Sean adds up all the even integers from 2 to 500, inclusive. Julie adds up all the integers from 1 to 250, inclusive. What is Sean's sum divided by Julie's sum?

Answers

Answer 1

Answer:

Sean's sum divided by Julie's sum is 2.

Step-by-step explanation:

The sum of an arithmetic sequence is:

[tex]\frac{n}{2}(2a+(n-1)d)[/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

In Julie's sequence, a = 1, n = 250, and d = 2

[tex]\frac{\frac{250}{2}(2(2)+(250-1)2)}{\frac{250}{2}(2(1)+(250-1)1)}\\= 2[/tex]

Answer 2

The Sean's sum divided by Julie's sum gives the 2.

What is arithmetic sequence?

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is ; T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is T_{n+1} - T_n for all positive integer values of n

The sum of an arithmetic sequence is;

[tex]= \dfrac{n}{2}[2a + (n-1)d ][/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

[tex]= \dfrac{250}{2}[2(2) + (250-1)2 ]\\[/tex]

In Julie's sequence, a = 1, n = 250, and d = 2 then;

[tex]= \dfrac{250}{2}[2(1) + (250-1)2 ]\\[/tex]

Therefore, the Sean's sum divided by Julie's sum gives the 2.

Learn more about arithmetic sequence here:

https://brainly.com/question/3702506

#SPJ2


Related Questions

Bdbdjekdmfmfmfkfmf help

Answers

Answer:

Green box: 9

Step-by-step explanation:

7/7 x 9/10

1 x 9/10 = 9/10

please help please answer surely please​

Answers

Answer:

C. 48 m

Step-by-step explanation:

The two vertical sides add up to be (8*2) m = 16m.

The two horizontal sides can be added up to (14*2) m = 28m.

(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)

Finally, add the leftover two sides (2*2) m = 4m.

16+28+4 = 48.

Hope this helped!

Answer:

C-48

Step-by-step explanation:

hi , you need to fill in the blanks and then add them all together

Write a linear function f with the values f(0)=−3 and f(7)=11.

Answers

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

how do u solve this​

Answers

isolate the absolute value equation -

add 9 to other side to get 16

divide 16 by 4 to get 4

then you get l-3b + 5l is less than 4

now subtract 5 from both sides

then divide by -3 (which flips the sign)

answer: b is greater than 1/3

HELP PLZZZZZZZZZZ ITS DUE NOW

Answers

Answer:

yes its a right trinagle

Step-by-step explanation:

well first it has a right corner which is a right angle you can tell by putting your hand like a L

Question 2 of 10
A cell membrane is very specific about what it allows across. How does this
help the cell?
A. It helps the cell absorb as many different molecules as possible.
B. The cell works better when it contains fewer proteins.
C. It is better for the cell if most molecules are prevented from
entering
D. Transport proteins allow only enzymes to pass through the
membrane.
SUBMIT
PREVIOUS

Answers

Answer:

I beleive the answer is C

Step-by-step explanation:

Correct me if im wrong, but im pretty sure c is the most logical answer, next to D

If 8 is an element in the domain of ​f(x)=
8x−18
5​, what is the corresponding element in the​ range?

Answers

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Classify each function as linear or nonlinear.

Answers

Step-by-step explanation:

Linear:

4x - y = 3

-6x = 3y - 17

x = y/5

non linear:

(x/2)^2 + 1 = y

y/x^2 = 4

2x^2 = 12 - 8y

a nursery owner buys 9 panes of glass to fix some damage to his greenhouse the 9 panes cost 19.35 unfortunately he breaks 4 more panes while repairing the garage. what is the cost of another 4 panes?

Answers

Answer:

First we divide 19.35 by 9 to find how much it costs for 1 pane, 19.35/9=2.15$.

Then we multiply by 4 to get the cost of 4 panes, 2.15*4=8.60$. The cost of another 4 panes is 8.60$.

At noon, the temperature on Mt. Washington in Maine was 0°C. The temperature dropped an average of -0.5°C an hour. At what time would the temperature be -2.5°C? Explain what you did to get your result.

Answers

Answer:

5:00 pm

Step-by-step explanation:

Given that:

Temperature at noon = 0°C

Average temperature drop rate = - 0.5°C per hour

What time would temperature be - 2.5°C

Hence, target temperature = - 2.5°C

Time taken for temperature to drop = (target temperature / temperature drop rate)

Time taken = - 2.5°C / - 0.5°C / hr

Time taken = 5 hours

Hence, the time at which temperature will be - 2.5°C equals 5 hours after noon

12: 00 noon + 5 hours = 5:00 pm

Hence, temperature will be - 2.5°C by 5:00 pm

What is 70% of 900
Pls answer quickly

Answers

Answer:

630

Step-by-step explanation:

10% of 900 is 90 (900÷10)

20% of 900 is 180 (90×2)     -     basically the 10% times 2

50% of 900 is 450 (900÷2)

450+180=630         -          the sum of the 20% and 50%

Find the distance traveled at 35 mi./hr for 2.5 hr

Answers

Answer:

5.0

Step-by-step explanation:

Answer: 87.5 miles

Step-by-step explanation:

Using the distance formula, S*T=D

35*2.5=87.5 miles

Hope is this helpful! :DD

Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!

Answers

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Write the first four terms of sequence Rule:start at 28.6, subtract 3.1

Answers

28.6, 25.5, 22.4, 19.3... hope this helps!!

Solve the system of equations:

3x-3y = -15
and
-x+y = 5

Answers

Answer:

x=0 y=5

trust me I think its right

Find the total surface area of this cone,
Round to the nearest tenth.

6cm
4cm
[?] cm2

Answers

Answer:

125.7cm²

Step-by-step explanation:

Given parameters:

Slant height, L = 6cm

Base radius  = 4cm

Unknown:

Total surface area = ?

Solution:

To find the total surface area, we use the expression;

      Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL  

Now insert the parameters and solve

   Surface area = [tex]\pi[/tex]r(r + L )

    Surface area  =  [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10  = 125.7cm²

A dyadic angle is an angle that is a sum of principle dyadic angles, this is to say that its measure in radians is zero or 2(pi) x (m/(2^n)) for some of the natural numbers m and n. Show that the sum and average of two dyadic angles is again a dyadic angle.

Answers

Answer:

attached below

Step-by-step explanation:

A dyadic angle is the sum of two principal dyadic angles

lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians

attached below is the proof that sum and average of two dyadic angles is a dyadic angle

Dan uses 340 grams of blueberries to make 24 fluid ounces of smoothie. last week he made 54 fluid ounces of smoothie. how many grams of blueberries did dan use last week?

Answers

Answer: He used 765 grams of blueberries.

Step-by-step explanation:

The quantity of blueberries is directly proportional to the quantity of smoothie.

Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]

[tex]y_2=54\text{ fluid ounces}[/tex]

To find : [tex]x_2[/tex]

[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]

[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]

Hence, he used 765 grams of blueberries.

Step by step please
9x^2 -3х + 16 = 6

Answers

Answer:

Step-by-step explanation:

Rewrite  

9

x

2

as  

(

3

x

)

2

.

(

3

x

)

2

16

Rewrite  

16

as  

4

2

.

(

3

x

)

2

4

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

b

2

=

(

a

+

b

)

(

a

b

)

where  

a

=

3

x

and  

b

=

4

.

(

3

x

+

4

)

(

3

x

4

)

Translate the number equation into a written equation: 2p + 4 = 20

Answers

Answer:

p is 8

Step-by-step explanation:

4 - 20

then 2 divided by 16

then you get 8

Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.

Step-by-step explanation:

i think thats the answer

Abbas is two years younger than Brad. Two years ago, the sum of their ages was the same as Brad's current age. How old are the boys now?

Answers

Answer:

I believe they are younger

Step-by-step explanation:

I hope this helps

A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged banner needs to be at least 8 cm wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.


Please help me it’s emergency please

Answers

Hope this helps you!

A perimeter of a square field is 20cm. what is the area of the field?

Select one:

a. 25cm2

b. 16cm2

c. 12cm2

d. 48cm2​

Answers

25 because each side is 5cm. So when you multiply length times width, you would multiply 5x5. So 25cm^2

The area will be 25cm²

HOPE IT HELPS YOU

Solve the equation 35h+25=40h to find how many hours


__ hour(s)

Answers

the answer is 5 hours
If h is hours, then it’s 5 hours.

What is the value of 6(2b-4) when b =5

Answers

6(2(5)-4)= 6(10-4)= 6(6)=36 so your answer is 36

Answer:

Step-by-step explanation:

6(2b-4)  sub 5 for b

6(2(5)-4)

6(10-4)

60-24

36

The formula for the time it takes to travel a distance of d at an average speed v is d/v

Tessa ran a 100-meter dash at a speed of about 7.5 meters per second.
What calculation will give us the estimated duration Tessas dash in seconds?

A.) 7.5/100

B.) 100/7.5

C.) 7.5/100•60

D.) 100•60/7.5

Answers

Answer:

The answer is B

Step-by-step explanation:

d/r = t

d = 100 m

r = 7.5 m/s

t = ?

t = 100/7.5

Answer:

I believe the answer is B.

Explanation:

If you are trying to find out how fast she ran you need to compare it to the total area of land she ran.

Which graph represents a proportional relationship?

Answers

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

Which is the function represented by the table ?

Answers

Answer:

its b

Step-by-step explanation:

What is the quotient of -3/8 And -1/3?​

Answers

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way!

[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]

Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:

[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]

Now multiply

[tex]\frac{9}{8}[/tex]

And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

A. What is the area of square ABCD?

B. What is the area of square EFGH?

C. What is the area of the unshaded region of ABCD.

NEED HELP!!!!
Not very good with these kinds of problems

Answers

I got you. Answered on a picture
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