Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 45,\, 15,\, 5,\, ...

Answers

Answer 1

Answer:

The sequence is geometric.

Step-by-step explanation:

Arithmetic Sequence:

A arithmetic sequence is a sequence of numbers in which the next term is calculated by adding some constant amount to the current term. It can be seen almost as a linear equation, but "x" is always a whole number, that starts at zero and increases by one.

We can check if a sequence is arithmetic or not, by subtracting any term from the next term. This amount should be constant for all terms if a sequence is arithmetic. This constant amount can be seen as the slope, how much it's changing by each term.

Geometric Sequence:

A geometric sequence is a sequence of numbers in which the next term is calculated by multiply by some constant amount and the current term. It can be seen almost as a exponential equation, but "x" is always a whole number, that starts at zero and increases by one.

Using the definition above, it can also be thought of as the current term being equal to the previous term multiplied by a constant amount. This means if we divide any term in the sequence by the previous term, this should be a constant amount, no matter which term we use.

Solving the Problem:

Now that we know what the definitions of a geometric and arithmetic sequence as well as how to check if a sequence is either, we can now apply this knowledge to the problem. Let's start by checking if the sequence is arithmetic.

We can start by using the first term "45" and subtracting it from the second term "15", which gives us "-30". This means we had to "add" "-30" to get the second term. If this sequence is arithmetic, this means we could add this to the second term and get the third term. If we add "-30" to "15" we get "-15" which is not equal to the next term. So the amount that it's changing by is not constant, meaning this sequence is not arithmetic.

Now let's check if the sequence is geometric. Each term can be defined as the previous term multiplied by some constant amount. So if we divide any term by it's previous term we get this amount that it had to be multiplied by which should be constant. We cannot start with the first term, since there is no previous term before the first term. So let's start with the second term: "15", now let's divide it by the previous term, which is the first term: "45" [tex]\frac{15}{45} = \frac{1}{3}[/tex]. If this sequence is geometric, we can multiply the second term by this 1/3 and get the next term, which is the third term. If we multiply "15" (the second term) by "1/3" we get [tex]\frac{15}{3}[/tex] which is equal to "5", which is equal to the third term. So this sequence appears to be geometric.


Related Questions

Help Me Please I am Stuck

Answers

Step-by-step explanation:

there's the answer and if so please give me brainliest answer I need 4 more

Answer:

4/5 - 1/8 = 27/40

so C is 27/40

Step-by-step explanation:

A train travels at a speed of 65 miles per hour. How long did it take the train to travel 227.5 miles?

Answers

Answer:

3.5 hours

Step-by-step explanation:

227.5÷65=3.5

According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.

c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

the consequence is that it would be harder to accept a true h0 at a high level of significance

Can someone help me with these 4 problems A B C D zoom in if needed this is urgent

Answers

Answer:

A is 13

B is 5

C is 0.25

And D is 4.58 or 4.6

Good Luck!

Answer:

A) 0.2 + 7.9 + 3.8 + 1.1 = 13

B) -5.6 + 5 + 4.6 + 1 = 5

C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4

D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6

Step-by-step explanation:

A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13

B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5

C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4

D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6

I wrote my last question wrong. What's 4w^2 if the w = 3?

Answers

Answer:

144

Step-by-step explanation:

1. Rewrite question since you know the variable. Rewritten it would be 4×3^2

2. Do multiplication. 4 times 3 is 12

3. Square 12 which means 12 times 12

4. 12 times 12 is 144.

Hopefully it's right!

a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9​

Answers

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

I NEED HELP ASAP. BRANLIEST TO BEST AND FASTEST!!!!!
a softball team has a budget of 200$ for visors. An athletic director pays $90 for 12 sun visors for the softball team. is there enough money in the budget to buy 15 more sun visors?

Answers

Answer:

No

Step-by-step explanation:

So if the director paid $90 for 12 visors, we need to find how much one cost so 90/12 = 7.5

Then to find the cost of 15 visors, multiply 7.5 by 15 to get 112.5

now add 112.5 to 90 to see if it stays within the budget of $200, 112.5 + 90 = 202.5, so NO there is not enough money in the budget to buy 15 more sun visors.

Pls help me pls pls pls pls pls pls pls pls pls pls pls pls pls ρꪶ 卩ㄥ丂

1+1

Answers

Answer:

1+1=2

Step-by-step explanation:

if you have 1 apple and then your friend gave you another apple now you have 2 apples

*) Simplify the second expression
2(2m + 2) + m.
2(2m + 2) + m =
m +
?

Answers

Answer:

5m + 4

Step-by-step explanation:

First, use the distributive property to open the parentheses.

2(2m + 2) + m = _m + 4

4m + 4 + m = _m + 4

Simplifiy:

5m + 4

Hope this helps!

Answer:

5m+4

Step-by-step explanation:

open up the bracket

that will be 4m+4+m   (since 4m and m are alike we can add them together)

5m+4

if this helped please give me brainlest

cual es el número de una deuda de $80.000​

Answers

se paga 36,000

Step-by-step explanation:

espero te ayude

Subtract: (x^2+ 5x – 4) - (6x2 – 7)

Will give brainliest

Answers

Answer:

x^2+5x-9

Step-by-step explanation:

First multiply 6x2 because that's a number that isn't solved in the parenthesis.

(x^2+5x-4) - (12-7)

Then you subtract 12-7 which equals 5.

(x^2+5x-4)-(5)

You now take the parenthesis off

x^2+5x-4-5

-4-5 equals -9

Now you get the answer: x^2+5x-9

Answer:

-5x² + 5x + 3

Step-by-step explanation:

Fill in the blank to make the two fractions equivalent.
4/7 = ?/28

Answers

Answer:

16

Step-by-step explanation:

28/7 = 4

4 x 4 = 16

16/28 = 4/7

please answer this ​

Answers

Answer:idl

Step-by-step explanation:

rjrng

-3*-10-1 (*this means multiply)
+30-1
=29//
Answer=29
Hope this helps pal
Please mark me brainliest =)

find what y equals please (geometry) :)

Answers

Answer: y=31.97°

Explanation: We can use trig ratios to find y and they are SohCahToa.

We can use Sin y, because when y is the reference angle, the 9 cm side is the opposite and the 17cm is always the hypotenuse.

We must take the inverse of Sin (9/17) to get about 31.9657, which we can round to 31.97°.

el resultado de 20+(-60)-40-20es​

Answers

Answer:

140 by the number like I know this

Step-by-step explanation:

I did the test

Which is the equation of a line that has a slope of -7 and a y-intercept of 2?

Answers

Answer:

y = -7x + 2

Step-by-step explanation:

in the general equation y = ax + b, a is the slope and b is the y coordinate of the y intercept.

Answer:

y=-7x+2

Step-by-step explanation:

The equation is represented by y=mx+b where m is slope and b is the y-intercept.

- 3x + 5y = -2
2x - 2y = 1
Solve by elem inaction

Answers

Answer:

x=1/4 , y=-1/4. You can confirm this by substituting the numbers in.

Step-by-step explanation:

Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!

Be sure to show your answer and work using a coordinate plane.

Answers

Answer:

see the attached and refer to

https://brainly.com/question/21466495

find the image of (-4,2) obtained by translating 3 units up, followed by a reflexion over the x axis

Answers

Answer:

(-4,-5)

Step-by-step explanation:

1. Image is the points after the transformation

2. Pre-Image is the original points

3. our x value is left to right and our y value is up and down (x,y)

4. Our points are (-4,2)

5. They first want us to translate three units up, so we add to our y value (y is up and down)

6. 2+3 = 5

7. Our new points are (-4,5)

6. Now we are asked to reflect over the x axis. Remember their are a lot of rules concerning reflections. For a reflection across x-axis our equation is this : (x,y) → (x,-y)

7. (-4,5) → (-4,-5)

8. (-4,-5) is our answer

find the area of given figure​

Answers

Answer:

hope it helped have a good day mate

A photograph is in the shape of a rectangle. It has a Iength of (x + 2) inches and a width of (x -2) inches. What is the area of the photograph?

Answers

Answer:

The area of the photograph is:  [tex]A=x^2-4[/tex]      

Step-by-step explanation:

Given

The length of rectangular photograph = [tex]l[/tex] = (x + 2) inches

The width of rectangular photograph = [tex]w[/tex] = (x - 2) inches

To determine

The area of the photograph

Important Tip:

Given that the photograph is in the shape of a rectangle. Thus, we can use the formula involving the area of a rectangle to determine the area of a photograph.

The Area of the photograph can be determined using the formula

[tex]A = wl[/tex]

where

[tex]A[/tex] is the area[tex]l[/tex] is the length[tex]w[/tex] is the width

now substituting [tex]l = (x + 2)[/tex] and [tex]w = (x-2)[/tex] in the formula

[tex]A = wl[/tex]

[tex]A = (x-2) (x+2)[/tex]

Apply Difference of Two Squares Formula:  [tex]\left(a-b\right)\left(a+b\right)=a^2-b^2[/tex]

[tex]A=x^2-2^2[/tex]       ∵ [tex]a=x,\:b=2[/tex]

[tex]A=x^2-4[/tex]        ∵ [tex]2^2=4[/tex]

Therefore, the area of the photograph is:  [tex]A=x^2-4[/tex]      

Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)

Answers

Answer: (-4,-7)

Step-by-step explanation:

The Midpiont formale is in the picture and add -6 with -2 and add -8 with -6.

-6 + -2 = -8

-8+-6=-14

-8 divided 2 = -4

-14 divided 2 = -7

(-4,-7)

Hi!




The measure of an angle is 12°. What is the measure of its supplement?


Thank you!!

Answers

168 degrees
180-12=168

Step-by-step explanation:

12° + x° = 90°

x. = 90 - 12

x =78°

Tommie and Alethea plant a summer garden in their backyard. Alethea plants 3 rows of carrots for every 1 row of pepper plants. If Alethea plants 9 rows of carrots and Tommie plants twice that amount, who plants twice that amount, who plants more rows of pepper plants?

HELPPPP

Answers

Answer:

Tommie planted the most.

Tommie plants twice that amount, and Tommie plants more rows of pepper plants.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Alethea plants 3 rows of carrots for every 1 row of pepper plants.

And, Alethea plants 9 rows of carrots and Tommie plants twice that amount.

Here, Alethea plants 9 rows of carrots and Tommie plants twice that amount.

So, We get;

Tommie plants twice that amount, and Tommie plants more rows of pepper plants.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

y - x = 28
y + x + 156

Answers

Answer:

I think is −  

2

3(9y+52)

Step-by-step explanation:

Enter the unknown value that makes this statement true.
35 is % of 70

Answers

Answer:

Step-by-step explanation:

35 = x% of 70

35 = 1/2 of 70

x% = 50%

x = 50

you want branliest.more branliest giving out

Answers

Answer:

that is a cute dog

Step-by-step explanation:

1. very fluffy

2. small

3. sleeping

4. teddy bear dog :D

La entrada al zoológico cuesta 3.341 ¿cuánto cuesta la entrada para un grupo de 75 niños?

Answers

Answer:

250.575

Step-by-step explanation:

3.341 * 75 = 250.575

How do I solve x, y, z?​

Answers

Answer:

z=[tex]\sqrt{14^{2} -5^{2} }[/tex]

z=13.08

(5)[tex]\sqrt{171}[/tex]=14x

x=4.67

y=[tex]\sqrt{5^{2} -4.67^{2} }[/tex]

y=1.79

if it helps, please give me brainliest

Russ walks
7
10
mile to school.
How far has he walked when he has covered
5
8
of the distance to school?

Answers

Answer:

If he walks 7/10 miles to school, and you want to find 5/8 of that distance, you have to multiply the 2 fractions together. So he has walked 7/16 miles when he has covered 5/8 of the distance to school. thank me later

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