What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4

Answers

Answer 1

Answer:

        aₙ = 3n - 11

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]


Related Questions

help please. or don't, idrc ( i just don't feel like doing the work ).

Answers

Answer:sorry i don’t know

Sorry

Step-by-step explanation:

Answer:

#1:

Formula- length x width

Plug in values- 6 x 12

Area- 72 ft

#2:

Formula: base x height

Plug in Values: 3.7 x 12

Area: 44.4 m

#3:

Formula: base x height

Plug in Values: 2.2 x 8

Area: 17.6 cm

#4:

Formula: length x width

Plug in Values: 15 x 2.5 (2 1/2)

Area: 37.5 in

The area of a rectangular plot of land is 58 of a square mile. If this plot of land is 34 of a mile wide, what is the length, in miles, of this plot of land

Answers

The fact that you have Nikita as pfp

Answer:

5/6 miles

Step-by-step explanation:

(5/8)/(3/4) = 5/6 miles

Look at the figure. A 10 foot tall flagpole cast a shadow that is 24 feet long what is the approximate length of the shadow cast by a 24 foot tall pole at the same time

Answers

Approx 60 feet see pic for work

Find the total surface.
A)75.4
B)100.5
C)88
D)44​

Answers

The answer is d 44 i dont know how to show work

The Answer would be C) 88

16 years 6 months =
months?

Answers

Answer:

198 months

Step-by-step explanation:

12 months in a year times 16 years plus 6 months is 198

For the data set 16,17,18,19,30, the mean is 20. WHat is the abslute deviation?

Answers

Answer:

pretty sure its 4

8 is the quotient of a number g and 3

Answers

Answer:

g = 3/8

Step-by-step explanation:

Amanda bought 5 bottles of Pepsi and two medium pizzas, The Pepsi cost $9.95 and the total bill was
$29.93.



will mark brainlest

Answers

Answer:

9.99

Step-by-step explanation:

5 bottles of Pepsi equals $9.95 subtract that from $29.93 than u divide that anser by so ur answer is 9.99

Three fourths divided by nine

Answers

Answer:

0.1

Step-by-step explanation:

Divide 3/4 by 9 which will leave you with 0.083 repeated but if you estimate to the closest decimal that will bring you to 0.1 as your final answer.

The correct answer is 1/12

The difference of a number b and 8 is 15

Answers

can u show me a shorter verison

Evaluate the function at the given value if f(x)= 5x-7 find f(2)

Answers

Answer:

3

Step-by-step explanation:

f(x)=5x-7

for f(2) just put 2 in place of x

so,

f(2)=5(2)-7

f(2)=10-7

f(2)=3

Need help with math plzz help no links or imma report. 20 point math plzz help me

Answers

Answer:

B. 15

Step-by-step explanation:

We know that we need to make the equation fit for one week. So for Nic we make the equation: 150x+75y. X being the weeks and y being the packages sold. Asia's equation would be 1275x. Make x equal 1, for one week.

150+75y

1275

Then subtract the weekly cash from each other.

1275-150= 1125

Than divide by 75 to see how many packages.

1125/75= 15

15 packages are needed to be sold.

Suppose a polynomial of degree 4 with rational coefficients has the given numbers as zeros. Find the other zero.

Answers

Answer:

[tex]x_4 = -5 + i[/tex]

Step-by-step explanation:

See comment for complete question.

From the complete question, we have:

[tex]Zeros \to -2, -6, -5-i[/tex]

Required

Determine the other zero

The zeros can be represented as:

[tex]x_1 = -2[/tex]

[tex]x_2 = -6[/tex]

[tex]x_3 = -5-i[/tex]

Considering the 3rd zero, which is a complex number.

If a polynomial has a complex number as one of its zeros, then its conjugate pair is the corresponding zero

A conjugate pair is given as:

[tex]a + bi[/tex] and [tex]a - bi[/tex]

For [tex]x_3 = -5-i[/tex]

The conjugate pair is:

[tex]x_4 = -5 + i[/tex]

Hence, the other zero is: [tex]-5 + i[/tex]

¿Cuántos factores iguales tiene la potencia 0 elevado a 2 y 0 elevado a 5?
¿ Y cómo podemos generalizar la situación?

Answers

Ok I will give brainliest the call and let him know that he is in a good

The ratio of the areas of two smaller similar quadrilaterals is 81/16. The perimeter of the smaller is 32 centimeters. What is the perimeter of larger quadilaterals

Answers

A1:A2=81:16
P2=x
P1:P2=x:32
81:16=x:32
x=81•32/16
x=162 cm
P2=162 cm
Good luck

help please. A bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice. Which
graph has a slope that best represents the ratio of orange juice to pineapple juice in this
bottle?
Juice
Juice
у
20
Amount of
Orange Juice (fl oz)
Amount of
Orange Juice (fl oz)
X
x х
0 2 4 6
8 10
Amount of
Pineapple Juice (fl oz)
0 2. 4 6 8 10
Amount of
Pineapple Juice (fl oz)
Juice
Juice
Amount of
Orange Juice (fl oz)
Amount of
Orange Juice (fl oz)
X
0 2 4 6 8 10
Amount of
Pineapple Juice (fl oz)
0 2 4 6 8 10
Amount of
Pineapple Juice (fl oz)

Answers

Answer:

option B. G

Step-by-step explanation:

Let

y ---->ounces of orange juice

x --->  ounces of pineapple juice

we know that

The ratio of orange juice to pineapple juice is equal to

substitute the given values

simplify

Verify each graph

Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

we have

that means

5 ounces of orange juice per 3 ounces of pineapple juice

Graph F

The slope is

Graph G

The slope is

Graph H

The slope is

Graph J

The slope is

The value of 2 is the value closest to 1.67

therefore

The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph GStep-by-step explanation:

The ratio of orange juice to pineapple juice in this bottle is 5: 3, so the correct option is G.

Given that a bottle contains 30 fluid ounces of orange juice and 18 fluid ounces of pineapple juice, to determine which graph has a slope that best represents the ratio of orange juice to pineapple juice in this bottle, the following calculation must be performed:

30/18 = Major Common Divisor is 6 (30/6) / (18/6) = X 5/3 = X

Therefore, the ratio of orange juice to pineapple juice in this bottle is 5: 3, so the correct option is G.

Learn more in https://brainly.com/question/13419413

Can you please help me

Answers

Answer:

it would be the first one because it has a value of 1,966. and the second one has a value of 983 so the first one would be the one with the greater value

Giving 20 points plz help me

Answers

This would be three square inches.

Answer:

3 square inches

Step-by-step explanation:

if each sticker is 1 inch by 1 inch, that means they each have an area of 1 in² since A=lw (area equals length times width), A=1×1, A=1. Now since there are 3 stickers, 3 stickers ×1 inch² equals a total area of 3 inches²

Hope this helps!

You can afford a $800 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford?
$
b) How much total money will you pay the loan company?
c) How much of that money is interest?

Answers

a) You can afford a loan of approximately $96,927.88.

b) You will pay a total of $288,000 to the loan company.

c) Approximately $191,072.12 of that money is interest.

To determine how big of a loan you can afford, we can use the formula for the monthly mortgage payment:

M = P * (r(1+r)^n) / ((1+r)^n - 1)

Where M is the monthly mortgage payment, P is the loan principal, r is the monthly interest rate (annual interest rate divided by 12), and n is the total number of payments (number of years multiplied by 12).

a) First, we need to calculate the monthly interest rate and the total number of payments:

Monthly interest rate = 7% / 12 = 0.07 / 12 = 0.00583

Total number of payments = 30 years * 12 months/year = 360

Now we can plug in the values into the formula:

800 = P * (0.00583 * (1+0.00583)^360) / ((1+0.00583)^360 - 1)

To solve for P, we can rearrange the equation:

P = 800 * ((1+0.00583)^360 - 1) / (0.00583 * (1+0.00583)^360)

Using a calculator, we find that P is approximately $96,927.88.

b) To calculate the total money paid to the loan company, we multiply the monthly payment by the total number of payments:

Total money paid = $800 * 360 = $288,000

c) To determine how much of that money is interest, we subtract the loan principal from the total money paid:

Interest = Total money paid - Loan principal

Interest = $288,000 - $96,927.88

Interest = $191,072.12

For more such questions on interest visit:

https://brainly.com/question/25720319

#SPJ8

In the coordinate graph shown, the x-axis and y-axis have different scales. Which statement below is NOT correct?
A. On the x-axis, 1 tick mark represents 0.5 unit
B. On the y-axis, 1 tick mark represents 0.4 unit
C. The length of the red segment is 3 units
D. The length of the blue segment is 4 units

Answers

Answer:

The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.

Nakeisha is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $1.25 per mile driven. How much would a taxi ride cost if Nakeisha is riding for 10 miles? How much would a taxi ride cost that is mm miles long?

Answers

Answer:

16.5

Step-by-step explanation:

1.25*10 = 12.5+4=16.5

If you multiply something by ten, you move the decimal point to the right once

(Im not sure what you mean by mm miles long

help me pls i will give you brainliest

Answers

Answer:

A. 36

Step-by-step explanation:

Answer:

A has to be A

Step-by-step explanation:

person above is right

A faraway planet is populated by creatures called Jolos. All Jolos are either
green or purple and either one headed or two-
headed.
Balan, who lives on this planet, does a survey and finds that her colony of 725
contains 145 green, one-headed Jolos; 240 purple, two-headed Jolos; and
350 one-headed Jolos.
One-headed Two-headed Total
Green
145
Purple
240
Total
350
725
How many green Jolos are there in Balan's colony?

Answers

Answer:

Its 280

Step-by-step explanation:

I got it right on A P E X

What is the length of the apothem, rounded to the nearest tenth?

Answers

Answer:

6.5cm

Step-by-step explanation:

please find attached the question

the length of the apothem can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base = 9.4/2 = 4.7cm

c =  hypotenuse = 8cm

a² + 4.7² = 8²

a² + 22.09 = 64

a² = 41.91

find the square root

a = 6.5 cm

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Janelle is making snacks for her classmates.
There are two cups of raisins in one batch. For every
2 cups of raisins, Janelle adds 4 cups of oats. How many
cups of oats will she need if she has 10 cups of raisins?
Draw a table and write a possible rule.
Possible rule

Answers

Okay so the answer is 20
Here’s a table you can use
2|4
4|8
6|12
8|16
10|20

Please help me :(bbbbbb

Answers

Answer:

im sorry this seems to not be correctly stated

Step-by-step explanation:

HELP ME I WILL GIVE BRAINLY IF I WAS BORN SEPTEMBER 13th and I WAS 16 WHAT YEAR WAS I BORN

Answers

Answer:

2004

Step-by-step explanation:

if it was 2005 theyd be 15

Milly bakes cookies to sell for a fundraiser. her goal is to raise $500. the first day she reaches 3/8 of her goal. on the second day she reaches 50% of the remaining money to meet her goal. how much money does milly still need to reach her goal?​

Answers

Answer:

312.50

Step-by-step explanation:     3/10 of 500 is  187.5 so subtract that with 500 and you will get 312.50

2/5 - 1/ 3 / 4/7

A. 7/8
B. 4/14
C. -11/60
D. 8/14

Answers

Answer:

2/5 - 1/ 3 / 4/7

[tex] \frac{2}{5} - \frac{1}{3 } \times \frac{7}{4 } \\ \frac{12 \times 2 - 7 \times 5}{60} \\ \frac{ - 11}{60} [/tex]

C.-11/60 is your answer

24 and 25 thanks you no links or i report

Answers

Answer:

24) D. 5

25) C. $40

Step-by-step explanation:

........

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