Sequences and series

Sequences And Series

Answers

Answer 1
Answer: D) Geometric; r = 4

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Explanation:

The sequence is not arithmetic because the distance between adjacent terms keeps increasing. For instance, the gap from 0.4 to 1.6 is 1.6-0.4 = 1.2, while the gap from 1.6 to 6.4 is 6.4-1.6 = 4.8. There is no common difference, so we can rule out choices A and B.

To check if we have a geometric sequence, divide each term by its previous term

(term2)/(term1) = (1.6)/(0.4) = 4

(term3)/(term2) = (6.4)/(1.6) = 4

(term4)/(term3) = (25.6)/(6.4) = 4

Each time we get 4 as a result, so this sequence is geometric and the common ratio is r = 4.

Put another way: each new term is found by multiplying the previous term by 4.

0.4*4 = 1.6

1.6*4 = 6.4

6.4*4 = 25.6

This all leads to D being the answer.

Side note: the nth term of this geometric sequence is [tex]a_n = 0.4*(4)^{n-1}[/tex] where n is a positive integer and starts at n = 1.


Related Questions

Evaluate (-7)2.


p l e a s e
a n s w e r
q u i c k\

Answers

Answer:

(-7)2 = -14

Step-by-step explanation:

The parenthesis basically mean "multiply". So, this is a simple equation meaning -7 x 2. And remember, anytime we multiply a positive by a negative, you get a negative. So, simply multiply 7 x 2 = 14 and add a negative sign to make the solution true. So, -7 x 2 or (-7)2 = -14

Hope this helps! If you have any additional questions, please don't hesitate to ask me or your teacher to be sure you master the subject. Also thank you for the generous points!! Stay safe and please mark brainliest!!

Answer:

-14

Step-by-step explanation:

just act as if -7 were positive then you know 7x2 = 14 cause' "()" means multiplication.

last, since 7 was negative in the first place then you turn your product back to a negative and you get -14

mark brainliest :)

Can someone help pls?

Answers

Answer:

Step-by-step explanation:

Let the original width be x

Then the original length = x + 11

Area = x * (x + 11)

If you decrease each side by 7 you get

Area 1 = (x - 7)(x + 4)

So area - area1 =

x (x + 11) -98 = (x - 7)(x + 4)                  Remove the brackets

x^2 + 11x - 98 = x^2 - 7x + 4x - 28      Combine the like terms

x^2 + 11x - 98 = x^2 - 3x - 28              Add 98 to both sides

x^2 + 11x = x^2 - 3x + 70                     Cancel the x^2

11x = -3x + 70                                       Add 3x to both sides

14x = 70                                               Divide by 14

x = 70 / 14

x = 5

=====================

Original conditions

Answer width = 5

Length = 16

If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.

A shoe store uses a 40​% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of ​$71​?

Answers

Answer:

99.40

Step-by-step explanation:

$71 * .4 = $28.40

$71 + $28.40 = 99.40

Answer:

The selling price would be $99.40

The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?

Answers

Answer:

yes

Step-by-step explanation:

yes

Which statement correctly describes the expression (–12)7

Answers

Answer:

answer #n

Step-by-step explanation:

we cant see the options

Answer:

One factor is positive and one factor is negative, so the product will be negative.

Step-by-step explanation:

A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, there are 3 pigs. The ratio of chocolate chips to raisins in a cookie could be 5 to 9. For every 5 chocolate chips in the cookie, there are 9 raisins. Do you notice a repeating phrase in these examples? “For every” is key ratio language. It tells you how much of one quantity exists in comparison to the other quantity. A ratio consists of just the numbers, not the units. If someone asked the ratio of chocolate chips to raisins in the cookie example, you’d say 5 to 9.

Answers

Answer:

How many diet sodas there are in the fridge compared to how many regular sodas?

Step-by-step explanation:

A ratio is a comparison of two quantities. You could represent how many diet sodas there compared to how many regular sodas as a ratio.

I think you were trying to ask about the Flocabulary question, right?

I had it too and got it correct.

a sheet of glass has a density of 2.5 g/cm3

what is the density of the glass in? kg/m3


PLEASE HELP!!!!!!!!

Answers

Iejzuxixianwkcodoajsbyxuciwiwnf

What is the product of (3a + 2)(4a2 – 2a + 9)? 12a3 − 2a + 18 12a3 + 6a + 9 12a3 − 6a2 + 23a + 18 12a3 + 2a2 + 23a + 18

Answers

Answer:

12a3 + 2a2 + 23a + 18

Step-by-step explanation:

Vertical multiplication works well when you have a binomial times a trinomial.

Multiply 2 times the trinomial and get 8a2 - 4a + 18 then multiply 3a times the trinomial to get 12a3. -6a2 + 27a

Then combine like terms.

The product of the givens expressions is 12a³ + 2a² + 23a + 18.

Product of the given expressions

The product of the givens expressions is obtained by multiplying all the variables in the bracket as shown below.

(3a + 2)(4a² – 2a + 9) = 3a(4a² – 2a + 9) + 2(4a² – 2a + 9)

= 12a³ - 6a² + 27a + 8a² - 4a + 18

simplify by collecting similar terms together

= 12a³ + 2a² + 23a + 18

Thus, the product of the givens expressions is 12a³ + 2a² + 23a + 18.

Learn more about product of expressions here: https://brainly.com/question/1852123

What is the length of segment JK

A. 6
B. 8
C. 9
D. 10

Answers

JK is equal to 9, so c
You have to set up a proportion, i’m going to use LM and DC
i’m going from the biggest quad to smallest quad, while setting up a proportion. 20/15=12/x
cross multiply, getting 20x=180
then divide both sides by 20, getting 9!

This is pre calculas summation please help lol

Answers

Answer: 1  - 2 + 4 - 8 + 16

Step-by-step explanation:

Answer:

-1-2-4-8-16

Step-by-step explanation:

(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)

-1-2-4-8-16

-31

The usual price of a sweatshirt is $18, what is its sale price?
The sale price of every item in a store is 85% of its usual price.

Answers

The sale price is 15.3

Simplify the expression. Give your answer using only positive exponents. Please look at the screenshot!

Answers

Answer:

2\((x^5)(3))

Step-by-step explanation:

The perimeter of a triangle is 65 meters. The second side is 5 meters less than the first side.The third side is 7 meters more than the first side. What is the length of each side?

Answers

Answer:

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

Step-by-step explanation:

Perimeter of triangle = 65 meters

Let

First side of triangle = x

Second side of triangle = x-5 (The second side is 5 meters less than the first side.)

Third side of triangle = x+7  (The third side is 7 meters more than the first side.)

We need to find length of each side.

The formula used is:

[tex]\mathbf{Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle}[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:triangle=Sum\:of\:all\:sides\:of\:triangle\\65=x+x-5+x+7\\65=3x+2\\Switching\:sides\\3x+2=65\\Subtracting\:2\:from\:both\:sides\\3x+2-2=65-2\\3x=65-2\\3x=63\\Divide\:both\:sides\:by\:x\\\frac{3x}{3}=\frac{63}{3}\\x=21[/tex]

So, We get value of x = 21

Now, finding the length of each side of triangle:

First side of triangle = x = 21

Second side of triangle = x-5 =21-5 =16

Third side of triangle = x+7 = 21+ 7 = 28

The length of each side of triangle is:

First side of triangle = 21 inches

Second side of triangle = 16 inches

Third side of triangle = 28 inches

I WILL GIVE BRAINLISTJUST PLESE HELP ME!!!!!!!

Answers

#1 False #2 True #3 False #4 True #5 True

what is an equation of the line that passes through the points (-2,1) and (-8,4)​

Answers

Answer:

y = -1/2 x

Step-by-step explanation:

slope = Δy / Δx

= 4 - 1 / -8 - (-2)

= 3 / -6

m = - 1/2

y = mx + b

1 = (-1/2)(-2) + b

1 = 1 + b

b = 0

eqn of the line : y = -1/2 x

find the decimal number exactly halfway between 1.01 and 1.02​

Answers

Answer:

1.015

Step-by-step explanation:

Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.

Answer:

0.01

Step-by-step explanation:

because if u subtract 1.01 from 1.02 it will give you the answer

Calculate the area of the rectangle.

Answers

Answer:

12

Step-by-step explanation:

You count all of the blue squares

12. Just count all of the blue squares.

ANSWER ASAPPP
I WILL MARK BRAINLIET
EXPALIN HOW YOU GOT WHAT U GOT PLSSS

Answers

Answer:

The change should Sara receive from the $10 bill is $3.56.

Step-by-step explanation:

Given:

The table shows the prices of some breakfast items at a restaurant.

Item                                      Price

One egg                               $1.69

Slice of bacon                      $1.49

Glass of orange juice           $1.09

Sara ordered 2 eggs, a slice of bacon, and  a glass of orange juice for breakfast.

The sales tax for the order was $0.48.

She paid for her breakfast with a  $10 bill.

Now, to find the change should Sara receive from the $10 bill.

Bill for the Sara's breakfast:

2 eggs =  2 x 1.69 = 3.38

A slice of bacon = $1.49.

A glass of orange = $1.09.

The sales tax = $0.48.

Total bill =  3.38 + 1.49 + 1.09 + 0.48 = 6.44

Sara paid for the breakfast bill = $10.

Now, to get the change Sara should receive we subtract the amount of bill from the money Sara paid for the bill:

sara paid for the breakfast bill - total bill

=10 - 6.44

=3.56

Therefore, the change should Sara receive from the $10 bill is $3.56.

hope it helps!

Given the side lengths, determine whether the triangle is acute,right, obtuse, or not a triangle

Answers

Answer:

acute angle

Step-by-step explanation:

just took the test

What is 2792 + 9383790202

Answers

Answer:

9383792994

Step-by-step explanation:

I the answer is 9383792994

938,381,812 around there I did this with my head and I’m not sure if it’s correct but I hope it is

HELP, I am not good at triangles at all

Answers

A, C, D, E, I i think are the answers because for all of the congruent sides there is an angle in the middle. Please please please correct me if Im wrong
C, D, E, and I. I’m in geometry as well

Find the measure of the unknown angle.

Answers

Answer:

131° Degrees

Step-by-step explanation:

It's the same just put in different places

Answer:

The answer is in the screenshot provided.

Step-by-step explanation:

look everyone, im sorry if i get questions incorrect i really love math, go on call me a nerd. yes i am one. im also the kid thats quiet in class and also has anxiety so if someone gets upset at me for doing something wrong just know im very srry and im trying to help the best i can with these. aome of these i try and havent even learned yet and i learn things from the answers and i know how to do it after. again im incredibly sorry for the incorrect answers especially in mathmatics IM IN ALGEBRA lol :D have a good day and good night also who perfers school than online distance learning i learn a whole lot more in school than online? anyone else?

Answers

Answer:

heyyy its alright we all make mistakes , the most important thing is that you tried, and learned so you can help others and yourself in the future :D all efforts are appreciated  

Step-by-step explanation:

i'm introverted so online school is epic for me

Answer:

Well I usually do bad in school

Step-by-step explanation:

Find the smallest solution, and describe the steps you used...[tex]-5ex^{-4x+2}+3=\frac{1}{2}log(x^2+1)[/tex] IM GIVING 50 POINTS!!!

Answers

Answer:

You said that you're giving "50" points, but you're actually giving "25" points.

What is 1/3 + 4/9 and how to solve

Answers

Make them same denominator
1/3 * 3/3 = 3/9
Now add them
3/9 + 4/9 = 7/9

Answer:

7/9

Step-by-step explanation:

To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.

1. Find the percent of the given quantity using any method: 40% of 320

Answers

Answer:

128

Step-by-step explanation

Turn 40% into a decimal by placing a decimal point 2 places to the left making it 0.40. Then, calculate using 320 multiplied by 0.40 which is 128.

Answer:

the answer is 128.

40% of 320 = 128 :)

what is the sum of three consecutive even numbers is 30?

Answers

8, 10, 12

A helpful equation:
x+x+1+x+2 = 30

Combine like terms
3x + 3 = 30

Subtract 3 from each side
3x = 27

Divide each side by to isolate x
x = 9

x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.

The first number is 8. The best two even numbers after 8 are 10 and 12.

8 + 10 + 12 = 30, thus this is the sequence.

Answer:

here:

you can make an equation

x + ( x + 2) + (x + 4) = 30

then by combining like items you get

3x + 6 = 30

then solve

3x = 30 - 6 ; then 3x = 24 , and x = 8

so the three numbers are 8 ; 10 and 12.

2x + 3y = -10
5y = 4x - 2

Answers

Answer:

(-2, -2)

Step-by-step explanation:

Answer:

(-2,-2)

Step-by-step explanation:

M a t h w a y

Can you please help me solve this I need it before 12/21/20 please help

Answers

Answer:

I only know that the first box is and it is counting by twos

Step-by-step explanation:

because 5+2 =7 then 6+4=10 then 7+6=13 then 8+8=16 and lastly 9+10=19


Help me !! Which one is it ?

Answers

Answer:

c

Step-by-step explanation:

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