A sequence starts with 7. The common difference is D. Write expressions for the next three terms in the sequence.
A sequence starts with 2. The common ratio is R. Write expressions for the next three terms in the sequence.
Answers
You're on your own.. O-O
Answer:
For the sequence that starts with 7 and has a common difference of D, the expression for the nth term of the sequence is:
a_n = 7 + (n-1)D
To find the next three terms in the sequence, we need to evaluate the expression for n = 2, n = 3, and n = 4.
So, the next three terms in the sequence are:
a_2 = 7 + (2-1)D = 7 + D
a_3 = 7 + (3-1)D = 7 + 2D
a_4 = 7 + (4-1)D = 7 + 3D
For the sequence that starts with 2 and has a common ratio of R, the expression for the nth term of the sequence is:
a_n = 2 x R^(n-1)
To find the next three terms in the sequence, we need to evaluate the expression for n = 2, n = 3, and n = 4.
So, the next three terms in the sequence are:
a_2 = 2 x R^(2-1) = 2R
a_3 = 2 x R^(3-1) = 2R^2
a_4 = 2 x R^(4-1) = 2R^3
Therefore, the expressions for the next three terms in the sequence starting with 7 and having a common difference of D are 7+D, 7+2D, and 7+3D.
And the expressions for the next three terms in the sequence starting with 2 and having a common ratio of R are 2R, 2R^2, and 2R^3.
Step-by-step explanation:
Related Questions
Baristas at Hot Cocoa Coffee Shop tested their new hot chocolate machine. The following table shows the number of seconds the machine was turned on and the amount of hot chocolate that filled up the cup.
PLEASE HELP ASAP!! WILL MARK BRAINLIEST!! Time (seconds) 4 8 12 16 20 24
Hot Chocolate Amount (fluid ounces) 5 7.5 9 11 13 16
Which representation is most appropriate for displaying and describing what is happening to the amount of hot chocolate over time?
Answers
Answer: Option D is the correct answer.
Step-by-step explanation:
I took the practice exam and got it right.
Answer:
Option D is the correct answer.
Step-by-step explanation:
The Venn diagram shows the memberships for the Spanish Club and the Math Club.
Use the diagram to answer the questions below.
Answers
Answer:
A. 6 B. 2 C. 1
Step-by-step explanation:
For A, we can count how many people are on the left said and in the middle, since David is in both clubs. For B, we can only count the right side because it says "...are in the math club BUT NOT IN THE SPANISH CLUB." For C, We can only count the middle, which is only David.
Answer:
A)6 B)2 C)1
Step-by-step explanation:
For A: There are 6 students because 5 are originally in the Spanish club, while 1 is in both clubs. This still means David is in the Spanish club so there are 6 students.
For B: There are 2 students because the condition is that, only students in the Math club are counted. In this scenario, David doesn't count because he is part of both clubs. So only Isabel and Carmen count, which means there are only 2 people.
For C: There is 1 student because the condition is that, only the students in both clubs count. The place where the two circles overlap will hold the student who is in both clubs. In that area, there is only David, making it so there is one 1 student.
Simplify the expression ⎯(+⎯)
Answers
pls help me i need help as soon as possible
Answers
Answer:
5.5 gallons
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
84% of the tickets sold at an amusement park were discount tickets. If the park sold 3,000 tickets in all, how many discount tickets did it sell?
Answers
jamaleters
thank you for this
Answer:
The park sold 2,520 discount tickets
Step-by-step explanation:
84% of 3,000 is actually 0.84 x 3,000
0.84 x 3000= 2,520
Sample Answer: Make a table with inputs showing the number of bottles of water and outputs showing the total cost of the water. Use 1, 2, 3, and 4 bottles for the inputs. Find the corresponding outputs. Plot the ordered pairs in the table of the form (input,output).
Which instructions did you include in your explanation? Check all that apply.
Identify the input.
Identify the output.
Create a table for four input values.
Plot the points from the table.
Answers
The instructions that you would include in your explanation are:
Identify the output.
Create a table for four input values.
Plot the points from the table.
The instructions to be includedIn the given question, a series of instructions are provided. To properly explain your process, you have to explain how you got the output. There is no need of explaining the input as they are already provided.
Next, you will Show how you created the table and why you created it in that way. Finally, indicate how the points were plotted on the table. An explanation such as this will help anyone to follow through.
Learn more about ordered pairs here:
https://brainly.com/question/1528681
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Answer:1 to 2
2 to 4
Step-by-step explanation:
Suppose y varies directly with x, and y = 21 when x = 3. Find x when y = 42.
Answers
Explication: 42/7 is 6. I got seven because 21/3 is 7. I then
2 + 2 + 3 - 4 * 5 + 2 + 3 - 5 + 2
Answers
Answer:
17
Step-by-step explanation:
( Trigonometry question)
- will give branliest if it's the correct answer.-
Answers
Answer:
728.0067825
Step-by-step explanation:
Answer:
728 rounded
Step-by-step explanation:
i dnt know how I came up with the answer
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Answers
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
(-5)(4.2) = -21
(-7)(-3) = 21
(4)(5) = 20
(2.5)(-9) = -22.5
So, the pairs of numbers and their products are as follows:
(-5)(4.2) = -21 matches with -21.
(-7)(-3) = 21 matches with 21.
(4)(5) = 20 matches with 20.
(2.5)(-9) = -22.5 matches with -22.5.
I hope this helps!
A manager of a store records the number of customers, in thousands, the store has had each year since 2010. Which scatter plot has the best linear model to represent the manager's data?
Answers
I will give brainlisted for the correct answer and also 20 points!
Please hurry it’s due today!!!
Answers
Answer:
Hey I think you should chck out wicapida
Step-by-step explanation:
Wat is the product of 8/9 and 2/7
Answers
Answer:
16/63
Step-by-step explanation:
Given problem,
→ (8/9) × (2/7)
Let's solve the problem,
→ (8/9) × (2/7)
→ (8 × 2)/(9 × 7)
→ 16/63
Hence, answer is 16/63.
ABC is dilated by a factor of 1/2 to produce A'B'C'
Answers
Answer:
B
Step-by-step explanation:
34 x 1/2 = 17 (Line A'B')
28 x 1/2 = 14 (Angle A')
The length of A'B' and measure of angle A after the dilation are respectively: 15 & 28°.
What is the similarity of triangles?Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"
By Pythagoras theorem we can check, the given sides do not form a right angle triangle.
Now, let's apply the dilation to the given triangle ABC.
Since the dilation factor is 1/2, the length of each side of A'B'C' will be half of the corresponding side of ABC.
So, the length of AB is 30 and the length of A'B' is 1/2 of AB, which is 15.
To find the measure of angle A', we need to use the fact that corresponding angles in similar triangles are congruent. S
ince ABC and A'B'C' are similar triangles, angle A is corresponding to angle A'. We know that angle A is 28 degrees, so angle A' must also be 28 degrees.
Therefore, the answer is D. A'B' is 15 and mZA' is 28°.
To know more about properties of triangles check:
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Triangle NGM is reflected across the x-axis, and is dilated by a factor of
\(2 \frac{1}{2} \)
what are the coordinates of vertices N'G'M'
![Triangle NGM is reflected across the x-axis, and is dilated by a factor of [tex]2 \frac{1}{2} [/tex]what](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/72KqTh42y5ufcNCXgnAIojzv21Q5WAGP.jpeg)
Answers
The coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
From the given graph, N(-4, 6), M(-6, 2) and G(-2, 4).
Scale factor = \(2\frac{1}{2}\)
= 2.5
The reflection of point (x, y) across the x-axis is (x, -y).
Here, N(-4, 6)→(-4, -6)
M(-6, 2)→(-6, -2)
G(-2, 4)→(-2, -4)
Now, with scale factor 2.5, we get
(-4, -6)→2.5(-4, -6)→N'(-10, -15)
(-6, -2)→2.5(-6, -2)→M'(-15, -5)
(-2, -4)→2.5(-2, -4)→G'(-5, -10)
Therefore, the coordinates of vertices N'G'M' are N'(-10, -15), M'(-15, -5) and G'(-5, -10).
To learn more about the reflection over x-axis visit:
https://brainly.com/question/15175017.
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Carson wrote the expression shown below. 5(y + 2) Write an expression that is equivalent to Carson’s expression.
Answers
Answer: 5y+10
Use the distributive property and multiply 5 x y and 5 x 2
An investor has an account with stock from two different companies. Last year, his stock in Company A was worth $3800 and his stock in Company B was worth $3400. The stock in Company A has decreased 22% since last year and the stock in Company B has decreased 12%. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).
Answers
Answer: The total percentage decrease in the investor's stock account is 34%
Step-by-step explanation:
The investor's stock in Company A= $3800
The investor's stock in Company B= $3400
Percentage decline in stock of company A= 22%
Decline in value of stock of company A= 3800× 22/100
= 38×22
= $836
Percentage decline in stock of company B= 3400×12/100
= 34×12
=$408
Total decline in wealth of investor= 836+ 408
= $1244
Total percentage decline in wealth= 1244×100/7200
= 124400/7200
= 17.27%
The percentage decrease in investor's stock is 17.27%
For more information about Percentage:
brainly.com/question/18941982
A company ships prepared meals to customers. The meals are always packed in boxes with the same number of meals in each box. Last month, a customer received a total of 15 meals, packed in 3 boxes, from the company. This month, the customer receives 8 boxes from the company. What is the total number of meals that the customer receives from the company this month?
Answers
Answer:40 meals
Step-by-step explanation:
15/3=5 and 5x8=40
Compare and contrast the methods you can use to
multiply a whole number and a decimal
(This is a general question)
Answers
Answer:
say for example you have 3.14 you multiply by 12.45 what would do?
Step-by-step explanation:
Answer:
say for example you have 3.14 you multiply by 12.45 what would do?
Step-by-step explanation:
Please Help
I need an answer ASAP
Answers
Ms. Gonzales gathered data on the number of vowels in the first and last names of each of her students. The data are shown in the dot plot.
What percentage of the students have 5 or more vowels in their first and last names? A)21%
B)63%
C)37%
D) 70%
Answers
Answer:
b
Step-by-step explanation:
PLS I NEED HELP!! I'LL GIVE U THANKS AND RATES AND MARK U AS BRILLIANT BUT PLS HELP !! IT'S FOR TOMORROW!! :(
Answers
Step-by-step explanation:
10)We have to calculate the average speed if we know the distance and time that Johnatan can jog. The distance
distance=3 2/5 miles = 3.4 miles.
Time=7/8 hour = 0.875 h
Then we will use the formula for the average speed ( velocity )
velocity=distance/time. v = 3.4 m / 0.875 h = 3.866 mph
so therefore The average speed is 3.866 mph.
11) divide 120 / 7/4 (remember 120 = 120/1)
Which means you have to cross multiply (an important part on fraction division, that is, your division would be 120x4 / 1x7).
Then 120x4= 480
And 1x7 = 7
Then you get 480/7, which is the same as 68 4/7 mph
12)8 1/3=25/3
25/3 pages of a book in 10 minutes
Multiply both numbers by the reciprocal of 10, which is 1/10
25/3 x 1/10=25/30=5/6
10 x 1/10=1
So, Charlotte reads 5/6 pages of a book in 1 minute.
13)45 1/2% = 45.5% = 45.5/100 = 91/200
30 1/4% = 30.25% = 30.25/100 = 121/400
75 1/3% = 75.3333...% = 75.333.../100 = 11/15
Answer:
what he said
Step-by-step explanation:
To be able to do the problem 5(10 + 4) mentally, Zack does 50 + 20 instead of 5(14).
Zack is using which of the following properties?
1.) distributive
2.) inverse
3.) associative
4.) commutative
Answers
Answer:
1. Distributive
Step-by-step explanation:
This is because you multiply the number outside the parentheses into the numbers inside the parentheses.
Hope it helped.
Answer:
the answer is 1)
Step-by-step explanation:
Help please help help
Answers
Answer: 4
Step-by-step explanation:
took quiz and passed
An American traveling in Japan wishes to exchange American money for Japanese money. If the exchange rate is $1 = 80 yen, then how many dollars will the traveler need to purchase 10,000yen?
Answers
Answer: $125
Step-by-step explanation:
1/80=x/10,000
10,000/80=125
Hope this helped!
Answer:125 yen
Step-by-step explanation:
Ratio and proportion
Ratio=1:80=x:10,000
x represents dollars which is unknown
1/80=x/10,000
Then you cross multiply
80x=10,000
80x/80=10,000/80
x=125
Therefore,$125 will give you 10,000yen
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Answer:
Step-by-step explanation:
you are completely right please follow your heart <3
You have to look at both x and y and it’s power. You have to look for the lowest power for x and y. For y as you can see that the lowest power is 2. As for x it can be either power of 3 or even 2. When you removed x^2 and y^2 from the equation. The inside parenthesis will be x^2-3xy. Just remember when you divide both x^2 and y^2, you subtract the power.
When you get the answer, please check the answer if it’s the same as the original. Meaning distribution both x^2 and y^2 to inside parenthesis. And for the power, you add them. This way you can double check and see if it’s the same.
HELP ME
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equivalent expressions.
Answers
Answer:
Step-by-step explanation:
1. 3x + 2y - 2x + y + 12 is equivalent to x + 3y + 12
2. 4y + 3y + 3x - 6y - 10 - 2 is equivalent to 3x + y - 12
3. x + 3y + 2x - 3x + 7 + 5 is equivalent to 3y + 12
4. I do not know unfortunately
Answer:
See attached image
Step-by-step explanation:
To solve this, first simplify the compound expressions - the ones with multiple x, y terms and see which of the other expressions matches the simplified expression
I will tell you how to solve one of the more complex expressions; the technique is the same for the rest
Let's take the very last expression
4y + 3y + 3x - 6y -10 - 2
To simplify,
group like terms:
=(4y + 3y - 6y) + 3x +(-10 -2)
= y + 3x - 12
Rewriting with x before y gives
3x + y - 12
and there is a matching 3x + y - 12
4y + 3y + 3x - 6y -10 - 2 ⇔ 3x + y - 12
The solution is in the attached image
what is the slope for this?
Answers
Answer:
4
Step-by-step explanation:
hope this helps
60-40=20, that’s the rise
The run is 4
20/4=5 therefore the slope is 5
Will mark brainliest!
Please help!
Answers
Answer:
1.
30/100×450
0.3×450
135
450-135=315
So the sale price of a shirt is Nu.315
2.
30/100×450
0.3×450
135
450+135=585
So the selling price of the shirt is Nu.585
Answer:
Q1:315
Q2:585
Step-by-step explanation:
450 -30% (Percentage decrease) =
450 - (30% × 450) =
450 - 30% × 450 =
70 ÷ 100 × 450 =
70 × 450 ÷ 100 =315
Q2: 450 + 30(Percentage increase) =
450 + (30% × 450) =
450 + 30% × 450 =
130 ÷ 100 × 450 =
130 × 450 ÷ 100 =585
What is the angle made by the hour hand and the minute of the clock at 8:57
Answers
Answer:
85 degrees
Step-by-step explanation: