decide whether the sequence is artithemetic, geometric or neither 2,6,10,16

Answers

Answer 1

Answer:

We conclude that the sequence is NEITHER geometrc nor arithmetic.

Step-by-step explanation:

Given the sequence

[tex]2,6,10,16,...[/tex]

As we know that

An arithmetic sequence has a constant difference d and is defined by:

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Computing the differences between all adjacent terms:

[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:16-10=6[/tex]

The difference is not constant

Hence, the sequence is NOT arithmetic.

NOW, let's check whether is a geometric sequence or not

A geometric sequece has a constant common ration r and is defined by:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

Computing the common ratios between all adjacent terms:

[tex]\frac{6}{2}=3,\:\quad \frac{10}{6}=1.66666\dots ,\:\quad \frac{16}{10}=1.6[/tex]

The ratio is not constant

Hence, the sequence is NOT geometric.

Therefore, we conclude that the sequence is NEITHER geometrc nor arithmetic.


Related Questions

PLS PLS HELPPPPP ASAP

Answers

Answer:

Wht u need help on?

Step-by-step explanation:

what do you need help with tho?

What is the solution of the system? Use elimination.
2x + 2y +z = 7
-X – y +z = -5
x + 3y – 4z = 12

Answers

Answer:

The solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]2x\:+\:2y\:+z\:=\:7[/tex]

[tex]-x-\:y\:+z\:=\:-5[/tex]

[tex]x+3y-4z=12[/tex]

solving the system of the equations by the elimination method

[tex]\begin{bmatrix}2x+2y+z=7\\ -x-y+z=-5\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}-x-y+z=-5\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y+2z=-10[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ -2x-2y+2z=-10\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]-2x-2y+2z=-10[/tex]

[tex]+[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]3z=-3[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ x+3y-4z=12\end{bmatrix}[/tex]

[tex]2x+6y-8z=24[/tex]

[tex]-[/tex]

[tex]\underline{2x+2y+z=7}[/tex]

[tex]4y-9z=17[/tex]

[tex]\begin{bmatrix}2x+2y+z=7\\ 3z=-3\\ 4y-9z=17\end{bmatrix}[/tex]

Rearranging the equations

[tex]\begin{bmatrix}2x+2y+z=7\\ 4y-9z=17\\ 3z=-3\end{bmatrix}[/tex]

solve [tex]3z=-3[/tex] for z:

[tex]z=-1[/tex]

[tex]\mathrm{For\:}4y-9z=17\mathrm{\:plug\:in\:}z=-1[/tex]

solve  [tex]4y-9\left(-1\right)=17[/tex] for y:

[tex]4y-9\left(-1\right)=17[/tex]

[tex]4y+9=17[/tex]

[tex]4y=8[/tex]

[tex]y=2[/tex]

[tex]\mathrm{For\:}2x+2y+z=7\mathrm{\:plug\:in\:}z=-1,\:y=2[/tex]

solve [tex]2x+2\cdot \:2-1=7[/tex] for x:

[tex]2x+2\cdot \:2-1=7[/tex]

[tex]2x+3=7[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

Therefore, the solutions to the system of the equations by the elimination method will be:

[tex]x=2,\:z=-1,\:y=2[/tex]

A printer takes 2 and a half seconds to print a flyer.It took 75 secons to print a batch of flyers with out stopeding. How many flayers are in a batch

Answers

Answer:

30 flyers

Step-by-step explanation:

A printer prints:

1 flyer = 2 1/2 seconds = 2.5 seconds

1 batch of flyers = 75 seconds

The number of flyers in a batch is:

2.5 seconds = 1 flyer

75 seconds = x

Cross Multiply

2.5 × x = 75 × 1

x = 75/2.5

x = 30 flyers.

Therefore, the number of flyers in a batch is 30 flyers

1
Prove that
1: sin/1-cot + cos/1-tan=cos+sin​

Answers

Answer:

have:

[tex]\frac{sin}{1-cot}+\frac{cos}{1-tan}\\\\=\frac{sin}{1-\frac{cos}{sin} }+\frac{cos}{1-\frac{sin}{cos} }\\\\=\frac{sin^{2} }{sin-cos}+\frac{cos^{2} }{cos-sin} \\\\=\frac{sin^{2} }{sin-cos}-\frac{cos^{2} }{cos-sin}\\\\=\frac{sin^{2}-cos^{2} }{sin - cos}\\\\=\frac{(sin-cos)(sin+cos)}{sin-cos}\\\\=sin+cos[/tex]

Step-by-step explanation:

Write the polynomial in standard form. State the degree and leading coefficient:

−9 + 7m^3 − 11m + 3/5m^5

Degree:_____________
Leading Coefficient:_____________

Answers

Answers:

Standard form = [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]Degree = 5Leading coefficient = 3/5

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

Explanation:

The largest exponent term is what will go first. Then the term with the second largest goes next, and so on. We count the exponents down. The exponents will count down in this case as 5, 3, 1, 0

Note: -9 = -9*1 = -9m^0 and -11m = -11m^1

So that's why standard form is [tex]\frac{3}{5}m^5 + 7m^3 - 11m-9[/tex]

We can write this as (3/5)m^5 + 7m^3 - 11m - 9

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

The leading term is the first term after getting everything in standard form. The coefficient of the leading term is the leading coefficient. So in this case, it would be 3/5.

The degree is the largest exponent. So the degree is 5. This is a quintic polynomial.

1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?


2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?

3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each piece

Answers

Answer: See explanation

Step-by-step explanation:

1. Jun needs to review for the entrance exam with his remaining 5 3/5 hours fo the 7 subjects. how long will he spend for each subject?

The time spent on each subject will be the remaining hours left divided by 7. This will be:

= 5 3/5 ÷ 7

= 28/5 ÷ 7

= 28/5 × 1/7

= 28/35 = 4/5 hours

Since 60 minutes make one hour

4/5 hours = 4/5 × 60 = 48 minutes

2.Mar purchased 6 3/4 meters of wall paper for the boxes he will cover. if each box needs 2 1/4 meters, how many boxes will get covered?

This will be:

= 6 3/4 ÷ 2 1/4

= 27/4 ÷ 9/4

= 27/4 × 4/9

= 3 boxes

3.Joana has 12 1/4 meters of ribbon, joy has 3meters ribbon shorter than joana. they split the ribbon to have the an equal length of ribbon. how long is each.

Joana ribbon = 12 1/4 meters

Joy's ribbon = 12 1/4 - 3 = 9 1/4 meters

We then add both length of ribbons and divide by 2. This will be:

= 12 1/4 + 9 1/4

= 21 1/2 meters

= 21 1/2 meters ÷ 2

= 43/2 ÷ 2

= 43/2 × 1/2

= 43/4

= 10 3/4 meters

Rita sprinted 77 feet in 10 seconds. How many miles per hour is this?

Answers

Answer:

5.25 miles per hour

Answer:

5.25 mph

Step-by-step explanation:

PLS help ASAP ILL give brainlyest

Answers

Select both C and D

Answer:

Ooh this is hard bye b-sh

Step-by-step explanation:

Which equation represents a line which is parallel to the line 3x +y = 1?

Answers

Answer:

An equation with a slope of -3

Step-by-step explanation:

Parallel lines have their slopes equal

This means the line you should pick should have a slope of -3

In this case;

3x + y = 1 ----write it in slope-intercept form as;

y = -3x + 1 ------m , slope = -3

The equation to pick should have a slope of -3

Dan Miller has been granted $120,000 mortgage loan. When signing the papers to purchase his new home, he will need to pay closing costs, what's are the total costs?

Answers

Answer:1222

Step-by-step explanation:

this is why this the answer

[tex]776{x} 34344[/tex]

Hi. I need help with these questions.
See image for question.

Answers

Answer:

Step-by-step explanation:

Plug in the stated values for x

(a) 2(1)^4 + 3(1)^3 - (1)^3 + 2(1) - 3

   2 + 3  - 1 + 2 - 3 = 1 + 2 = 3

  f(1) = 3

(b) 2(-1)^4 + 3(-1)^3 - (-1)^2 + 2(-1) - 3

2 * 1 + 3(-1) - 1 + 2(-1) - 3

2 + -3 -1 -2 - 3 = 2 - 9 = -7

f(-1) = -7

(c) 2(0) + 3(0) - 0 + 0 - 3

0 - 3 = -3

f(0) = -3

d) 2(-1/2)^4 + 3(-1/2)^3 - 2(-1/2) - 3

1/8 - 3/8 - (-1/2)^2 - 2 * 1/2 - 3

16/4 - 1/4 - 1/4 = -16-1-1/4 = -18/4

f(-1/2) = -9/2

a new theater is being built for the city ballet. the balcony has 100 seats. The floor has 20 rows with x seats in each row. the number of people in the theater must be under 400 to meet fire safety regulations. what is the solution of this inequalit,y, and what is its meaning?

The answers are in the picture​

Answers

Answer:

A

Step-by-step explanation:

ahhhhhhhhh come on I'm so stupid

Answers

Answer:

1. -32

2. -46

Step-by-step explanation:

1. When muliplying a number with a postive number and a negative number the answer will be a negative number

2. When you have a negative number and when  you have a postive number and you are subtracting your answer has to be a negative answer

Answer:

cvgbnm,m

Step-by-step explanation:

bxxcvn vn

To prepare for wrestling season, Tommy wants to eat 24 grams of protein at breakfast. He knows that there are 3 grams of protein in a slice of bacon and 6 grams of protein in an egg. Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat.



Write an equation that relates the number of slices of bacon to the number of eggs he will eat, assuming he eats exactly 24 grams of protein. **Rewrite your equation in slope-intercept form.

Answers

Answer:

1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;

3·x + 6·y = 24

2) The equation in slope and intercept form is;

y = 4 - 0.5·x

Step-by-step explanation:

1) The given parameters are;

The amount of protein Tommy wants to eat for breakfast = 24 grams

The quantity of protein in a slice of bacon = 3 grams

The quantity of protein in an egg = 6 grams

Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat

The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;

3·x + 6·y = 24

2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;

3·x + 6·y = 24

6·y = 24 - 3·x

y = 24/6 -1/2·x

y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c

Where;

m = The slope = -0.5

c = The y-intercept = 4

FOR 10 POINTS
Find the distance between A and B

Answers

Answer:

3cm i think

Step-by-step explanation:

The yes algebra one or two please mark me brain-list please

graph the line y=1/2x+3

Answers

Answer:

to find the line you must find x and y

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right][/tex]

graph the line using slope and y intercept

slop:1/2

y-intercept:3

find the values of mx and b

[tex]m=\frac{1}{2}\\b=3[/tex]

find x intercept

[tex]0=\frac{x}{2}+3[/tex]

re wright the equasion

[tex]\frac{x}{2}+3=0[/tex]

subtract 3

[tex]\frac{x}{2} +3-3=0-3[/tex]

[tex]\frac{x}{2}=-3[/tex]

multiply by 2

[tex]*2\frac{x}{2}=-3*2[/tex]

x intercept = -6

now find y intercept

[tex]y=\frac{0}{2}+3[/tex]

divide by 2

[tex]y=0+3[/tex]

add 0 and 3

y=3

create a table of x and y [tex]\left[\begin{array}{ccc}x&-6&0\\y&0&3\end{array}\right][/tex]

graph the line using y-intercept and slope

so your answer is (-6,3)

Triangle GHJ with vertices G(-1, 3), H(4, -12), and J(3, -1) is dilated by a factor of 1/3 centered at the origin. What are the coordinates of G' after the dilation?

Answers

Answer:

The coordinates of Good after dilation will be (-1/3,1)

Step-by-step explanation:

Here, we want to get the coordinates of the point G after dilation

Mathematically, that would be having 1/3 multiply the coordinates of G

G’ = 1/3 (-1,3)

G’ = (-1/3 , 1)

What work am I supposed to do I have to do the work or I will get it wrong !

Answers

the work that’s assigned

help find the missing side length???

Answers

Answer:

you look at the numbers and add the other numbers.

Step-by-step explanation:

What is the value of the expression below?
36÷103

Answers

Answer:

0.3495.

Step-by-step explanation:

............................

How would you solve |10+4x|<14
And how would you graph it on a number line?

Answers

Answer:

x < 1

Step by step explanation:

10 + 4x < 14

4x < 14 -10

4x < 4

x < 1

When you graph it on a number line, draw a line that extends from 1 towards the left side (since x is less that 1) and use unshaded circles.

Also need help on this one thx u guys and girls who are helping meeeeee!!!!!! :)

Answers

Answer:

B

Step-by-step explanation:

big line= divide

[tex]-2 1/4 to improper = -9/4\\/ -2/3[/tex]

so -9/4 / -2/3 or

B

Hope this helps :D

Answer:

B!

Step-by-step explanation:

if you calculate the original expression given you get [tex]3\frac{3}{8}[/tex] so i just went down the line calculating the rest of the equations and B was the one equivalent to the original expression! hope this helped.

Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit? Select three options

Answers

Answer:

where are the options

Step-by-step explanation:

Answer:

it cost $8, it was a swimsuit and he bought it

Step-by-step explanation:

What is the value of x?
60"
95
A. 250
B. 350
C. 60°
D. 1550
PREVIOUS

Answers

Answer:

it's B ==35

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A because u know its not 60 bc its already there and 35 would be to big also it cant be 155 bc that is way to big for that angle

f. How many times greater is the area of triangle DEF
than the area of triangle ABC? Show/explain.

Answers

Answer:

Area of ΔDEF is 2.25 times the area of ΔABC.

Step-by-step explanation:

Since, ΔDEF is the enlarged form of ΔABC,

Scale factor = [tex]\frac{\text{Side length of triangle ABC}}{\text{Corresponding side length of image triangle}}[/tex]

                    = [tex]\frac{15}{10}[/tex]

                    = 1.5

Since, ratio of the areas of image and preimage triangles = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}[/tex] = (Scale factor)²

[tex]\frac{\text{Area of image triangle}}{\text{Area of triangle ABC}}=(1.5)^2[/tex]

Area of image ΔDEF = 2.25(Area of ΔABC)

Therefore, area of ΔDEF is 2.25 times the area of ΔABC.

Holler sold 150 frozen yogurts. Out of these frozen yogurts sold, 40% included toppings. How many frozen yogurts included toppings?

Answers

60. 40 percent of 150 yogurts comes to a sum of 60

The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?

Answers

Answer:

-14

Step-by-step explanation:

(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14

n = -14

(x^3)(x^−17) =

x^(3 - 17) =

x^-14

(a)
126 = 2 x 32 xk
Find the value of k.

Answers

Answer:

k=1.96875

Step-by-step explanation:

126=2x32xk

126=64xk

126/64=k

1.96875=k

choose the best answer:
the area of a right triangle is 12in^2. the ratio of the length of its legs is 2:3. Find the length of the hypotenuse.
a) square root is 13 in
b) 26 inches
c) 2 square root of 13
d) 52 inches
e) 4 square root of 13

Answers

Answer:

The length of the hypotenuse is 2 square root of 13 ⇒ c

Step-by-step explanation:

The rule of the area of the right triangle is A = [tex]\frac{1}{2}[/tex] × leg1 × leg2, where

leg1 and leg2 are the sides of the right angle

∵ The area of a right triangle is 12 in²

∵ The ratio of the length of its legs is 2: 3

→ Let leg1 = 2x and leg2 = 3x

leg1 = 2x and leg2 = 3x

→ Substitute them in the rule of the area above

12 = [tex]\frac{1}{2}[/tex] × 2x × 3x

∵ 2x × 3x = 6x²

∴ 12 =  [tex]\frac{1}{2}[/tex] × 6x²

∴ 12 = 3x²

→ Divide both sides by 3 to find x²

∴ 4 = x²

→ Take √ for both sides

x = 2

→ Substitute x in the expressions of leg1 and leg2 to find them

leg1 = 2(2) = 4 inches

leg2 = 3(2) = 6 inches

∵ hypotenuse = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]

∴ hypotenuse = [tex]\sqrt{(4)^{2}+(6)^{2}}=\sqrt{16+36}=\sqrt{52}[/tex]

∵ The simplest form of [tex]\sqrt{52}[/tex] = 2[tex]\sqrt{13}[/tex]

The length of the hypotenuse = 2[tex]\sqrt{13}[/tex] inches

i need help with these ​

Answers

Answer:

7+4=11

Step-by-step explanation:

12/3 equalls 4 because the 12÷3=4.

Other Questions
An open-ended question requires more than a one or two-word answer.A. TrueB. False Which BEST completes the diagram for Roman numerals I and II? say hi and i will mark brainllyist or whatever i need alisonrdia....................... north korea has developed a very weak economy by As Sally was shopping for a turkey tree for Thanksgiving, she looked at 48 trees. Of those, she found that 7/8 of them were too small. How many of the trees were too small? mi father says i am the mango tree.Georgia is the magnolia tree . i must wait . the mango and magnolia Will grow together why does carmita's father compare her to the mango tree? 2. What do you think is the hardest part of the presidents role as commander in chief? Why? How do you think an attacking army of such horsemen would affect their enemies? Why did the sharecropping system hurt African American farmers? Check all that apply.A)They rarely were able to turn a profit on crops they grew.B)It led to the reestablishment of slavery throughout the SouthC)It meant unfair agreements, which led to debt that was hard to repay.D)Their income was unpredictable because crops often failedE)They had to pay higher taxes on the land they owned than whites. Eli's Diner sold 50 milkshakes last week. 60% of the milkshakes had whipped cream on top. How many milkshakes with whipped cream were sold? Sixth grade Y.14 Factor using thFactor 10y + 20z. Of the following, which is the solution to 2x2 + 3x = 5? which of the following is true of high clouds?a. they are the result of sublimation. b. they are composed mostly of icy water. c. they generally produce lightning. d. they cause precipitation Is (10,8) a solution of y =1/2x+3 If a company makes five dolls and only four sell, there is a A. Surplus of dollsB. Shortage of dollsC. Increase in dollsD. decrease in dolls PLEASE HELP!!You need to factor by grouping.Please explain the steps! Which of the following themes is best shown by this passage from My Antonia? I thought the attitude of the town people toward these girls very stupid. If I told my schoolmates that Lena Lingards grandfather was a clergyman, and much respected in Norway, they looked at me blankly. What did it matter? All foreigners were ignorant people who couldnt speak English. There was not a man in Black Hawk who had the intelligence or cultivation, much less the personal distinction, of Antonias father. Yet people saw no difference between her and the three Marys; they were all Bohemians, all hired girls. People who live in towns are stupid. All immigrants who work as servants are the same. People who dont speak English are ignorant. The dignity and capability of immigrants is often unrecognized. which ones are arithmetic or geometric ? 60% of the Canadian population lives in the provinces of Quebec and __________.A.AlbertaB.OntarioC.ManitobaD.Saskatchewan