Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.

Answers

Answer 1

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59


Related Questions

Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?

Answers

you’re answer is 5x-10=y i think.

What is the measurement of this angle?

Answers

The measurement of all angles is 180, so just subtract the other two angles from 180

180 - 59 - 67 = 54 degrees

Answer:

54°

Step-by-step explanation:

All the angle measures of a triangle must add up to equal 180°. So,

59°+67°+x°=180°

x=54°

Dan was thinking of a number. Dan doubles it and adds 0.8 to get an answer of 58.9. Form an equation with
x
from the information.

Answers

Answer:

2x + .8 = 58.9

His number, x, is 29.05

Step-by-step explanation:

2x + .8 = 58.9

2x = 58.1

x = 29.05

PLZZZZZZZZZZZ HELP 1000 POINTS AND BRAINLIEST

Answers

Answer:

you would have to subtract the points a and b to get question a. And for c, you would have to mark it on a graph in order for it to show. I am pretty sure this is how you do it. Sorry I tried my best, plz don't come at me if it is wrong.

Step-by-step explanation:

Answer:

you need to subtract the points a and b to get the question a.  for c, you need to mark it on a graph in order for it to show. I sure this is how you do it

i tried my best

hope it helps

Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?

Answers

The values of a and b from the given complex numbers is 8 and -3 respectively.

The standard form of representing complex number is expressed as z = x + iy

Given the complex numbers z = 8 – 3i, and z2 = a + bi

To get the values of a and b, we need to compare both expressions as shown:

For the real part;

a = 8

For the imaginary part:

-3i = bi

-3 = b

Swap

b = -3

Hence the values of a and b from the given complex numbers is 8 and -3 respectively.

Learn more about complex numbers here: https://brainly.com/question/12375854

185/6 helppppppppopppooooooooo meee​

Answers

Answer:

30 5/6

Step-by-step explanation:

185 = 30x6 + 5

Answer:

30 5/6

Step-by-step explanation:

goodluck guyssSana Tama yan

please i really need help



The perimeter of each shape is 3 units? True or False?​

Answers

The perimeter of each shape is false
4(2.5x-3)=3(2x-2)
10x-12=6x-6
4x-12=-6
4x=6
x=1.5

2.5(1.5)-3= 0.75
2(1.5)-2=1

False

If 40 hours is a full work week and any thing over 40 is overtime or time and a half. If u worked 50 hours one week, and 55 hours the second week how much would ur pay check be

Assuming u make 15 dollars a hour for normal pay?

Answers

Answer:

first week would be $750 second week would be $825

If your pay is every two weeks it would be $1575

Step-by-step explanation:

lacie is making bracelets. if each has 11 beads, and each bead has 2 colors, red and green, how many different bracelets can lacie make if the bracelet can be rotated without losing its uniqueness but cant be flipped

Answers

Answer:24

Step-by-step explanation:

Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.

4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2

Answers

Answer:

Graphs shown below.

4.) x-intercept: (3,0)  y-intercept: (0,-2)  slope: 2/3

5.) x-intercept: none  y-intercept: (0,4.5)  slope:0

6.) x-intercept: (3,0) and (-1,0)  y-intercept: (0,-1)   slope: none

#4 is blue graph, #5 is green graph, #6 is red graph

Step-by-step explanation:

** #4 is blue graph, #5 is green graph, #6 is red graph **

anybody know this at all? ​

Answers

Answer:

perimeter = 4x³ + 3x² + 2

Step-by-step explanation:

perimeter = sum of the lengths of the sides

perimeter = 2x³ + 3x³ - x² - x³ + 4x² + 2

perimeter = 4x³ + 3x² + 2

w+(−2.8)=4.3 whats the answer

Answers

Answer:

w=7.1

Step-by-step explanation:

Answer:

w=7.1

Alternate form

w= [tex]\frac{71}{10}[/tex] ,  w= 7[tex]\frac{1}{10}[/tex]

help please nfvribwibfvwbifvibbiurw

Answers

Answer: A, D, E

Step-by-step explanation:

What is the equation to the parallel of 7x-y=8 passing through the point (-2,3)

Answers

Answer:

y =7x + 17

Step-by-step explanation:

7x-y=8

y = 7x - 8......convert to slope intercept form

m = 7

parallel lines have the same slope

put in point slope form using the points of the equation of the line that you want to find

y - 3 = 7(x+2)

y -3 = 7x + 14.........distribute

y = 7x +14 + 3.........add 3 to both sides

y = 7x +17................simplify

what is The answer?

Answers

The answer is 58x+28

Sorry if it’s wrong

Answer:

134

Step-by-step explanation:

Please help me with this!

Answers

Answer:

9/40

i think it may be like this

Step-by-step explanation:

3/5.3/8

9/40

If 40% of a number is 24, find 10% of that number.

Answers

Answer:

6

Step-by-step explanation:

is    %

of   100

24  40

x    100

2400/40 equals 60

60 divided by 10 equals 6

What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!

Answers

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

simplify this addition 2m+3m+(-6m)​

Answers

Answer:

-m

Step-by-step explanation:

2m+3m+(-6m)=2m+3m-6m

                      =5m-6m

                      =-m

Answer:

-m

Step-by-step explanation:

2m+3m+(-6m)​

Remove parentheses.

2m+3m-6m

Add and subtract.

-1m or -m

Hope this helps :)

are my answers correct?​

Answers

Answer:

Partially. Your answer to a is correct but you used the wrong number for b.

Step-by-step explanation:

The amount of money you earn (profit) is taken after all of your expenses. You  correctly calculated that Leo made $5000 in profit. Divide that by 40 instead of $12850. (answer: $125/hour)

( DISCUSSION TOPIC )

NEED WITHIN 10 MINUTES!!!!


Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.

The prefix ir- means not.

What do you think it means for a number to be irrational?

Can you think of any numbers that are irrational?​

Answers

Answer:

A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.

An example of an irration number is the square root of 10, or pie because it is a infinited number

I hope this helps!

Answer:

the irrational is kind of a part

of the math that includes rational and

irrational numbers

How does the equation change when the radius changes? Unlike h and k, why is r always positive?

Answers

Answer:

When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.

Step-by-step explanation:

A math class consists of 20 female students and 12 male students. Two students are selected at
random to participate in a probability experiment. Compute the following probabilities. Write your
answers in decimal form. Round to the nearest thousandth as needed.
a. A male is selected, then a female.
b. A female is selected, then a male.
5
c. Two males are selected.
d. Two females are selected.
s
e. No males are selected.
orations
thinking
ng
Calculator
Check Answer
ty Classes
lent Course
tuations
CoyoteSuccess
Yeah

Answers

Answer:

b

Step-by-step explanation:

An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?

Answers

Answer:

The answer is $28.93.

Step-by-step explanation:

Using the butterfly method I got $28.93 as my answer.

$68.89 x 42%= $2,893.38

$2,893.38÷100%= $28.9338

$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.

Answer:

answer is D.

68.89 x .42=  $28

Step-by-step explanation:

to get your answer you multiply the numbers.

$68.89 x .42 = $28

your answer is $28.

hope this helps!

please make me brainliest !

given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
PLEASE HELP

Answers

Answer:

k=5

Step-by-step explanation:

The graph of g(x) is raised by 5 units so k is 5

Each year, the students in seventh grade go to an environmental camp. This year, the total cost is $1,580 for 79 students. Which equation represents the cost, y, of attending the camp for x number of students?

Select the correct answer.
y = 20x
y = 79x
y = 79x + 1580
y = 1580x + 79

Answers

y=79x+1580, this is the correct answer

Answer:

y=20x

Step-by-step explanation:

You have to find the cost by dividing the amount of money by the amount of students, to see house much each student paid. You are finding the unit price. Which is 20 because...

1.580/79=20

In conclusion,

Each student paid $20

An airline ticket costs $40.
The price is increased by 200%.
Work out the absolute increase.

Answers

So 200% is double of 100% which is $40 so that means that it is $80

An airline ticket costs $40. The price is increased by 200 percent. The absolute increase is $80.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Cost of airline ticket = $40.

Increase in price = 200% of $40

Absolute increase = [tex]\frac{200}{100}* 40 = 80[/tex]

 

Learn more about percentage here

https://brainly.com/question/13450942

#SPJ2

14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours

Answers

Answer:

D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]

Step-by-step explanation:

As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.

This week should be at first, and last week should be after the minus sign.

[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]

[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]

[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}[/tex]

[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]

[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]

[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]

if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?

Answers

5 minutes and 25 sec
21 divided by 4

Select the correct answer.
Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?
7
5
3
3
9

Answers

The correct answer is gonna be 9
Other Questions
Please help this is due tomorrow and I have no idea what to do Home Schoologyd. 423. The museum has 35 molecule models. They needto be packaged 4 to a box. After 8 boxes arefilled, how many models will be left?a. 3b. 2c. 1d. 0Which one is the answer Write in peel paragraph on''what was the most important reasons soldiers didn't wanted to fight in the world war 1''peel stands forPoint, Evidence, Explain and Linkplease someone do it fast for me its urgent i need itsomeone write it down do not give me a link it does not work for me Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.What is the approximate discount on the calculator?20%25%30%35% Why are children and certain individuals given special protection in the recommendations of the Belmont Report?because they are too small in size to be safely given many medicationsbecause they cannot be ethically included in experimental studiesbecause they are not autonomous and cannot give informed consentbecause they do not produce results that can be applied to adults The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class? Is there any specialized cells in a white rhino? . y- 2 = 2(x- 3) . y- 3 = 2(x- 2) C. y- 1 = 2(x- 9) D. y- 9 = 2(x-1) {3x5y=4 -2x+6y=18Please help solve for x and y What about the La Llorona from folklore of Latin American has Guadalupe Garcia McCall kept the same and what has she modernized in Summer of the Mariposas? What is the measure of angle xyz Eyewitness: WeatherNamePd1. The average temperature, winds, and rainfall that a place experiences over a period of yearsmake up its2. The weather is what happens on a particular3. In temperate regions, weather is (far more)4. Weather vanes have been around since.5. It is thethat drives our weather.6.keep the Earth warm after dark.7. Has Niagra Falls ever frozen solid?8. Virtually every society from the Japanese to the ancient Egyptians had some history ofworship.which9. The layer (of the atmosphere) nearest to us is theactually is.10. The troposphere is aboutmiles thick.in the11. Aristotle believed careful observation could reveal12. Aristotle invented T or F1. Plains are never found along coastlines Will give brainless to whoever gets this right Which expression has a positive product? 0 4.(-2).0.(-3) 2.(-5). ( 4)( 1) 6. (2).8.(3) 5- (6)-( 3). (3) How much work is done by a student holding a book with a force of 5N and walking forward 10 m? (The story is 'The Cask of Amontillado') Which of the following is the BEST evidence to show that the narrator is enjoying Fortunato's suffering?A.) Throwing the links about his waist, it was but the work of a few seconds to secure it. (paragraph 1)B.) "Pass your hand," I said, "over the wall; you cannot help feeling the nitre. Indeed it is VERY damp. " (paragraph 2)C.) The noise lasted for several minutes, during which, that I might listen to it with the more satisfaction, I ceased my labours and sat down upon the bones. (paragraph 4)D.) I again paused, and holding the flambeaux over the mason-work, threw a few feeble rays upon the figure within. (paragraph 4) What is the value of v? Jeremy can row 2/3 of a mile in 1/2 hour how long will it take him to row 1 mile? should polar bear tourism be encouraged or discouraged in churchill, Manitoba?Ill give brainly !