 = red yellow green

12 = 3

12/3

4

red balls are 4

yellow balls are 4

green balls are 4

so the outcome is equal for all the colour of the balls

What multiple of five is also a factor of five

Answers

Hello, hope you are having a remarkable day. :)

These are the multiples of 5:

5, 10, 15, 20, 25, 30, 35...

These are the factors of 5:

1, 5

As we can see, the number 5 is both a multiple of 5 and a factor of 5.

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

Owen is driving to a concert and needs to pay for parking. There is an
automatic fee of $12 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Owen have to pay for parking if he left his car
in the lot for 5 hours? How much would Owen have to pay if he left his car in
the lot for t hours?
Cost of parking for 5 hours:
Cost of parking for t hours:

Answers

Answer:

$39

Step-by-step explanation:

because 12 enter and leave is 24 then 3 per he that is 39$

I lowered the points because people were stealing them.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Domain ~

[tex] - 6 \leqslant x \leqslant - 1[/tex]

Range ~

[tex] - 5 \leqslant x \leqslant - 3[/tex]

Domain and range are correct in the other answer. Slope is -2/5 (negative two fifths), and y-intercept is not applicable because the line segment does not cross the y axis, however if you need an answer the line would keep going and would cross the y axis at 5.4 or 27/5 (not sure which form you need)




2. A number 'a' is equal to the square of the number 'b' plus three times the
number'c
o Write a formula for 'a'

Answers

Answer:

a = b² + 3c

Step-by-step explanation:

The square of the number b is b² and 3 times c is 3c , then

a = b² + 3c

expand and simplify a(a+2)

Answers

Answer:

a²+2a

Step-by-step explanation:

multiple a with a and 2

hurry please im dead meat if i cant do this picture below

Answers

Answer:

4 divided by 1/8

hope it helps

Step-by-step explanation:

The sum of first four terms is a G.P. is 30 and that of the last four terms is 960. if its first term is 2 find the common ratio .

Answers

If the sum of first four terms in a G.P. is 30 and that of the last four terms is 960, then the sum of the first 8 terms is 990

We also know that a = 2

sum of first 4 terms

= 2(r^4 - 1)(r-1) = 30

r^4 - 1 = 15r - 15

r^4 - 15r + 14 = 0

r = 1 works for the equation , but r = 1 would make all the terms of the

GP the same, so clearly not a solution

r^4 - 15r + 14 = 0 , a bit of trial and error ....

(r-1)(r - 2)(r^2 + 3r + 7) = 0

so r = 2 or r = not real

check: sum(4) = 2(2^4 - 1)/(2-1) = 30 , as needed

so r = 2 , BUT it does not work for sum(8)

sum(8) = 2(2^8 - 1)(2-1) = 510 , not 990 as necessary according to your second part of the question.

check your question.

If given DG ≅ JK, which congruence postulate or theorem must you use before proving FG ≅ HK?

Answers

Answer:

  the correct answer choice is marked (AAS)

Step-by-step explanation:

All the corresponding angles are marked congruent. If one corresponding side is marked congruent, you can claim AAS or ASA congruence for the triangles: one side and two angles. Of these, AAS is among the answer choices.

You must use AAS to show triangle congruence before claiming FH ≅ HK by CPCTC.

write a recursive formula for this sequence

2.3, 2.8, 3.3, 3.8, ...

Answers

Answer: 2.3

Step-by-step explanation: 3.8-3.3 =3.3-2.8=2.8-2.3=0.5 (common difference)of arithmetic sequence

a recursive formula for the sequence is : An+1=An +0.5

I need help please !

Answers

Answer:

y column: 1st = -7 , 2nd = -5 , 3rd = -3 , 4th = -1 , 5th = 1

2315 x 584 / 591 x 841

Answers

Answer:

About 2.72 rounded

Step-by-step explanation:

PEMDAS

:))

I need help finding this answer

Answers

y = -2x - 4

--> Swap sides so that all variable terms are on the left hand side

-2x - 4 = y

--> Add 4 to both sides

-2x = y + 4

--> Divide both sides by -2

-2x/-2 = y+4/-2

--> Dividing by -2 undoes the multiplication by -2.

x = y+4/-2

--> Divide y+4 by -2

x = -y /2 -2

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

y = 1/4x + 5

--> Swap sides so that all variable terms are on the left hand side.

1/4x + 5 = y

--> Subtract 5 from both sides.

1/4x = y - 5

--> Multiply both sides by 4.

1/4x 1/4 = y - 5/ 1/4

--> Dividing by 1/4 undoes the multiplication by 1/4.

x = y - 5/ 1/4

--> Divide y - 5 by 1/4 by multiplying y - 5 by the reciprocal of 1/4.

x = 4y - 20

Hope this helps you!

answer to this question please

Answers

Answer:

Volume is 21

Explanation

Base length is 4.5

Widgth is 3.5

and height is 4 (I can't tell if its 2 because picture is blurry)

V=lwh/3=4.5·3.5·4= 21

Write the following phrase as an algebraic expression. Use k for the unknown.

"The product of 20 and a number"

Answers

Answer: 20k

Step-by-step explanation: product means to multiply. Use k for the unknown number. 20 times k can be written as 20k.

A number is 5 less than 2 times another number. Their sum is 25. What are the 2 numbers ?

Answers

Answer:

I don't understand the question but I think the answer is either 10 or 30

a. For y = 5+ 80 when x = 4, what does y equal?
b. For a = 3 - 5c when c = -0.5, what does a equal?
c. For n = 2d2 – 5 when d = -2, what does n equal?
n
d. For v = -3(1 – 3) when r = -1, what does v equal?

Answers

a. y = 5x + 80 = 5*4 + 80 = 20 + 80  = 100

b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5

c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3

d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12

Work out
(
7
×
10

3
)

(
4
×
10

5
)
Give your answer in standard form.

Answers

Answer:

32

let me know if its correct!

SOLVE FOR f
3/5 · f = 1 5/7

Answers

Answer:

f = 2 6/7

Step-by-step explanation:

[tex]\dfrac 35 \cdot f = 1 \dfrac 57 \\\\\\\implies \dfrac{3f}5 = 1 + \dfrac 57 = \dfrac{12}7\\\\\\\implies 21f = 60\\\\\implies f = \dfrac{60}{21} = \dfrac{20}7 = 2 \dfrac 67[/tex]

1) Order the numbers from least to greatest.
=2
3
3.5
2.5
2
NI
PLEASE HELP

Answers

Answer:

2, 2, 2.5, 3, 3.5

Step-by-step explanation:

Answer:

2, 2.5, 3, 3.5

Even thought there are two "2's", you only list one making it 2,2.5,3,3.5 instead of 2,2,2.5,3,3.5

What is the value of y? y = 40 y = 80 y = 100 y = 120.

Answers

Answer:

I think it is 80. But I am also not sure because this question is not briefly described.

Answer:

80

Step-by-step explanation:

got it right on edge

Please help im in a hurry

Answers

Answer:

I can't explain this discrepancy other than to suggest that they are talking about 2 different groups.  The boss has included his salary in the average, but the employee is only concerned about the wage of the average worker.

Step-by-step explanation:

{Find the number that is missing from the equation}
Question 1 →3 + __________ = (-7)
Question 2 → Solve : (-9) + 18 + (-2) + (-5) + 9.

Answers

Answer:

-10

and I think it's 11 or 7

Can someone please help me with this

Answers

Answer:

f(x) = 3x +4f(x) = 5x +2f(x) = -4x +11f(x) = -4x +11 (same table as problem 3)

Step-by-step explanation:

To write the equation for f(x) in slope-intercept form, you need to know the slope and the y-intercept. The y-intercept is the value of f(x) when x=0. You can read this directly from the table.

The slope is the ratio of the change in f(x) to the change in x. It can be computed using the formula ...

  m = (y2 -y2)/(x2 -x1)

where (x1, y1) and (x2, y2) are any two pairs of numbers from the table. You can use the first two table rows, for example.

__

1. m = (10 -4)/(3 -0) = 6/3 = 2; y-intercept = 4 (from ordered pair (0, 4))

  y = mx +b . . . . line with slope m and y-intercept b

  f(x) = 2x +4

__

2. m = (2 -(-3))/(0 -(-1)) = 5/1 = 5

  f(x) = 5x +2

__

3. m = (11 -19)/(0 -(-2)) = -8/2 = -4

  f(x) = -4x +11

__

4. same as 3.

Harper is knitting a scarf for her cousin's birthday. She plans to knit every night, making the scarf 5 centimeters longer each night. Write an equation that shows the relationship between the number of nights Harper spends knitting, x, and the length of the scarf in centimeters, y.

Answers

The equation that shows the relationship between x and y is:

y = 5x

A linear equation is in the form:

y = mx + b

where m is the rate of change and b is the initial value of y, y, x are variables.

Let x represent the number of nights knitting and y represent the length of the scarf.

The equation that shows the relationship between x and y is:

y = 5x

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

volume of a cube is 343 cm cube . find the edge​

Answers

Answer:

Edge: 7 cm

Step-by-step explanation:

Cubic root of 343 = 7

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